Answer :

K = k Ia ωb

Dimensions of K = [ML2T-2]

Dimensions of I = [ML2]

Dimensions of ω = [T-1]


[ML2T-2] = [ML2] a [T-1] b

= [ ML2aT-b]

From here 2a = 2 and -2 = -b

So a = 1 and b = 2.

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