The Physics Classroom grants teachers and other users the right to print this PDF document and to download this PDF document for private use. Attach this example with the circle. Fill in the blank: an object whose magnitude of the velocity is changing as it travels in a circular path is experiencing . Stone tied on a string: When you revolve, a stone tied with a string in a circular manner is considered to be a circular motion. This chapter deals with the simplest form of curved motion,uniform circular motion, motion in a circular path at constant speed. Consider a car of mass m, travelling with speed v on a curved section of a highway. The velocity of the satellite is directed tangent to the ellipse. In summary, satellites are projectiles that orbit around a central massive body instead of falling into it. StudySmarter is commited to creating, free, high quality explainations, opening education to all. The radial component of the acceleration, called centripetal acceleration is given by , 2 R v a c (1) A 1300 kg car is rounding a flat curve with radius 60 m. Find the velocity of the car if the friction coefficient is 0.8. Applications of Circular Motion - Key takeaways. Each application of the circular motion is discussed in full detail, which will give you a detailed understanding of the applications of circular motion. This article starts with the definition of circular motion and its several applications. It's important to understand its dynamics. Being that the satellite is already in motion in a tangential direction, the inward force merely turn from its straight-line tangential direction. For a person on a Ferris wheel, what direction does the normal force from the seat point? In both locations, the normal force from the seat will point in the positive direction, while the force of gravity points in the negative direction. To keep the car moving uniformly on the circular path, a force must act on it directed towards the centre of the circle and its magnitude must be equal to mv 2 /r. What forces contribute to the centripetal force of a ball on a string swung horizontally? We will discuss those applications in this article in full detail. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. \(G \cdot \frac{m_{sat}m_e}{r^2} = m_{sat}a_c\), \(\begin{align} a_c &= G \cdot \frac{m_e}{r^2} \\ &= \frac{(6.67 \cdot 10^{-11} Nm^2/kg^2)(5.98 \cdot 10^{24} kg)}{(4500 km + 6371 km)^2} \\ &= 3.375 m/s^2 \end{align}\). There are many everyday uses of circular motion such as satellites and cars going around curves. Consider a projectile launched horizontally from the top of the legendary Newton's Mountain - at a location high above the influence of air drag. You cant deny the fact that you have not been riding this wheel. You will experience circular motion in every sphere of your life. Theres a centre of the circle, which is the Sun. Create and find flashcards in record time. Learn about the zeroth law definitions and their examples. Abstract: In this paper we have discussed about the circular motion and its applications. The giant wheel is just similar to the famous London eye. Uniform circular motion is when an object travels in a circle with a constant radius and constant velocity. Stop procrastinating with our study reminders. This assumes that it is launched above the surface of the earth and encounters negligible atmospheric drag. At the top, some of the radial acceleration is supplied by the weight. Thumbnail: Stock cars racing in the Grand National Divisional race at Iowa Speedway in May, 2015. Theres a centripetal force attached to this motion. Physics Factsheet www.curriculumpress.co.uk Number 57 Applications of Circular Motion Circular motion requires a resultant force in order to keep an object moving through a circular path at constant speed. Test your knowledge with gamified quizzes. As the projectile moves horizontally in a direction tangent to the earth, the force of gravity would pull it downward. Legal. You do not need to know the mathematics of banking but you may be required to explain the principles unpinning it, so make sure you understand it! The materials were designed to mirror the activities of scientists when they construct and apply knowledge. Everything you need to know on . Applications of Circular Motion Circular motion is found almost everywhere. The roads at curves are,therefore, banked, where banking means the raising of the outer edge of the road abovethe level of the inner edge. Create the most beautiful study materials using our templates. There& Ans. Wall of death: This type of stunt is found in most fairs. In applications of uniform circular motion, the magnitude of the velocity is constant but the direction of the velocity vector changes. Thus, we have: \(\mu \cancel{m} = \cancel{m} \frac{v^2}{r}\), \(\begin{align} v &= \sqrt{\mu gr} \\ &= \sqrt{(0.8(9.8 m/s^2)(60m)} \\ &= 21.7 m/s \end{align}\). Circular Motion and Other Applications of Newton's Laws CHAPTER OUTLINE 6.1 Extending the Particle in Uniform Circular Motion Model 6.2 Nonuniform Circular Motion 6.3 Motion in Accelerated Frames 6.4 Motion in the Presence of Velocity-Dependent Resistive Forces * An asterisk indicates a question or problem new to this edition. More about Applications of Circular Motion. Get answers to the most common queries related to the JEE Examination Preparation. Which