Question

On application of a constant torque, a wheel is turned from rest through an angle of `200` radius in `8 s`. What is its angular acceleration ? If the same torque continues to act, what will be the angular velocity of the wheel `16 s` from the start ?

Answer 1

Here, `omega_(1) = 0, theta = 200 rad, t = 8 s`,
`alpha = ?, omega_(2) = ?, t = 16 s`
From `theta = omega_(1)t + (1)/(2) alpha t^(2)`
`200 = 0 + (1)/(2) alpha (8)^(2)`,
`alpha = (200)/(32) = 6.25 rad s^(-2)`
Again, from `omega_(2) = omega_(1) + alpha t = 0+ 6.25 xx 10`
`= 100 rad//s`