Power is defined as the rate at which work is done or energy is transferred. It tells us how fast a machine or person can do work.
Formula: Power = Work / Time.
Dimensional Formula: [M L² T⁻³].
SI Unit: Watt (W).
1 Horsepower = 746 Watts.
Step 1: The formula for Power is: Power = Work / Time
Step 2: Write the dimensions of Work and Time:
Step 3: Substitute them into the formula: Power = [M L² T⁻²] / [T] Power = [M L² T⁻² · T⁻¹]
Final Dimensional Formula: [M L² T⁻³]
The dimensional formula of power is [M L² T⁻³].
Power is Work divided by Time. Work is [M L² T⁻²] and Time is [T]. Dividing them gives [M L² T⁻³].
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