Power Force Displacement Time Calculator

What is Power, Force, Displacement, and Time?

Power, force, displacement, and time are fundamental concepts in physics that describe the relationship between energy transfer and motion. Power is the rate at which work is done or energy is transferred. Force is a push or pull acting on an object. Displacement is the change in position of an object. Time is the duration over which a process occurs.

Formula

The relationship between power, force, displacement, and time is expressed by the following equation:

\[ P = \frac{F \times d}{t} \]

Where:

• \(P\) is power, typically measured in watts (W)
• \(F\) is force, measured in newtons (N)
• \(d\) is displacement, measured in meters (m)
• \(t\) is time, measured in seconds (s)

Calculation Steps

Let's calculate the power when a force of 50 N moves an object 10 m in 5 seconds:

1. Identify the known values:
   • Force (F) = 50 N
   • Displacement (d) = 10 m
   • Time (t) = 5 s
2. Apply the power formula: \[ P = \frac{F \times d}{t} \]
3. Substitute the known values: \[ P = \frac{50 \text{ N} \times 10 \text{ m}}{5 \text{ s}} \]
4. Perform the calculation: \[ P = 100 \text{ W} \]

Example and Visual Representation

Let's visualize the power, force, displacement, and time relationship with our example:

This visual representation shows:

• The displacement of the object (10 m)
• The force applied (50 N)
• The power generated (100 W)
• The time taken (5 s)