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Find the dimensions of a. angular spee...

Find the dimensions of
a. angular speed `omega`
angular acceleration `alpha`
torque `tau` and
d. moment of interia `I`.
. Some of the equations involving these quantities are `omega=(theta_2-theta_1)/(t_2-t_1), alpha = (omega_2-omega_1)/(t_2-t_1), tau= F.r and I=mr^2`
The symbols have standard meanings.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Angular speed, `baromega=theta/t=[M^0 L^0 T^-1]` (b) Angular acceleration
`alpha= omega/t = (M^0 L^0 T^2)/T = [M^0 L^0 T^-2]`
(c) Torque
`pi = Fr= [MLT^-2] [L]= [ML^2 T^-2]`
(d) Moment of inertia `=Mr^2 = {M] [L^2] = [ML^2 T^0]`
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