A pick-up truck is fitted with new tires which have a diameter of 42 inches. How fast will the pick-up truck be moving when the wheels are rotating at 280 revolutions per minute?

A rock tied to the end of the string swings at a constant angular rate. If you are told that the string can support a total of 100 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.2 kg, and the length of the string is 0.5m? Give your answer in units of radians per second.

You have a horizontal grindstone (a disk) that is 87 kg, has a 0.31 m radius, is turning at 94 rpm (in the positive direction), and you press a steel axe against the edge with a force of 23 N in the radial direction. The kinetic coefficient of friction between steel and stone is 0.20. What is the number of turns, N, that the stone will make before coming to rest?

A washing machine needs 17.1 s to speed up from rest to top speed of 5 rotation for every 3.05 s. If the damp cloths inside are 9.87 cm from the center, what is it's radial acceleration at top speed?

You are on a Ferris Wheel that spins at 2.8 rpm. The ride is 29.8 m across. What is your apparent weight at the top of the ride if you have a mass of 87.6 kg?

A 90 cm long rod rotates around the horizontal axis at one end. We raise the rod to the highest position and let it fall. With what angular speed is it moving at the lowest point?

In the figure, wheel 2 is a tire of a car and wheel 1, which is inside the engine, drives wheel 2 by turning it at the point of contact. Wheel 1 has radius 40.9 cm and turns at 360 rpm, while wheel 2 has radius 21.8 cm. How fast is the car traveling, in m/s?

A flywheel slows from 570 to 422 rev/min while rotating through 170 revolutions.  What is the angular acceleration of the body?

A windmill wheel makes 4.5 revolutions a second. If the windmill wheel slows down to a complete stop within a time of 2 hours, what is the windmill’s angular acceleration?

A cat rides a bike 1km. The wheels of the bike have a radius equal to 10cm. What is the total angle the tires rotate through during the cats ride?