Question

a ferris wheel takes 5 minutes to complete one full rotation, what is the angular velocity of the ferris wheel

Answer 1

recall that ω = θ/t where θ is the angle in radians.

now, a full rotation, or namely a revolution, is 2π radians, and the ferris wheel does it in 5 minutes, thus ω = 2π/5 which is about 1.256637061435917 rads/minute

Answer 2

0.021 rad/s

Step-by-step explanation:

t = 5 minutes = 5 x 60 = 300 seconds

Time taken to complete one complete round is called time period.

Let the angular velocity is ω.

The relation between angular velocity and the time period is given by

ω = 2 π / T

ω = ( 2 x 3.14 ) / 300 = 0.021 rad/s