A belt passes over a wheel of radius 25 cm. If a point on the belt has a speed of 26 m/s. How fast is the wheel turning? Express your answer in rad/s.

Answer 1

The circumference of the wheel is 50π cm = π/2 m

1 rotation covers π/2 m
x rotations cover 26 m

x/1 = 26/(π/2)
x = 52/π = appr 16.55

the wheel is turning at 16.55 rotations/second
or appr 993 rpm