what are the dimension of power(time rate of change of expending energy)
The dimension of power, which is the time rate of change of expending energy, can be determined using units of energy and time.
To calculate the dimension of power, we can start by considering the formula for power:
Power = Energy / Time
The SI unit for energy is the joule (J), and the SI unit for time is the second (s). Substituting these units into the formula, we have:
Power = Joule / Second
Simplifying further, we get:
Power = (Kilogram * Meter^2 / Second^2) / Second
This can be written as:
Power = Kilogram * Meter^2 / Second^3
Therefore, the dimension of power is expressed in kilogram meter squared per second cubed (kg·m^2/s^3) in the SI system.