1. What is the Relation Between Power, Force and Velocity?

Definition: This calculator demonstrates the fundamental relationship between power, force, and velocity in physics.

Purpose: It helps students and professionals calculate power when force and velocity are known, or to find missing variables in mechanical systems.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P \) — Power (Watts, W)
• \( F \) — Force (Newtons, N)
• \( v \) — Velocity (meters per second, m/s)

Explanation: Power is the product of force and velocity when both are in the same direction. This represents the rate at which work is done.

3. Importance of Power Calculation

Details: Understanding this relationship is crucial in mechanical engineering, vehicle design, and any system where force is applied to moving objects.

4. Using the Calculator

Tips: Enter the force in Newtons and velocity in meters per second. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What if force and velocity aren't in the same direction?
A: The formula becomes \( P = F \times v \times \cos(\theta) \), where θ is the angle between force and velocity vectors.

Q2: What's a typical force value for human-powered systems?
A: A cyclist might exert 30-50N of force continuously, while sprinting can reach 200-300N.

Q3: How does this relate to horsepower?
A: 1 horsepower ≈ 745.7 Watts. You can convert the result by dividing Watts by 745.7.

Q4: What's the difference between power and energy?
A: Power is the rate of energy transfer (energy per unit time), while energy is the capacity to do work.

Q5: Can this formula be used for rotational systems?
A: Yes, with torque (τ) and angular velocity (ω) where \( P = \tau \times \omega \).