What is dimension for power?

Power is a physical quantity that describes the rate at which energy is generated, transmitted, or consumed. Its dimension is given by the unit of measurement used to express power and is determined by its fundamental units. The SI unit of power is the watt (W), which is defined as one joule per second (J/s).

The dimension formula for power in SI units is:

[P] = [E]/[t]

where [P] represents the dimension of power in watts (W), [E] represents the dimension of energy in joules (J), and [t] represents the dimension of time in seconds (s).

The dimensional formula for power can also be expressed in terms of other fundamental units, such as:

[P] = [M][L]^2[T]^-3

where [M] represents the dimension of mass in kilograms (kg), [L] represents the dimension of length in meters (m), and [T] represents the dimension of time in seconds (s).

In general, the dimension of power is determined by the amount of energy transferred or used per unit time. Therefore, power can be expressed in different units depending on the application, such as horsepower (hp), kilowatt-hours (kWh), or British thermal units per hour (BTU/h).