Power to Speed Converter

How to Use This Calculator

1. Enter the power output in watts (W) in the first input field. This represents the mechanical or electrical power available to move an object.
2. Enter the force or drag acting against the movement in newtons (N) in the second input field. This could be air resistance, friction, or gravity depending on the scenario.
3. Click the "Calculate" button to compute the resulting speed in meters per second (m/s).
4. The calculator will display the speed along with the formula used for the calculation.

Working Principle

This calculator is based on the physical relationship between power, force, and velocity. The formula used is derived from the definition of power in physics:

Power = Force × Velocity

Rearranging for velocity gives us:

Velocity = Power / Force

However, for constant force scenarios, the more accurate formula is:

Velocity = √(2 × Power / Force)

This accounts for the energy needed to accelerate an object from rest to its final velocity under constant force.

Applications

This calculator can be used in various fields including:

• Automotive engineering to calculate vehicle performance
• Aerospace to determine aircraft or spacecraft velocity
• Robotics for motor control and performance analysis
• Physics education for demonstrating energy and motion principles

Example

If a motor provides 500 watts of power to overcome 100 newtons of resistance, the resulting speed would be:

Speed = √(2 × 500 W / 100 N) = √10 = 3.162 m/s