Question

Find the value of 60Joule/min in a system100g, 100 cm, and 1 min as the base units.

Answer 1

We have to find the value of 60J/min , if 100g , 100cm and 1min as base unit .
Given quantity is the unit of power.
Dimension of power = ML²T⁻³
e.g., S.I unit of Power = 1Kg.m²/s³
= (1kg/100g).(1m/100cm)²/(1sec/1min)³
= (10) × 1 × (60)³ g cm² /min³
= 2160000 = 2.16 × 10⁶ g cm²/ min³

Now, 60J/min = 60 kg.m²/(s²min) = 1 Kg.m²/s³
But 1 kg.m²/s³ = 2.16 × 10⁶ unit
so, value of 60J/min = 2160000 or 2.16 × 10⁶ g cm²/min³