Exam 5: Circular Motion

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec² acquires an angular velocity of 5.0 rad/sec.The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration.What is the tangential velocity of a point 4.0 cm from the center at the time 25.0 seconds from the start?

A planet of mass M orbits a star in a circular orbit of radius R,in orbital period T.What would be the orbital period of another planet,orbiting at radius R,but having mass 2M?

A 4,000 kg satellite is traveling in a circular orbit 200 km above the surface of the Earth.A 3.00 gram marble is dropped inside the satellite.What is the acceleration of the marble as viewed by the observers inside the satellite? (Me = 5.98 $\times$ 10²⁴ kg,Re = 6.37 $\times$ 10⁶ m,G = 6.67 $\times$ 10^-11 N.m²/kg²)

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec² acquires an angular velocity of 5.0 rad/sec.The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration.What is the centripetal acceleration of a point 4.0 cm from the center at the time 10.0 seconds from the start?

Two moons orbit a planet in nearly circular orbits.Moon A has orbital radius r,and moon B has orbital radius 4r.Moon A takes 20 days to complete one orbit.How long does it take moon B to complete one orbit?

Two planets each travel in a circular orbit about a star at radii of r_a = 2R and r_b = R,respectively.What is the ratio of their periods T_a/T_b?

A car travels on a road that,if viewed from the side,has a semicircular bump.When at the top of the bump,the occupants of the car feel as though they weigh half their normal weight.What is the speed of the car if the radius of the semicircle is 120 m?

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.00 rad/sec² acquires an angular velocity of 5.00 rad/sec.The CD continues rotating at 5.00 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration.What is the total acceleration of a point 4.00 cm from the center at the time 2.00 seconds from the start?

The Crab Pulsar has a period of length 33.085 ms.It is estimated to have an equatorial radius of 15 km,about average for a neutron star.What is the value of the centripetal acceleration of an object on the surface at the equator of the pulsar?

A 2000 kg car is traveling on a banked curved icy road.The road is banked at an angle of 12.0 degrees and has a radius of curvature of 500 m.The velocity of the car necessary to travel on the icy road without sliding is

A car travels at 17 m/s without skidding around a 35 m radius unbanked curve.What is the minimum value of the static friction coefficient between the tires and the road?

A CD has a diameter of 12.0 cm.If the CD is rotating at a constant angular velocity of 20.0 radians per seconds,then the frequency of the rotational motion is

A 4.00 kg mass is moving in a circular path of radius 4.10 m with a constant angular velocity of 5.00 rad/sec.The centripetal force on the mass is

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec² acquires an angular velocity of 5.0 rad/sec.The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration.What is the centripetal acceleration of a point 4.0 cm from the center at the time 25.0 seconds from the start?

The Crab Pulsar has a period that is currently of length 33.085 ms.It is estimated to have an equatorial radius of 15 km,about average for a neutron star.The pulsar is slowing in its rotation so that it is expected to come to rest 9.5 $\times$ 10¹⁰ s in the future.What is the value of the tangential acceleration of an object on the neutron star's equator?

A 2000 kg car is traveling on a banked curved icy road without sliding.The velocity of the car is 32.0 m/s and the road is banked at an angle of 20.0 degrees.The radius of curvature of the road is

A 5,000 kg satellite is orbiting the Earth in a circular path.The height of the satellite above the surface of the Earth is 800 km.The time it takes for the satellite to travel around the Earth is (Me = 5.98 $\times$ 10²⁴ kg, Re = 6.37 $\times$ 10⁶ m, G = 6.67 $\times$ 10^-11 N.m²/kg²)

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec² acquires an angular velocity of 5.0 rad/sec.The CD continues rotating at 5.0 rad/sec for 15 seconds and then slows to a stop in 12.0 second with a constant angular deceleration.What is the angular distance traveled by a point 4.0 cm from the center,at the time 2.0 seconds from the start?

An airplane is traveling at 150 m/s in level flight.If the airplane is to make a change in direction,it must travel in a horizontal curved path.To fly in the curved path,the pilot banks the airplane at an angle such that the lift has a horizontal component that provides the horizontal centripetal acceleration to move in a horizontal circular path.If the airplane is banked at an angle of 12.0 degrees,then the radius of curvature of the curved path of the airplane is

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.00 rad/sec² acquires an angular velocity of 5.00 rad/sec.The CD continues rotating at 5.00 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration.What is the total acceleration of a point 4.00 cm from the center at the time 10.0 seconds from the start?