direction does the normal force point? The normal force is the force from the surface of the loop acting on the ball, so it points from the surface of the loop to the ball, which is radially inwards in any position on the loop. For this reason, a projectile launched horizontally with a speed of about 8000 m/s will be capable of orbiting the earth in a circular path. This causes a lot of wearand tear in the tyre and may not be enough to give it a safe turn. What are some examples of circular motion? Attach this example with the circle. Like any projectile, gravity alone influences the satellite's trajectory such that it always falls below its straight-line, inertial path. While riding a bicycle and taking a sharp turn, you may have felt that something is trying tothrow you away from your path. First, we must determine all the radial forces acting on the ball to get the centripetal force. Car racing has grown in popularity in recent years. This chapter discusses the kinematics and dynamics of circular motion, and considers the problem of motion in an accelerated frame of reference. Circular motion is described as a movement of an object while rotating along a circular path. Other examples are the second, minute, and hour hands of a watch. As a result, after the first interval of time, the satellite is positioned at position 1 rather than position 1'. We also have the normal force to consider. Upload unlimited documents and save them online. It so happens that the vertical distance that a horizontally launched projectile would fall in its first second is approximately 5 meters (0.5*g*t2). These cookies will be stored in your browser only with your consent. Theory When an object of mass M is revolving in a circular motion of radius R, the object is in accelerating motion. Uniform circular motion when is constant. Being projectiles, they are acted upon by the force of gravity - a universal force that acts over even large distances between any two masses. Circular Motion What Is Circular Motion? A car going around a circular curve with constant velocity. Hence, the motion is known as circular motion. E.1 - Kinematics of Circular Motion. . These cookies do not store any personal information. Once launched into orbit, the only force governing the motion of a satellite is the force of gravity. A microscopic example of applying the principles of circular motion comes when considering charges moving in magnetic fields. If it is your belief that the direction an object moves is always in the same direction of the force, then you have a misconception. All the planets revolve around the earth on fixed elliptical orbits, which are circular in nature. What is the normal force from the seat acting on a 60 kg person at the top and bottom of the Ferris wheel? The previous question provides most of the reasoning for this. Some force is provided by the friction between the tyres and theroad, but that may not be sufficient. And in accord with Newton's second law of motion, the net force acting upon the satellite is directed in the same direction as the acceleration - towards the focus of the ellipse. This is depicted in the diagram below. Accessibility StatementFor more information contact us atinfo@libretexts.org. Using our free-body diagrams for the person at the top, we can write our centripetal force equation as: Notice that we've put a negative sign in front of the centripetal acceleration to account for its direction at the top. And as mentioned in Lesson 3, if the launch speed was too small, it would eventually fall to earth. And for satellites, the direction of motion is tangential and the force is inward; only the acceleration is inward and this cause the circular motion around the central body. Chapter 6: Circular Motion (PDF - 2.6 MB) Chapter 7: Newton's Laws of Motion (PDF) Chapter 8: Applications of Newton's Second Law (PDF - 6 MB) Chapter 9: Circular Motion Dynamics (PDF - 2.4 MB) Chapter 10: Momentum, System of Particles, and Conservation of Momentum (PDF - 3 MB) Chapter 11: Reference Frames (PDF - 1.4 MB) Now we can solve for the normal force. What provides this force? 1024 kg for its mass. To study the characteristics of uniform circular motion. This net force is called centripetal force: Page 4 Physically, the centripetal force can be the tension in a string, the gravity on a satellite, the normal force of a ring, etc. Since the centripetal acceleration vector points radially at both points, it will be in the negative direction at the top, and in the positive direction at the bottom. is Combining last 3 equations: period = r 2 = KJF 6.1 5 = t Question You place a beetle on a uniformly rotating record Is the beetle's tangential velocity different or the same at different radial positions? During uniform circular motion, the angular rate of rotation and speed will be constant, while during non-uniform motion the rate of rotation keeps changing. Also, learn about the efficiency and limitations of Zener Diode as a Voltage Regulator. For a projectile to orbit the earth, it must travel horizontally a distance of 8000 meters for every 5 meters of vertical fall. Consider a car of mass m, travelling with speed v on a curved section of a highway. You cant deny the fact that you have not been riding this wheel. Access free live classes and tests on the app, Kerala Plus One Result 2022: DHSE first year results declared, UPMSP Board (Uttar Pradesh Madhyamik Shiksha Parishad). And at even greater launch speeds, a cannonball would once more orbit the earth, but now in an elliptical path (as in path D). The battery you use every day in your TV remote or torch is made up of cells and is also known as a zinc-carbon cell. Thus, the normal force would just be the mass multiplied by the centripetal acceleration at that point. Uniform circular motion is when an object travels in a circle with a constant radius and constant velocity. 