Exam 5: Circular Motion

A circular space station (shaped like a big wheel)rotates to produce "artificial gravity".The apparent weight of an astronaut standing on the inside surface of the outer wall is equal to her weight on earth.The inside surface of the outer wall of the space station is 285m from the axis of rotation.What is the period of rotation of the station?

A CD has a diameter of 12.0 cm.If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec²,then the tangential velocity of a point 3.0 cm from the center of the CD after 3.0 sec 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 30.0 seconds from the start?

An object is moving in a circular path of radius 4.00 m.If the object moves through an angle of 1.2 radians,then the tangential distance traveled by the object is

A 2.60 kg mass is moving in a circular path with a constant angular velocity of 5.50 rad/sec and with a tangential velocity of 3.50 m/sec.The centripetal force on the mass is

A CD has a diameter of 12.0 cm and is rotating at an angular velocity of 10.0 rad/sec.If the CD has a constant angular deceleration of -0.5 rad/sec²,then the angular velocity of the CD after 3.0 sec is

An object is moving in a circular path with a radius of 4.00 m.If the object moves through an angle of 45.0 degrees,then the angle is

A CD has a diameter of 12.0 cm.If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec²,then the angular velocity of the CD after 3.0 sec is

A CD has a diameter of 12.0 cm.If the CD is rotating at a constant frequency of 6.00 cycles per second,then the angular velocity 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 tangential velocity of a point 4.0 cm from the center at the time 2.0 seconds from the start?

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 2000 kg car is traveling on a banked curved icy road without sliding.The velocity of the car is 30 m/s and the road is banked at an angle of 20.0 degrees.The radius of curvature of the road is

A car travels around a 35 m radius unbanked curve.The static friction coefficient between the tires and the road is 0.45.What is the maximum speed at which the car can travel without slipping around this corner?

A CD has a diameter of 12.0 cm.If the CD is rotating at a constant angular speed of 200 revolutions per minute,then the tangential velocity of a point on the circumference is

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 period of the rotational motion is

A 2.00 kg mass is moving in a circular path with a radius of 5.00 cm.The mass starts from rest and with constant angular acceleration,obtains an angular velocity of 6.00 rad/sec in 3.00 sec.The mass then comes to a stop with constant deceleration in 4.00 sec.The centripetal component of acceleration of the mass at 2.00 sec is

A 1.00 kg stone attached to a 1.00 m long string is traveling in a vertical circular orbit.What is the minimum tangential velocity at the top of the vertical circular orbit to keep the string from going slack?

An object moving in a circle at a constant speed is

An airplane is traveling at 250 m/s in level flight.If the airplane is to make a change in direction,it must travel is 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 15.0 degrees,then the radius of curvature of the curved path of the airplane is

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 force of gravity on the marble as viewed by the observers on the Earth? (Me = 5.98 $\times$ 10²⁴ kg,Re = 6.37 $\times$ 10⁶ m,G = 6.67 $\times$ 10^-11 N.m²/kg²)