College Physics 10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Raymond A. Serway, Chris Vuille
1 Introduction 2 Motion In One Dimension 3 Vectors And Two-Dimensional Motion 4 The Laws Of Motion 5 Energy 6 Momentum And Collisions 7 Rotational Motion And The Law Of Gravity 8 Rotational Equilibrium And Rotational Dynamics 9 Solids And Fluids 10 Thermal Physics 11 Energy In Thermal Processes 12 The Laws Of Thermodynamics 13 Vibrations And Waves 14 Sound 15 Electric Forces And Electric Fields 16 Electrical Energy And Capacitance 17 Current And Resistance 18 Direct-Current Circuits 19 Magnetism 20 Induced Voltages And Inductance 21 Alternating-Current Circuits And Electromagnetic Waves 22 Reflection And Refraction Of Light 23 Mirrors And Lenses 24 Wave Optics 25 Optical Instruments 26 Relativity 27 Quantum Physics 28 Atomic Physics 29 Nuclear Physics 30 Nuclear Energy And Elementary Particles Chapter7: Rotational Motion And The Law Of Gravity
7.1 Angular Speed And Angular Acceleration 7.2 Rotational Motion Under Constant Angular Acceleration 7.3 Relation Between Angular And Linear Quantities 7.4 Centripetal Acceleration 7.5 Newtonian Gravitation 7.6 Kepler's Laws Chapter Questions Section: Chapter Questions
Problem 1WUE: Math Review A circular track has a radius of 125 m. (a) Calculate the distance around the track. (b)... Problem 2WUE: Math Review (a) Convert 47.0 to radians, using the appropriate conversion ratio. (b) Convert 2.35... Problem 3WUE: (a) Convert 12.0 rev/min to radians per second. (b) Convert 2.57 rad/s to rev/min. (See Sections 1.5... Problem 4WUE: A carnival carousel accelerates nonuniformly from rest, moving through an angle of 8.60 rad in 6.00... Problem 5WUE Problem 6WUE: A grindstone increases in angular speed uniformly from 4.00 rad/s to 12.0 rad/s in 4.00 s. (a)... Problem 7WUE: A bicyclist starting at rest produces a constant angular acceleration of 1.60 rad/s2 for wheels that... Problem 8WUE: A car of mass 1 230 kg travels along a circular road of radius 60.0 m at 18.0 m/s. (a) Calculate the... Problem 9WUE: A man whirls a 0.20-kg piece of lead attached to the end of a string of length 0.500 m in a circular... Problem 10WUE: (a) Find the magnitude of the gravity force between a planet with mass 5.98 1024 kg and its moon,... Problem 11WUE: What is the gravitational acceleration close to the surface of a planet with a mass of 2ME and... Problem 12WUE Problem 13WUE Problem 14WUE Problem 15WUE: A comet has a period of 76.3 years and moves in an elliptical orbit in which its perihelion (Closest... Problem 1CQ: In a race like the Indianapolis 500, a driver circles the track counterclockwise and feels his head... Problem 2CQ: If someone told you that astronauts are weightless in Earth orbit because they are beyond the force... Problem 3CQ: If a cars wheels are replaced with wheels of greater diameter, will the reading of the speedometer... Problem 4CQ: At night, you are farther away from the Sun than during the day. Whats more, the force exerted by... Problem 5CQ: A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with... Problem 6CQ: Because of Earths rotation about its axis, you weigh slightly less at the equator than at the poles.... Problem 7CQ: It has been suggested that rotating cylinders about 10 miles long and 5 miles in diameter he placed... Problem 8CQ: Describe the path of a moving object in the event that the objects acceleration is constant in... Problem 9CQ: A pail of water can be whirled in a vertical circular path such that no water is spilled. Why does... Problem 10CQ: Use Keplers second law to convince yourself that Earth must move faster in its orbit during the... Problem 11CQ: Is it possible for a car to move in a circular path in such a way that it has a tangential... Problem 12CQ: A child is practicing for a BMX race. His speed remains constant as he goes counterclockwise around... Problem 13CQ: An object executes circular motion with constant speed whenever a net force of constant magnitude... Problem 1P: Angular Speed and Angular Acceleration (a) Find the angular speed of Earths rotation about its axis.... Problem 2P: A wheel has a radius of 4.1 m. How far (path length) does a point on the circumference travel if the... Problem 3P: The tires on a new compact car have a diameter of 2.0 ft and are warranted for 60 000 miles, (a)... Problem 4P: A potters wheel moves uniformly from rest to an angular velocity of 1.00 rev/s in 30.0 s. (a) Find... Problem 5P: A dentists drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a rate... Problem 6P: A centrifuge in a medical laboratory rotates at an angular velocity of 3600 rev/min. When switched... Problem 7P: A machine part rotates at an angular speed of 0.06 rad/s; its speed is then increased to 2.2 rad/s... Problem 8P: A bicycle is turned upside down while its owner repairs a flat tire. A friend spins the other wheel... Problem 9P: The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.60 m and 1.02 m,... Problem 10P: The tub of a washer goes into its spin-dry cycle, starting from rest and reaching an angular speed... Problem 11P: A car initially traveling at 29.0 m/s undergoes a constant negative acceleration of magnitude 1.75... Problem 12P: A 45.0-cm diameter disk rotates with a constant angular acceleration of 2.50 rad/s2. It starts from... Problem 13P: A rotating wheel requires 3.00 s to rotate 37.0 revolutions. Its angular velocity at the end of the... Problem 14P: An electric motor rotating a workshop grinding wheel at a rate of 1.00 102 rev/min is switched off.... Problem 15P: A car initially traveling eastward turns north by traveling in a circular path at uniform speed as... Problem 16P: It has been suggested that rotating cylinders about 10 mi long and 5.0 mi in diameter be placed in... Problem 17P: (a) What is the tangential acceleration of a bug on the rim of a 10.0-in.