Circular Motion HW Practice

A racecar speeds along a curve with a tangential speed of 80.0 m/s. The centripetal acceleration on the car is 20.0 m/s2. Find the radius of the curve.

• 320 m

• 230 m

• 256 m

• 265 m

A subject in a large centrifuge has a radius of 8.9 m and a centripetal acceleration of 196.2m/s2. What is the tangential speed of the subject?

• 41.79 m/s

• 45.79 m/s

• 48.89 m/s

• 74.49 m/s

A 2.10 m rope attaches a tire to an overhanging tree limb. A girl swinging on the tire has a tangential speed of 2.50 m/s. If the magnitude of the centripetal force is 88.0 N, what is the girl’s mass?

• 29.6 kg

• 26.9 kg

• 36.9 kg

• 27.96 kg

A bicyclist is riding at a tangential speed of 13.2 m/s around a circular track. The magnitude of the centripetal force is 377 N, and the combined mass of the bicycle and rider is 86.5 kg. What is the track’s radius?

• 40 m

• 20 m

• 24 m

• 48 m

A dog sits 1.50 m from the center of a merry-go-round and revolves at a tangential speed of 1.80 m/s. If the dog’s mass is 18.5 kg, what is the magnitude of the centripetal force on the dog?

• 40 N

• 35 N

• 38 N

• 42 N

A 905 kg car travels around a circular track with a circumference of 3.25 km. If the magnitude of the centripetal force is 2140 N, what is the car’s tangential speed?

• 35 m/s

• 39.6 m/s

• 36.8 m/s

• 39 m/s

A rope attaches a tire to an overhanging tree limb. A girl swinging on the tire has a centripetal acceleration of 3.0 m/s2. If the length of the rope is 2.1 m, what is the girl's tangential speed?

• 2.5 m/s

• 11 m/s

• 1.5 m/s

• 5.84 m/s

As a young boy swings a yo-yo parallel to the ground and above his head, the yo-yo has a centripetal acceleration of 250 m/s2. If the yo-yo’s string is 0.50 m long, what is the yo-yo’s tangential speed?

• 11 m/s

• 2.5 m/s

• 1.5 m/s

• 5.84 m/s

A dog sits 1.5 m from the center of a merry-go-round. The merry-go-round is set in motion, and the dog’s tangential speed is 1.5 m/s. What is the dog’s centripetal acceleration?

• 1.5 m/s2

• 2.5 m/s2

• 11 m/s2

• 5.84 m/s2

A racecar moving along a circular track has a centripetal acceleration of 15.4 m/s2. If the car has a tangential speed of 30.0 m/s, what is the distance between the car and the center of the track?

• 58.4 m

• 2.5 m

• 11 m

• 25.8 m