Question

If the angular speed of a particle 10 cm away from the axis of rotation of a rigid body is 12 rad/s, what will be the angular speed of a particle 20 cm away from the axis of rotation?
(A) 2 rad/s
(B) 15 rad/s
(C) 12 rad/s
(D) 10 rad/s

Answer 1

Answer:

bro b is the correct

Explanation:

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Answer 2

Answer:

If the angular speed of a particle 10 cm away from the axis of rotation of a rigid body is 12 rad/s, the angular speed of a particle 20 cm away from the axis of rotation is 6rad/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, it is given that

the radius of the circular path $r=10cm=0.1m$

the angular velocity of the particle,$w=12rad/sec$

substitute the given values, we get

the linear velocity of the particle $V=12*0.1=1.2m/s$

the new radius of the path $r=20cm=0.2m$

new angular speed is $w=v/r$

⇒ $w=1.2/0.2=6 rad/sec$