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If alpha=(F)/(v^(2)) sin beta t, find di...

If `alpha=(F)/(v^(2)) sin beta t`, find dimensions of `alpha` and `beta`. Here v=velocity, F=force and t=time.

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Here `sin beta t and betat` must be dimensionless.
So `[betat] = 1 rArr [beta] [(1)/(t)] = [T^(-1)] , [alpha] = [(F)/(v^(2)) sin beta t] = [ (F)/(v^(2))] = [ (MLT^(-2))/(L^(2)T^(-2))] = [ML^(-1)]`
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