Question

Choose the correct answer:
1. A particle is moving along a circle of radius
50 cm, with a linear velocity of 4 m/s. The angular
velocity of the particle is
(1) 4 rad/s
(2) 5 rad/s
(3) 8 rad/s S (5) (4) 10 rad/s )​

Answer 1

Answer:

(3) 8 rad/s is the answer

Answer 2

Answer:

A particle is moving along a circle of radius  50 cm, with a linear velocity of

4m/s. The angular  velocity of the particle is 8rad/sec

Explanation:

• In a circular motion, the linear velocity (V) and angular velocity (w) are related as,

        $V=rw$

        where r-radius of the circular path

From the question,

the radius of the circular path $r=50cm=0.5m$

the speed of the particle $v=4m/s$

rearrange the above equation to get the angular velocity of the particle,$w=v/r$

⇒ $w=4/0.5=8rad/sec$

option C is the right answer