Exam 9: Circular Motion

A rock moves in uniform circular motion attached to a string.At point X the string is cut with a very sharp blade and the rock is no longer attached to the string.In what direction will the rock travel?

The maximum speed a driver travel on the Daytona Speedway (bank angle )without using friction between his tires and the road to make the turn is 45 m/s.What is the radius of the turn?

Calgary,Canada is at a latitude of 51.0 degrees north.If one were to travel due south on the Earth's surface from Calgary,what distance would one have to cover to reach the equator.(The radius of the earth is 6370 km)

A CD-ROM starts from rest and undergoes uniform angular acceleration until it reaches 26,000 rpm in 0.25 s.Through what angle does it rotate during this time?

What speed can a driver travel on the Daytona Speedway (bank angle )without using friction between his tires and the road to make the turn? The radius of the turn is 301m.

A centrifuge in a medical laboratory rotates from rest to an angular speed of 3,800 rpm (revolutions per minute)while making 86.0 complete rotations.Find the time required to reach maximum speed,assuming uniform acceleration.

A turntable is initially at rest.It starts rotating with a constant maximum angular acceleration for a period of 5 seconds.It then starts to slow down with an angular acceleration of -1 rad/s² for another 5 seconds.At the end of the 10 second period the turntable has undergone 20 rotations.What is the maximum angular acceleration the turntable reaches?

How far does a person in Dubuque,IA (latitude 42.5 ^$\circ$ )move in the 7.50 hours she sleeps? The radius of the Earth is 6378 km.

A ball attached to the end of a string is swung around in a circular path of radius r.If the radius is doubled and the angular speed is held constant,the linear speed will

The surface of the exit road is horizontal,not banked.(See figure.)If the static friction between the tires and the surface of the road is µs = 0.688 and the maximum speed with which the car can exit the highway safely without sliding is 25.2 m/s,what is the radius of curvature of a highway exit ,r?

A 45-kg woman is riding a Ferris wheel of radius 15 m at a constant speed.The speed of the Ferris wheel that would make her weightless at the top is

Somewhere on the surface of the Earth a yo-yo with m = 0.050 kg is swung in a vertical circle with radius r = 0.40 m.Find the tension on the string at the top if the speed at that point is v = 2.0 m/s.

A sports utility vehicle has tires which are 110 cm in diameter.The tires rotate with a constant angular speed.A point on the tire that is 0.30 m from the center has a tangential speed of 2.0 m/s.What is the tangential speed of a point on the rim of the tire?

It takes a runner 10 seconds to run the curve (100 meter arc length,semicircle)in a race.The centripetal acceleration acting on her is

A centrifuge in a medical laboratory rotates at an angular speed of 5,400 rpm (revolutions per minute).When switched off,it rotates 100.0 times before coming to rest.Find the magnitude of the constant angular acceleration of the centrifuge while it slows down to a stop.

A car drives along a country road at a constant speed of 26 m/s.When it encounters a hill,its tires just barely leave the pavement as the car passes over the top of the hill.What is the radius of curvature of the hill?

A spy satellite is in circular orbit around the Earth at an altitude of 500 km above ground.What is the satellite's orbital speed,if it makes one revolution every 90 min? (You might want to know that the radius of the Earth is approximately 6400 km).

An object moves around a circle and its linear speed is always increasing.Which statement is always true?