Converting Units

Description:

Any physical quantity can be expressed in different measuring systems such as CGS, MKS, etc.

Q = n₁ U₁ = n₂ U₂

Where,

Q = Physical quantity

n₁ U₁ = Measurement in unit system - U₁

n₂ U₂ = Measurement in unit system - U₂

So to convert the measurement of a physical quantity from one system to another, we derive a formula form the above equation −

n₂ = n₁ × U₁/U₂

n₂ = n_{1 ×}[M₁^a L₁^b T₁^c]/[M₂^a L₂^b T₂^c]

n₂ = n₁ × [M₁/M₂]^a [L₁/L₂]^b [T₁/T₂]^c

Example

Convert 36 km.Hr⁻¹ into m.s^-1

n₂ = n₁ × [M₁/M₂]^a [L₁/L₂]^b [T₁/T₂]^c

n₂ = 36 × [km/m]¹ [Hr/s]^-1

n₂ = 36 × [1000 m/1 m]¹ [3600 s/1 s]^-1

n₂ = 36 × [1000 m]¹ [3600 s]^-1

n₂ = 36 × 1000 m/3600 s

n₂ = 36 × 5 m/18 s = 10 m.s^-1

Hence,

36 km.Hr^-1 = 10 m.s^-1