A.) A Ferris wheel has a radius of 32 feet and completes one revolution every 5.4 minutes. What is the speed of the Ferris wheel (in radians per minute)?

_______radians per minute



B.) A Ferris wheel has a radius of 39 feet and travels 5.6 feet every second. What is the speed of the Ferris wheel (in radians per second)?

___________radians per second



C.) A Ferris wheel has a radius of 31 feet and travels 0.9 radians every 3 seconds. What is the speed of the Ferris wheel (in radians per second)?

_________radians per second

1 answer

A. 1rev/5.4min * 6.28rad/rev = 1.16 rad/min.

B. Circumference = pi*2r = 3.14 * 78 = 245.0 feet.
5.6ft/s * 6.28rad/245ft. = 0.144 rad/s.

C. 0.9rad/3s = 0.3rad/s.