Work and Power Calculator
This calculator helps you determine the Work done and Power expended given the Force applied, the Distance over which the force acts, and the Time taken.
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Understanding Work and Power in Physics
In physics, Work (W) is done when a force causes a displacement of an object. It's a measure of energy transfer that occurs when an object is moved over a distance by an external force. The standard unit for work is the Joule (J).
The formula for work is:
Work (W) = Force (F) × Distance (d)
Where:
- Force (F) is the magnitude of the force applied (measured in Newtons, N).
- Distance (d) is the displacement of the object in the direction of the force (measured in Meters, m).
Power (P), on the other hand, is the rate at which work is done or energy is transferred. It tells us how quickly work is performed. The standard unit for power is the Watt (W).
The formula for power is:
Power (P) = Work (W) / Time (t)
Or, by substituting the work formula:
Power (P) = (Force (F) × Distance (d)) / Time (t)
Where:
- Work (W) is the total work done (measured in Joules, J).
- Time (t) is the duration over which the work is done (measured in Seconds, s).
How to Use the Calculator:
Simply input the values for Force, Distance, and Time into the respective fields. The calculator will then compute the total Work done in Joules and the Power expended in Watts.
Example Scenario:
Imagine you are pushing a box across a floor. If you apply a force of 100 Newtons to move the box a distance of 5 meters, and it takes you 10 seconds to do so:
- Work Done: 100 N × 5 m = 500 Joules
- Power Expended: 500 J / 10 s = 50 Watts
This means you did 500 Joules of work and expended power at a rate of 50 Watts during that task.