The rate of change of momentum = Angular momentum / time.
Rate of change of momentum = M[tex]R^{2}[/tex]πF/t
To deduce the total rate of change of momentum in a cylindrical shape object, we must first consider its angular momentum.
The angular momentum of a cylindrical shape about its axis will be the product of its moment of inertial about its axis and its angular speed.
Where
Moment of inertia I = M[tex]R^{2}[/tex]/2
Angular speed W = 2πF
Angular Momentum = IW = M[tex]R^{2}[/tex]/2 x 2πF
Angular Momentum = M[tex]R^{2}[/tex]πF
The rate of change of momentum = Angular momentum / time.
That is,
Rate of change of momentum = M[tex]R^{2}[/tex]πF/t
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