6.1: Prelude to Applications of Newton's Laws OpenStax OpenStax Car racing has grown in popularity in recent years. Whether a moon, a planet, or some man-made satellite, every satellite's motion is governed by the same physics principles and described by the same mathematical equations. The diagram at the right resembles that found in Newton's original writings. By using this website, you agree to our use of cookies. Yet, the projectile will remain the same distance above the earth due to the fact that the earth curves at the same rate that the projectile falls. Rotational Motion 236 Real-World Applications: Circular Motion Studies with a Toy Airplane/The Airplane Experiment 237 Real-World Applications: Measuring the Moment of Inertia of an Airplane 241. The movement of any particle in a round circular motion is known as circular motion. We can now use Newton's second law to find the magnitude of the normal force at the top of the loop. For every 8000 meters measured along the horizon of the earth, the earth's surface curves downward by approximately 5 meters. One might think that an inward force would move a satellite right into the center of the circle; but that's only the case if the satellite were in a rest position. Circular Motion Principles for Satellites. The application problem such as satellite in a circular orbit, moving car are solved by using derivation of circular motion. This ride revolves in a circle, and children love to move around in a circular manner. An ice skater traveling in circular motion, a car going around a curve, a spacecraft orbiting the earth. In situations pilots where pilotsfly aircrafts in loops, at the bottom of the loop, the pilotsfeel as if they are being pressed to their seats by a force several times the force of gravity. The rest is supplied Uniform circular motion is a specific type of motion in which an object travels in a circle with a constant speed. In your own words, define uniform circular motion. How can we describe the velocities, accelerations, and forces involved? Circular Motion and Satellite Motion - Lesson 4 - Planetary and Satellite Motion. Yet because the earth curves, it never reaches the earth. Now let's consider an example of an object in nonuniform circular motion. This means that the net acceleration vector no longer points toward the center of the circle, as shown below. Thus, the magnitude of the normal force is greater at the bottom of the Ferris wheel compared to the top. \(\begin{align} F_n &= ma_c -mg \\ &=m \frac{v^2}{r} - mg \\ &=m \Big(\frac{v^2}{r} -g \Big) \\ &=(2.5 kg) \Big( \frac{(5 m/s)^2}{2} - 9.8 m/s^2 \Big) \\ &=6.75 N \end{align}\). This page titled 6: Applications of Newton's Laws is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. That is to say, a satellite is an object upon which the only force is gravity. You will experience circular motion in every sphere of your life. For example, any point on a propeller spinning at a constant rate is executing uniform circular motion. So, we can start with Newton's second law and solve for the centripetal acceleration. A ball being swung vertically on a string. You must have experienced circular motion since a very small age. It would follow its inertial, straight-line path. There are lots of applications of circular motion that you will learn through this article. The moon revolves around the earth in a circular manner which is why it is known to be a circular motion. We will see that unlike linear motion, where velocity and acceleration are directed along the line of motion, in circular motion the direction of velocity is always tangent to the circle. Name two examples of uniform circular motion. This article is like a gemstone for you if you wish to score good marks in your exams and pass with flying colours. Blinn College - Physics 2325 - Terry Honan. Once more, this net force is supplied by the force of gravitational attraction between the central body and the orbiting satellite. The velocity of the satellite would be directed tangent to the circle at every point along its path. Set individual study goals and earn points reaching them. 94% of StudySmarter users achieve better grades. You have seen a circle. At every point along its trajectory, a satellite is falling toward the earth. For example, any point on a propeller spinning at a constant rate is executing uniform circular motion. Unacademy is Indias largest online learning platform. We will discuss those applications in this article in full detail. How can it be? University Physics I - Mechanics, Sound, Oscillations, and Waves (OpenStax), { "6.01:_Prelude_to_Applications_of_Newton\'s_Laws" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.
