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Find the dimenions of (c )/(axxb) in the...

Find the dimenions of `(c )/(axxb)` in the relation : y = a cos `omegat +bxxt - c sqrtt,` where y is displacement, t is time and `omega` is agnular velocity.

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Here, `y = a cos omegat + bxxt -c sqrt t`
As cos `omega t` is a number, `a =y = [L]`
`bxxt =y, b = (y)/(t) = (L)/(T) = [LT^(-1)]`
`c sqrt t =y, c = (y)/(sqrt t) = (L)/(T^(1//2)) = LT^(1//2)`
`(c )/(axxb) = (LT^(-1//2))/(L(LT^(-1))) = L^(-1) T^(1//2)`
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