Question

A fan rotates at 100 rpm. Find its angular velocity and linear velocity if tip of its blades is 0.20 m away from the axis of rotation.

Answer 1

Frequency = ʋ 

ʋ = 100 rpm 

= 100/60 s ^-1 

= \(\frac{5}{3}\)Hz(s ^-1 ) 

Angular velocity = ω

=2 x π x ʋ

=2 x 3.14 x \(\frac{5}{3}\)

= 10.47rad s^-1r = 0.20m

Linear velocity v = ω x r

= 10.47 x 0.20

= 2.094ms^-1