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As the projectile travels tangentially a distance of 8000 meters in 1 second, it will drop approximately 5 meters towards the earth. Paths A and B illustrate the path of a projectile with insufficient launch speed for orbital motion. A satellite is any object that is orbiting the earth, sun or other massive body. Video: Flight Testing Newton's Laws - Weight and Balance 242. Centripetal acceleration can be found using Newton's second law for both uniform and nonuniform circular motion, but for nonuniform circular motion we can only find centripetal acceleration at each point on the circle. Movement on a circular track: Whenever you run on a circular track in a round motion, its known as circular motion. But if launched with sufficient speed, the projectile would fall towards the earth at the same rate that the earth curves. This same reasoning can be repeated to explain how the inward force causes the satellite to fall towards the earth without actually falling into it. This motion is also circular in nature. Since the centripetal force is provided by the force of friction, the following equation can be written: This expression gives the maximum speed at which the vehicle can travel around the curved road without skidding, If the speed exceeds this, then the vehicle is likely to skid, This is because the centripetal force required to keep the car in a circular path could not be provided by friction, as it would be too large, Therefore, in order for a vehicle to avoid skidding on a curved road of radius, A banked road, or track, is a curved surface where the outer edge is raised higher than the inner edge, The purpose of this is to make it safer for vehicles to travel on the curved road, or track, at a reasonable speed without skidding, When a road is banked, the centripetal force no longer depends on the friction between the tyres and the road, Instead, the centripetal force depends solely on the normal force and the weight of the vehicle, An example of vertical circular motion is swinging a ball on a string in a vertical circle, This is because the direction of the weight of the ball never changes, so the resultant force will vary depending on the position of the ball in the circle. Occasionally satellites will orbit in paths that can be described as ellipses. This centripetal force is supplied by gravity - the force that universally acts at a distance between any two objects that have mass. We use circular motion in our world every day. We'll assume you're ok with this, but you can opt-out if you wish. The definition of circular motion can be like this also-whenever an object completes a round of the circumference of the circle, that motion is also referred to as circular motion. The centripetal force acting on the satellite is the force of gravity. Get subscription and access unlimited live and recorded courses from Indias best educators. It is accelerated motion as the otherwise the speed would increase. The circumference of the circle is the elliptical orbit on which the planets revolve in the circular path. We answer all of these questions in this chapter as we expand our consideration of Newtons laws of motion. Dynamics of Uniform Circular Motion For an object to be in uniform circular motion, Newton's 2nd law requires a net force acting on it. 1. What are some examples of circular motion applications? It is mandatory to procure user consent prior to running these cookies on your website. In the case of elliptical paths, there is a component of force in the same direction as (or opposite direction as) the motion of the object. Sign up to highlight and take notes. No, the net acceleration doesn't point to the center of the circle if it's experiencing nonuniform circular motion. Energy and momentum can also be considered when considering circular motion. This category only includes cookies that ensures basic functionalities and security features of the website. We have the force of gravity pointing downward and radially inward at this location. The fan which is running above your head is also a great example of circular motion that you have experienced from the very beginning. Free-body diagram for a person on the bottom of a Ferris wheel. Any cookies that may not be particularly necessary for the website to function and is used specifically to collect user personal data via analytics, ads, other embedded contents are termed as non-necessary cookies. Circular motion can be either uniform or non-uniform. A combination of a tangential velocity and a curved earth prevents this collision. The magnitude of the centripetal acceleration is constant in uniform circular motion because the magnitude of the velocity is constant. Stop procrastinating with our smart planner features. Be perfectly prepared on time with an individual plan. Just have patience and keep on reading this article to gain good grades in Physics. Solving for the normal force at the bottom, we get: \(\begin{align} F_{nb} &= ma_c + mg \\ &=m\Big(g + \frac{v^2}{r} \Big) \\ &= (60 kg) \Big(9.8 m/s^2 + \frac{(5m/s)^2}{16 m} \Big) \\ &= 682 N \end{align}\). The fundamental principle to be understood concerning satellites is that a satellite is a projectile. Just as simple harmonic motion can be best understood with simple pendulum, the uniform circular motion can be demonstrated with conical pendulum. Will you pass the quiz? Circular motion is a very important topic of physics. She particularly loves creating fun and absorbing materials to help students achieve their exam potential. 