Question

angular velocity is increasing from 100rps to300rps the number of revolutions will be

Answer 1

The angular acceleration (α) of the wheel is given by

α = Change of angular velocity/Time = (300–100)/10 = 20 revolutions per second2.

[We have retained the angular velocity in rps itself since the number of revolutions is to be found out]

Substituting the known values in the equation, ω2 = ω02 + 2αθ (which is similar to v2 = v02 +2as in linear motion), we have

3002 = 1002 + 2×20×θ

[The angular displacement θ will be in revolutions for obvious reasons]

From the above equation, θ = 2000 revolutions.

Hope this helps :))