This document contains 6 problems related to circular motion and rotational kinematics. It provides calculations for linear and angular displacement, velocity, and acceleration given information about radius, revolutions, time, and angular displacement. Key calculations include using circumference to find linear displacement from angular displacement, converting between angular velocity units of rev/s, rpm, and rad/s, and using angular velocity and time to find angular displacement.

1. Circular Motion
1.- A cable is wrapped around a drum 80 cm in diameter. How many revolutions of this drum
will cause an object attached to the cable to move a linear distance of 2 m? What is the
angular displacement?
2.- A point on the edge of a large wheel of radius 3 m moves through an angle of 370
. Find the
length of the arc described by the point.
3.- A rotating pulley completes 12 rev in 4 s. Determine the average angular velocity in rev/s,
rpm, and in rad/s?
4.- An electric motor turns at 600 rpm. What is the angular velocity? What is the angular
displacement after 6 s?
5.- A sock stuck to the inside of the clothes dryer spins around the drum once every 2.0 s at a
distance of 0.50 m from the center of the drum.
a) What is the sock’s linear speed?
b) If the drum were twice as wide but continued to turn with the same frequency, would
the linear speed of a sock stuck to the inside be faster than, slower than, or the same
speed as your answer to part a?
6.- Calculate the angular velocity of the Earth (a) as it orbits the Sun.
1.- =5 rad= 0.796 rev 2.- s = 1.94 m 3.- f = 3.00 rev/s f = 180 rpm w = 18.8 rad/s 4.- w
= 62.8 rad/s  = 377 rad 5.- a) v= 1.6 m/s b) v=3.2 m/s 6.- w=1.2x10-7
Rad/s