In function F = α v 2 sin β t , F denotes force, v velocity and t time. The dimensional formula of α β 2 is same as dimensional formula of

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[ β t ] = [ 1 ] and [ F ] = [ α v 2 ] ​ ⇒ [ α β 2 ] = [ v 2 t 2 F ​ ] = [ L 2 T − 2 T 2 MLT − 2 ​ ] ​ = [ L 2 MLT − 2 ​ ] = [ pressure ] ​

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