Question

Derive the dimension of Power ​

Answer 1

The dimension of power is energy divided by the time or
`[ML^2T^-3]`

Explanation:

Power =
`\frac {Work Done}{Time}`

We can derive Dimensions of Power from both formula.

Power = Force * Velocity

As,

Force = mass * acceleration

Therefore, Dimensions of

Force =
`[M]*[LT^-2] = [MLT^-2]`

Since,

Velocity =
`(Length)/(Time)`

Now, Dimension of

Velocity =
`[LT^-1]`

We have Both Dimensions,Now we can derive Dimensions Of Power,

Power = Force * Velocity

Power =
`[MLT^-2] * [LT^-1]`

Power =
`[ML^2T^-3]`