-diameter disk if the disk... Problem 18P: An adventurous archeologist (m = 85.0 kg) tries to cross a river by swinging from a vine. The vine... Problem 19P: One end of a cord is fixed and a small 0.500-kg object is attached to the other end, where it swings... Problem 20P: A coin rests 15.0 cm from the center of a turntable. The coefficient of static friction between the... Problem 21P: A 55.0-kg ice skater is moving at 4.00 m/s when she grabs the loose end of a rope, the opposite end... Problem 22P: A 40.0-kg child swings in a swing supported by two chains, each 3.00 m long. The tension in each... Problem 23P: A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of... Problem 24P: A sample of blood is placed in a centrifuge of radius 15.0 cm. The mass of a red blood cell is 3.0 ... Problem 25P: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.00 m, rotating with an angular... Problem 26P: A space habitat for a long space voyage consists of two cabins each connected by a cable to a... Problem 27P: An air puck of mass m1 = 0.25 kg is tied to a siring and allowed to revolve in a circle of radius R... Problem 28P Problem 29P: A woman places her briefcase on the backseat of her car. As she drives to work, the car negotiates... Problem 30P: A pail of water is rotated in a vertical circle of radius 1.00 m. (a) What two external forces act... Problem 31P: A 40.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a... Problem 32P Problem 33P: The average distance separating Earth and the Moon is 384 000 km. Use the data in Table 7.3 to find... Problem 34P: A satellite has a mass of 100 kg and is Located at 2.00 106m above the surface of Earth. (a) What... Problem 35P: A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are... Problem 36P Problem 37P: Objects with masses of 200. kg and 500. kg are separated by 0.400 m. (a) Find the net gravitational... Problem 38P: Use the data of Table 7.3 to find the point between Earth and the Sun at which an object can be... Problem 39P Problem 40P: Two objects attract each other with a gravitational force of magnitude 1.00 108 N when separated by... Problem 41P Problem 42P Problem 43P: A satellite of Mars, called Phoebus, has an orbital radius of 9.4 106 m and a period of 2.8 104 s.... Problem 44P Problem 45P: Two satellites are in circular orbits around the Earth. Satellite A is at an altitude equal to the... Problem 46AP: Additional Problems A synchronous satellite. which always remains above the same point on a planet's... Problem 47AP: (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77... Problem 48AP: Neutron stars are extremely dense objects that are formed from the remnants of supernova explosions.... Problem 49AP: One method of pitching a softball is called the wind-mill delivery method, in which the pitchers arm... Problem 50AP: A digital audio compact disc (CD) carries data along a continuous spiral track from the inner... Problem 51AP: An athlete swings a 5.00-kg ball horizontally on the end of a rope. The ball moves in a circle of... Problem 52AP: A car rounds a banked curve where the radius of curvature of the road is R, the banking angle is ,... Problem 53AP Problem 54AP: A 0.400-kg pendulum bob passes through the lowest part of its path at a speed of 3.00 m/s. (a) What... Problem 55AP: A car moves at speed v across a bridge made in the shape of a circular arc of radius r. (a) Find an... Problem 56AP Problem 57AP: Because of Earths rotation about its axis, a point on the equator has a centripetal acceleration of... Problem 58AP Problem 59AP: In Robert Heinleins The Moon Is a Harsh Mistress, the colonial inhabitants of the Moon threaten to... Problem 60AP: A roller coaster travels in a circular path, (a) Identify the forces on a passenger at the top of... Problem 61AP: In a home laundry dryer, a cylindrical tub containing wet clothes is rotated steadily about a... Problem 62AP: A model airplane of mass 0.750 kg flies with a speed of 35.0 m/s in a horizontal circle at the end... Problem 63AP: A skier starts at rest at the top of a large hemispherical hill (Fig. P7.63). Neglecting friction,... Problem 64AP: Casting of molten metal is important in many industrial processes. Centrifugal casting is used for... Problem 65AP: Suppose a 1 800-kg car passes over a bump in a roadway that follows the arc of a circle of radius... Problem 66AP: A stuntman whose mass is 70 kg swings from the end of a 4.0-m-long rope along the arc of a vertical... Problem 67AP Problem 68AP: The pilot of an airplane executes a constant-speed loop-the-loop maneuver in a vertical circle as in... Problem 69AP: A piece of mud is initially at point A on the rim of a bicycle wheel of radius R rotating clockwise... Problem 70AP: A 0.275-kg object is swung in a vertical circular path on a string 0.850 m long as in Figure P7.70.... Problem 71AP: A 4.0-kg object is attached to a vertical rod by two strings as shown in Figure P7.69. The object... Problem 72AP: The maximum lift force on a bat is proportional to the square of its flying speed v. For the hoary... Problem 73AP: (a) A luggage carousel at an airport has the form of a section of a large cone, steadily rotating... Problem 74AP: A 0.50-kg ball that is tied to the end of a 1.5-m light cord is revolved in a horizontal plane, with... Problem 75AP: In a popular amusement park ride, a rotating cylinder of radius 3.00 m is set in rotation at an... Problem 76AP: A massless spring of constant k = 78.4 N/m is fixed on the left side of a level track. A block of... Problem 4WUE: A carnival carousel accelerates nonuniformly from rest, moving through an angle of 8.60 rad in 6.00...
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Concept explainers
A tire placed on a balancing machine in a service station starts from rest and turns through 4.97 revolutions in 1.27s before reaching its final angular speed.
a) Calculate its angular acceleration .
b) What is the angular speed of the tire after 1.27s?
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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