Enter the change in work and change in time of an object or system to calculate the total power of that system.

## Power Formula

Power, is the derivative of work with respect to time represented as:

P (Power) = dW/dt, where W is work and t is time.

In a simple equation, the power formula can look something like this:

Power (P) = (W2-W1)/(T2-T1)

- where W1 is the initial work
- W2 is the final work
- T2 – T1 is the total time passed

Power can also be described as the rate of transferring heat, which is synonymous with work. The international standard unit for power it joules per second (J/s). Unlike velocity, force, and acceleration, Power is a scalar quantity and has no direction.

In terms of electricity, the output power of an electric motor is the product of the torque and the velocity or in terms of light, it’s measured in watts.

## How to calculate power

We will now take a look at an example of how to calculate power. For this example we will be looking at an electric motor.

- First, we need to set up our experiment. We hook up the electric motor to a gauge that measures work over time.
- Next, we run the motor for a certain amount of time. Let’s say we run it for 10 seconds and the change in work is 10 J.
- Finally, enter that information into the equation above. P= 10J/10s = 1W.
- Analyze and adjust your results.

For more information on science and engineering calculators, click here.

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