Physics: Angular Velocity Problem Set
Name:
1. A point P on a circle rotates through 3π /2 radians in 6 seconds. Find the angular velocity in rad/sec.
2. Find the angular velocity in rad/min associated with 30 rpm.
3. A record player is turning at 8 rad/sec. Find the linear velocity (in/sec) of a point on the edge of the record
if the point is located 5 in. from the center.
4. Find the linear velocity in ft/min of a point rotating at 15 rpm on a circle of radius 3 ft.Find the angular
velocity, in radians per minute, associated with 7.2 rpm (revolutions per minute).
5. Find the linear velocity of a point moving with uniform circular motion, if s = 12 cm and t = 2 sec.
6. A ceiling fan rotates at 300 rpm. The ceiling fan has blades that measure 16 inches from the center.
a) What is the given angular velocity?
b) Find the angular velocity in revolutions per second
c) Find the angular velocity in radians per minute
d) Find the angular velocity in radian per second
e) Find the linear velocity in feet/min
7. A record is spinning at the rate of 25 rpm. If a ladybug is sitting 10 cm from the center of the record:
a) What is the angular velocity of the ladybug? (in radians/sec)
b) What is the speed of the ladybug? (in cm/sec)
c) After 20 seconds, how far has the ladybug traveled? (in cm)
d) After 20 seconds, what total angle has the ladybug turned through? (in radians)
8. A CD spins at 2400 rpm in its player.
a. What is the given angular velocity?
b. Find the angular velocity in radians per minute
c. If the laser is reading at a point 1.2 inches from the center of the CD. Find the linear
velocity in inches/minute.
9. Tires of a bicycle have radius 13 in. and are turning at the rate of 215 revolutions per min. How fast is the
bicycle traveling in miles per hour? (1 mi = 5280 ft.)
10. Point P sweeps out central angle of θ = 12 radians in 5 seconds as it rotates on a circle. Find the angular
velocity of point P.
11. A cylinder with a 2 ft radius is spinning at 450 rpm.
a) Find its angular velocity in degrees per sec.
b) Find the linear speed on the rim in mph.
12. The earth spins on its axis every 24 hours. If the earth’s circumference is 24,800 miles, find the velocity of
a person standing on the equator in miles per hour.
13. The minute hand of a watch is 1.3 cm long. What is the linear velocity, in cm per second, of the tip of this
hand?
14. Earth travels about the sun in an orbit that is almost circular. Assume that the orbit is a circle with radius
93,000,000 mi. Its angular and linear speeds are used in designing solar-power facilities.
a) Assume that a year is 365 days, and find the angle formed by Earth’s movement in one day.
b) Give the angular speed in radians per hour.
c) Find the linear speed of Earth in miles per hour.
Challenge Question: