Question

A wheel rotates with a constant angular velocity of 300 r.p.m. The angle through which the wheel rotates in one second is 

(A) π rad 

(B) 5π rad 

(C) 10 π rad 

(D) 20 π rad

Answer 1

Answer is (C) 10 π rad 

Frequency of wheel, n = \(\frac{300}{60}\) = 5 r.p.s.

Angle described by wheel in one rotation = 2π rad. 

Therefore, angle described by wheel in 1 sec θ = 2π x 5 radians = 10 π rad