Question

convert velocity of 12cm/s into km/h using dimensional analysis.?​

Answer 1

Explanation:

cm/s=[LT`1]

compare with [L^aT^b]

a=1 and b=-1

12 cm/s = x km/s

let 12=n

now,

conversions-

Units Given New units

1)cm 1)km

2)second 2)second

now,

x= n{1cm/1km}^a * {1sec/1sec}

x=12({1/10000}km/1km)^1 * (1)^-1

x=0.0012km/s

~~~~~ 12cm/s=0.0012km/s