Question # The tip of the blade of a fan moves at 350 rpm. Find the average speed of the tip in minutes if the blade

# The tip of the blade of a fan moves at 350 rpm. Find the average speed of the tip in minutes if the blade

length from the centre is ( 1 mathrm{m} )

(a) ( 2200 mathrm{mmin}^{-1} )

(b) ( 110 mathrm{mmin}^{-1} )

(c) ( 350 mathrm{mmin}^{-1} )

(d) Zero

Solution

The angular velocity is ( mathrm{w} )

Lets calculate it:

350 rev per minute

How many revolutions per second?

( 350 / 60=5.83 ) revolutions per second.

One revolution ( =2 pi )

Angular velocity ( =2 pi times 5.83=11.66 pi ) radians

The linear velocity ( =r w )

Where ( r= ) radius, wengular velocity

( V=1 times 11.66 pi=36.63 mathrm{m} / mathrm{s} )