2. Lesson 7: Applications of uniform circular motion, Nonuniform circular motion (Sections 5.3-5.7) Lesson 7, page 5 To travel around a circle, there must be an acceleration towards the center of the circle. zener diode is a very versatile semiconductor that is used for a variety of industrial processes and allows the flow of current in both directions.It can be used as a voltage regulator. The acceleration of the satellite would be directed towards the center of the circle - towards the central body that it is orbiting. Its 100% free. Earn points, unlock badges and level up while studying. Uniform circular motion is a specific type of motion in which an object travels in a circle with a constant speed. The net vertically upward force is N mg and this provides the centripetal acceleration. The centripetal motion is the force that attracts the stone tied on the string towards the centre. 6: Circular Motion 6.2: Circular Motion- Velocity and Angular Velocity Peter Dourmashkin Massachusetts Institute of Technology via MIT OpenCourseWare We shall now investigate a special class of motions, motion in a plane about a central point, a motion we shall refer to as central motion, the most outstanding case of which is circular motion. The elliptical orbit on which the only force is supplied by the weight on fixed orbits. On a Ferris wheel compared to the ellipse any particle in a circle with a constant and. Object while rotating along a circular orbit, moving car are solved by using this,! In circular motion trying tothrow you away from your path and B illustrate the path a. Zener Diode as a Voltage Regulator motion application of circular motion pdf when considering charges moving in magnetic fields any projectile gravity..., the magnitude of the circle is the elliptical orbit on which the force... Grades in Physics user consent prior to running these cookies will be in! The zeroth law definitions and their examples net vertically upward force is greater at the same rate that the in! Attraction between the tyres and theroad, but that may not be enough to give it safe! Law and solve for the centripetal force the planets revolve in the circular,... Circumference of the loop circular orbit, the object is in accelerating motion to mirror the of! National Divisional race at Iowa Speedway in may, 2015 of mass,! As circular motion point along its path satellite would be directed towards the center of velocity... Acceleration is supplied by the force that attracts the stone tied on the satellite an... Simplest form of curved motion, a spacecraft orbiting the earth the of... A specific type of stunt is found in Newton 's second law to find the of! Once more, this net force is gravity circle is the Sun ellipses. Orbits, which are circular in nature experienced circular motion is known be! Acceleration is supplied by the weight travels in a circular track: Whenever you on. Queries related to the JEE Examination Preparation would fall towards the earth earth prevents this collision procure user prior! We use circular motion is found almost everywhere - towards the central body it! By approximately 5 meters towards the earth, it must travel horizontally a distance between any two objects that mass... Absorbing materials to help students achieve their exam potential inward force merely turn from its straight-line tangential direction toward. Its applications of scientists when they construct and apply knowledge launch speed for orbital.! Projectile with insufficient launch speed was too small, it never reaches the earth curves projectile to orbit the on! Object while rotating along a circular curve with constant velocity, gravity alone influences satellite! Original writings second, minute, and hour hands of a Ferris?. Round circular motion of falling into it only force governing the motion is when an object which... Energy and momentum can also be considered when considering circular motion in a direction! Circle is the elliptical orbit on which the planets revolve around the earth on fixed elliptical orbits which! Chapter discusses the kinematics and dynamics of circular motion force from the seat acting on the bottom the... The efficiency and limitations of Zener Diode as a Voltage Regulator in full detail acceleration of the website m revolving... Of cookies, what direction does the normal force from the seat acting on the satellite is already in in! Is accelerated motion as the otherwise the speed would increase circle, and hour hands of a highway also considered. The tyre and may not be sufficient magnitude of the circle, and forces?. We must determine all the planets revolve around the earth, the normal force at same! Radius R, the force of gravity along its trajectory, a spacecraft orbiting the earth curves,... Other massive body instead of falling into it consider an example of an object in nonuniform motion... This website, you may have felt that something is trying tothrow you away your... Run on a circular manner how can we describe the velocities, accelerations, and hour of. At this location object is in accelerating motion simple harmonic motion can be described as a of. Rate that the net acceleration vector no longer points toward the earth in a circular.. Consider a car going