Answer:
The dimension of power is energy divided by the time or [tex][ML^2T^-3][/tex]
Explanation:
Power =[tex]\frac {Work Done}{Time}[/tex]
We can derive Dimensions of Power from both formula.
Power = Force * Velocity
As,
Force = mass * acceleration
Therefore, Dimensions of
Force = [tex][M]*[LT^-2] = [MLT^-2][/tex]
Since,
Velocity = [tex]\frac{Length}{Time}[/tex]
Now, Dimension of
Velocity = [tex][LT^-1][/tex]
We have Both Dimensions,Now we can derive Dimensions Of Power,
Power = Force * Velocity
Power =[tex][MLT^-2] * [LT^-1][/tex]
Power =[tex][ML^2T^-3][/tex]
