Power from Work and Time
Power from Work and Time
\[P = \frac{W}{t}\]
Variables
P = power (W)
W = work or energy transferred (J)
t = time 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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