Formula library

Power from Work and Time

Power from Work and Time
\[P = \frac{W}{t}\]

Variables

Ppower (W)
Wwork or energy transferred (J)
ttime interval (s)

Description

What is this formula?

The power equation calculates the rate at which work is performed or energy is transferred over time.


When to use it

Use this formula when analyzing engines, motors, industrial machinery, electrical systems, or any process involving energy transfer over time.


Example

A machine performs 15000 J of work in 30 s.


Data:

W = 15000 J

t = 30 s


Formula:

P = W/t


Substitution:

P = 15000/30


Result:

P = 500 W


Applications

Mechanical engineering, electrical engineering, industrial systems, energy analysis, motor sizing, and physics education.

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