1. What is the Power Formula?

The power formula P = T × ω calculates mechanical power from torque and angular velocity. This fundamental equation in physics and engineering describes the rate at which work is done or energy is transferred in rotational systems.

2. How Does the Calculator Work?

The calculator uses the power formula:

Where:

• \( P \) — Power (Watts)
• \( T \) — Torque (Newton-meters)
• \( \omega \) — Angular velocity (radians per second)

Explanation: The formula multiplies torque by angular velocity to determine the mechanical power output in a rotational system.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for designing mechanical systems, evaluating engine performance, sizing motors and drives, and optimizing energy efficiency in rotational machinery.

4. Using the Calculator

Tips: Enter torque in Newton-meters and angular velocity in radians per second. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What are the SI units for this calculation?
A: Torque in Newton-meters (Nm), angular velocity in radians per second (rad/s), and power in Watts (W).

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60 (approximately 0.10472) to convert to rad/s.

Q3: Can this formula be used for electrical systems?
A: While the concept is similar, electrical power typically uses different formulas (P = VI for DC, P = VIcosφ for AC).

Q4: What is a typical power range for common applications?
A: Power outputs range from milliwatts in small devices to megawatts in industrial machinery and power generation systems.

Q5: How does this relate to horsepower?
A: 1 horsepower ≈ 745.7 Watts. To convert from Watts to horsepower, divide by 745.7.