1. What is the Mechanical Power Formula?

The mechanical power formula (P = T × ω) calculates the power output of a rotating system, where P is power in watts, T is torque in newton-meters (Nm), and ω is angular velocity in radians per second (rad/s). This is fundamental for motor performance analysis.

2. How Does the Calculator Work?

The calculator uses the mechanical power formula:

Where:

• \( P \) — Mechanical power (watts)
• \( T \) — Torque (newton-meters)
• \( \omega \) — Angular velocity (radians per second)

Explanation: The formula shows that power output increases linearly with both torque and rotational speed. This relationship is crucial for understanding motor performance characteristics.

3. Importance of Mechanical Power Calculation

Details: Calculating mechanical power is essential for motor selection, efficiency analysis, and system design. It helps determine if a motor can handle the required load at desired speeds.

4. Using the Calculator

Tips: Enter torque in Nm and angular speed in rad/s. For RPM conversions, remember that 1 RPM = π/30 rad/s. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert RPM to rad/s?
A: Multiply RPM by π/30 (approximately 0.10472). For example, 1000 RPM = 1000 × π/30 ≈ 104.72 rad/s.

Q2: What's the difference between mechanical and electrical power?
A: Mechanical power is the actual work output, while electrical power is the input. The ratio (output/input) is the motor's efficiency.

Q3: Why is torque important in power calculation?
A: Torque represents the rotational force. Higher torque at the same speed means more power output.

Q4: Can this formula be used for any rotating system?
A: Yes, it applies to all rotating systems including motors, engines, and turbines.

Q5: How does power relate to energy consumption?
A: Power is the rate of energy use. Energy (in watt-hours) = Power × Time (in hours).