Power Formula:
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Definition: This calculator determines the mechanical power output based on torque and angular speed using the fundamental relationship between these quantities.
Purpose: It helps engineers, mechanics, and students calculate power in rotational systems, essential for designing and analyzing motors, engines, and mechanical drives.
The calculator uses the formula:
Where:
Explanation: Power in rotational systems is the product of torque and angular velocity. This relationship is fundamental in mechanical engineering.
Details: Understanding this relationship is crucial for selecting motors, designing transmissions, and analyzing mechanical system performance.
Tips: Enter the torque in Newton-meters and angular speed in radians per second. All values must be > 0.
Q1: How do I convert RPM to rad/s?
A: Multiply RPM by 0.10472 (since 1 RPM = 2π/60 ≈ 0.10472 rad/s).
Q2: What's the difference between torque and power?
A: Torque is rotational force, while power is the rate of doing work (torque × speed).
Q3: Can I calculate torque if I know power and speed?
A: Yes, rearrange the formula: τ = P/ω.
Q4: What are typical torque values for electric motors?
A: Small motors might produce 0.1-1 N·m, while industrial motors can produce hundreds of N·m.
Q5: How does this relate to horsepower?
A: 1 horsepower ≈ 745.7 Watts. Convert Watts to HP by dividing by 745.7.