Question

A particle of mass 2 kg is moving in a circle of radius 5 m with speed of 10 m/s.

The angular velocity of particle is
a) 10 rad /s

b ) 5 rad / s

c) 2 rad /s

d) 0 rad / s​


And how?

Answer 1

Answer:

apporx 2 rad/s so it's angular velocity is 2rad/sec

Answer 2

Answer:

A particle of mass 2 kg is moving in a circle of radius 5 m with a speed of 10 m/s. The angular velocity of the particle is 2rad/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,

mass of the particle $m=2kg$

the radius of the circular path $r=5m$

the speed of the particle $v=10m/s$

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

⇒ $w=10/5=2rad/sec$

option C is the right answer