Question

A wheel of radius 10 cm is turning at a rate of 5 revolutions per minute calculate the angle through which the wheel turns in 1 second

Answer 1

Given Angular velocity =5rev/min =10π/min.

Given Time =1sec.
Finding angular displacement or angle
10π/min = Angle turned /1sec

10π/60sec*1sec=Angle turned.

Angle turned =π/6 rad =30°

the angle through which the wheel turns in 1 second is π/6 rad or 30°

Answer 2

Answer:

Radius of wheel=10c.m

I revolution of wheel=2 pi r

5 revolution of wheel in per min.= 5×2pi r= 10×pi×10 =100 pi

Revolution in 1 second= 100 pi/60

Angle makes in 1 second

S(distance)= theta r

100pi/60=theta 10

Pi/6 =theta

180/6 = 30 degree

Ans= 30 degree

Step-by-step explanation: