A Ferris wheel has a radius of 30 feet and travels 6.8 feet every second. At what constant angular speed does the Ferris wheel rotate at (in radians per second)?

Question

 ______radians per second   

A Ferris wheel has a radius of 26 feet and travels 2 radians every 4 seconds. At what constant angular speed does the Ferris wheel rotate at (in radians per second)?
 ________radians per second   

Answer 1

It takes 30*2π/6.8 = 27.72 seconds to make one revolution. That is an angular speed of
2πrad/27.72s = 0.2267 rad/s
ω = 2π rad / (2π*30ft * 1s/6.8ft) = 1/(30/6.8) = 0.2267 rad/s

Do the other in like wise.