Question

A 5kg block is tied to a 1m string and is rotated with a constant angular velocity of 2 rad/sec in the horizontal plane. Find the linear momentum of the block.

• A. 5 m/s
• B. 10 N
• C. 2.5 N
• D. 10 kg m/s

Answer 1

The correct option is D

10 kg m/s

Angular velocity $\omega$ = 2rad/sec

Radius = length of string = 1m

Speed v = r $\omega$

v = 2 m/s

Momentum = mass $\times$ speed

= 5 $\times$ 2

= 10 kg m/s