Question

A billiard ball of mass m and radius r, when hit ina horizontal direction by a cue at a height h above its centre, acquired a linear velocity v. Find the angular velocity w acquired by the ball.​

Answer 1

The angular velocity w acquired by the ball is ω =  5voh / 2r^2 .

Explanation:

We know that:

The effect of force FF lies at high hh.

Torque τ = I x α

I = m x  v₀

F⋅h=   2/5  mr^ 2  ⋅   ω/t      [∵α=   ω/t  ]

m⋅ah=  2/5  mr^2  ω/t

m⋅  v 0 / t .  h  =   2/5 mr^2   ω/t

ω =  5voh / 2r^2

Hence the angular velocity w acquired by the ball is ω =  5voh / 2r^2 .

​Also learn more

The wheel of a circle of radius 50 cm is moving with a speed 14 M per second calculate the angular velocity of the wheel?

https://brainly.in/question/4413143

 

​