a circular disc of moment of inertia 10kg m² rotates about its axis at a constant speed of 60rpm under the action of an electric motor of power 31.4 W .if the motor is switched off ,how many roatations will it cover before coming to rest ?

Question

a circular disc of moment of inertia 10kg m2 rotates
about its axis at a constant speed of 60rpm under the action of an
electric motor of power 31 4 W if the motor is switched off ,how
many roatations will it cover before coming to rest ?

Vijaya Nittala · Accepted Answer

P = τωω=60rpm×2π60=2π rad/sI=10 kgm2τ=Pω=31
4 W2π=5 Nτ=Iαα=5 N10=0
5 rad/s2ω2-ω02=2αθ02-(2π)2 =2×0
5×θθ = 4π22πn=4π2n=2π=6
28 rotations

a circular disc of moment of inertia 10kg m2 rotates about its axis at a constant speed of 60rpm under the action of an electric motor of power 31.4 W .if the motor is switched off ,how many roatations will it cover before coming to rest ?

a circular disc of moment of inertia 10kg m² rotates about its axis at a constant speed of 60rpm under the action of an electric motor of power 31.4 W .if the motor is switched off ,how many roatations will it cover before coming to rest ?