# Work and Power Calculator

The work and power calculator **can help you calculate the power produced by a machine or obtain the amount of work it will perform during a given period.**

This tool contains both a power calculator and a work done calculator. Within a few paragraphs, we will talk about:

- Work and power definitions;
- The power formula;
- Work formula;
- How to calculate work from power and time.

Keep reading to learn more!

## Work definition and formula

First, let's explain the definition of work.

Work is a concept referring to **the energy transferred to an object by an external force along the direction of movement of the object.**

Like energy, the unit of work is the joule (J) or `kg·m²/s²`

.

### Work formula

Mathematically, we define work as the **dot-product** between the force $\overrightarrow{F}$ and the displacement $\overrightarrow{s}$ produced on the body:

Alternatively, we can skip the dot product using $\theta$, the angle between $\overrightarrow{F}$ and $\overrightarrow{s}$:

## Definition of power and power formula

Power is the rate of change of work. In other words, it is the ratio between the amount of work performed by a machine and the time it took to produce said work.

Its unit is the watt (W) which is equivalent to `kg·m²/s³`

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### Equation for power

The equation for power is straightforward:

where $W$ is the work produced by the machine during $t$, the time.

🙋 With this equation, you can also calculate the work produced by a machine by multiplying its power by the time during which the machine is running.

## How to use the work and power calculator

To use our tool, simply input **any two parameters** (work, time, or power), and the calculator will automatically complete the missing variable.

This calculator can also find the work done by a force! Just toggle the `advanced mode`

, and you can obtain its value from the **force** and **displacement**.