1. What is the Power Torque Formula?

The power torque formula (P = T × ω) calculates mechanical power from torque and angular velocity. It's a fundamental equation in mechanical engineering that describes the relationship between rotational force, speed, and power output.

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: This formula shows that power is directly proportional to both torque and angular velocity. Higher torque or higher rotational speed results in greater power output.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for designing mechanical systems, selecting appropriate motors and engines, evaluating performance, and ensuring energy efficiency in rotational systems.

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 for valid calculation.

5. Frequently Asked Questions (FAQ)

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

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60 (approximately 0.10472) to convert to rad/s. For example, 1000 RPM = 1000 × 0.10472 = 104.72 rad/s.

Q3: Can this formula be used for electrical motors?
A: Yes, this formula applies to any rotational system including electric motors, internal combustion engines, turbines, and mechanical drives.

Q4: What is the difference between power and torque?
A: Torque is a measure of rotational force, while power is the rate at which work is done. Power combines both torque and rotational speed.

Q5: Are there limitations to this equation?
A: This formula assumes constant torque and angular velocity. For systems with varying conditions, instantaneous power calculations may be needed.