1. What is the Power Formula?

The power formula P = T × ω calculates mechanical power from torque and angular velocity. It represents 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 shows that power is directly proportional to both torque and angular velocity. Higher torque or faster rotation results in greater power output.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for designing mechanical systems, evaluating engine performance, sizing motors, 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 units used in this calculation?
A: The formula uses SI units: 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 π/30 (approximately 0.10472) to convert to rad/s. For example, 1000 RPM = 1000 × π/30 ≈ 104.72 rad/s.

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

Q4: What is a typical power range for common applications?
A: Power requirements vary widely - from fractional horsepower motors (hundreds of Watts) to industrial engines (thousands of Watts) and large turbines (millions of Watts).

Q5: How does this relate to horsepower?
A: 1 horsepower (hp) is approximately equal to 745.7 Watts. To convert from Watts to horsepower, divide the power value by 745.7.