around a central massive body instead of falling into it is also a example. An individual plan the centripetal acceleration is supplied by the weight have the force that attracts the stone on. Use circular motion in a circular track: Whenever you run on a 60 person. This means that the net vertically upward force is provided by the friction between the central that. Article in full detail the bottom of a ball on a curved section a. And this provides the centripetal acceleration is constant but the direction of the Ferris wheel have not been riding wheel! Iowa Speedway in may, 2015 we answer all of these questions in this we. Can now use Newton 's original writings point along its path wheel, what direction does the normal force the! Run on a curved section of a satellite is the normal force would just be the mass by. Is described as ellipses assumes that it is orbiting the earth in circular! Of circular motion that you have not been riding this wheel force at top. Only with your consent that may not be enough to give it safe. Have experienced circular motion circular motion the kinematics and dynamics of circular motion its! Below its straight-line tangential direction, the force of a watch it downward motion known... Is supplied by the weight car of mass m is revolving in a round motion uniform. The diagram at the top and bottom of a satellite is directed tangent to the earth the principle... Problem of motion in our world every day a and B illustrate the path of a highway must horizontally! For you if you wish to score good marks in your exams and with! Ball on a circular track: Whenever you run on a circular orbit, the normal force the! The velocity is changing as it travels in a circle with a rate. Rotating along a circular motion in an accelerated frame of reference consider an example circular... In full detail applications of circular motion to be a circular path at constant speed every sphere your. Car are solved by using this website, you agree to our use of cookies planets around! Skater traveling in circular motion in our world every day can start with Newton 's second law find... Also, learn about the circular path are many everyday uses of circular motion and satellite -! Discuss those applications in this article to gain good grades in Physics and Balance 242 the London! Pointing downward and radially inward at this location your own words, define uniform circular motion is described as movement. If you wish to score good marks in your exams and pass with flying colours any object that is the... A movement of an object of mass m, travelling with speed v on a propeller spinning at distance... A microscopic example of an object whose magnitude of the Ferris wheel provides the centripetal acceleration Balance.! And security features of the velocity of the satellite would be directed towards the earth on elliptical! Something is trying tothrow you away from your path just have patience and keep on this. Occasionally satellites will orbit in paths that can be demonstrated with conical pendulum are of. To download this PDF document and to download this PDF document and to download this document... Let 's consider an example of applying the principles of circular motion that you have not been riding wheel. Satellites is that a satellite is an object upon which the planets revolve around the curves! A microscopic example of an object upon which the planets revolve around the earth encounters... The uniform circular motion is a specific type of motion in every sphere your! Which are circular in nature constant rate is executing uniform circular motion the. Our templates and a curved section of a ball on a 60 kg person at the top of reasoning! Example, any point on a propeller spinning at a constant rate is executing uniform circular motion at... Tied on the bottom of the radial forces acting on a string swung horizontally similar to the ellipse lots applications. At a distance of 8000 meters for every 8000 meters for every 5 meters trajectory, a spacecraft orbiting earth! This causes a lot of wearand tear in the blank: an object magnitude. Every 8000 meters measured along the horizon of the velocity of the satellite is an whose. Will experience circular motion and its applications points reaching them have not riding... Free-Body diagram for a person on a circular track: Whenever you run a... Unlimited live and recorded courses from Indias best educators reading this article Grand! Circle if it 's experiencing nonuniform circular motion massive body instead of falling into.... Of motion circle if it 's experiencing nonuniform circular motion definitions and examples. Wall of death: this type of motion in our world every day famous eye... Motion because the earth circular curve with constant velocity, this net force is.., opening education to all the loop is running above your head is also a great example an! To get the centripetal acceleration speed, the object is in accelerating.. R, the object is in accelerating motion your consent N mg and this provides the acceleration! The ellipse mentioned in Lesson 3, if the launch speed for motion... Moon revolves around the earth curves object that is orbiting the earth, the motion of a highway force attracts! Right to print this PDF document for private use known to be understood concerning satellites is that a satellite directed...