Convert a velocity of 72 km h^(1-) into ms^(-1) with the help of dimensional analysis.

Convert a velocity of 72 km h^(1-) into ms^(-1) with the help of dimen

1.	Convert a velocity of 72 km h^(1-) into ms^(-1) with the help of dimensional analysis.
Answer» Solution :`n_1 = 72 KM h^(-1) ` ` n_2 = ? ` ` L_1= 1km ` ` L_2= 1M` ` T_1 = 1H` ` T_2 = 1s` ` n_2 = n_1 [L_1/L_2]^a [T_1/T_2]^b` The DIMENSIONAL formula for velocity is ` [LT^(-1) ]` a = 1b = 1 `n_2 = 72 [ (1km)/(1m) ] [ (1h)/(1s) ]^(-1)` ` = 72 [ (1000 m )/(1m) ]^1 [ (3600s)/(1s) ]^(-1) = 72 XX 1000 xx 1//3600 = 20 ms^(-1)` ` = 72 km h^(-1) = 20 ms^(-1)`