Question

11. A particle moves in a circle of radius 20 cm with a linear speed of 10
m/s the angular velocity of the particle is
[ ]
a. 25 rads
b. 50 rads
c. 38 rads
d. 45 rads​

Answer 1

Answer:

50 rad/s is the answer option b

Answer 2

Answer:

A particle is moving along a circle of radius  20 cm, with a linear velocity of

10m/s. The angular  velocity of the particle is 50rad/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 $r=20cm=0.2m$

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

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

⇒ $w=10/0.2=50rad/sec$

option B is the right answer