1. What is a Power Speed Torque Calculator?

Definition: This calculator computes mechanical power based on torque and angular velocity using the fundamental power-torque relationship.

Purpose: It helps engineers, technicians, and students determine power requirements in rotational systems like motors, engines, and machinery.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: Power is the product of torque and angular speed. This relationship is fundamental in rotational mechanics.

3. Importance of Power Calculation

Details: Accurate power calculation ensures proper motor sizing, energy efficiency, and system performance in mechanical designs.

4. Using the Calculator

Tips: Enter torque in Nm and angular speed in rad/s. For RPM conversion: 1 RPM = 0.10472 rad/s.

5. Frequently Asked Questions (FAQ)

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

Q2: What if I know power and need torque?
A: Rearrange the formula: T = P/ω. Enter power and speed to find torque.

Q3: What are typical torque values for motors?
A: Small motors: 0.1-10 Nm, Industrial motors: 10-1000 Nm, Large engines: 1000+ Nm.

Q4: How does this relate to horsepower?
A: 1 HP ≈ 745.7 W. Divide wattage by 745.7 to get horsepower.

Q5: Why use radians instead of degrees?
A: Radians are the natural unit for angular measurement in physics calculations.