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Power Formula:
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The power formula P = T × ω calculates mechanical power from torque and angular speed. This fundamental equation is widely used in mechanical engineering, automotive design, and rotational systems analysis.
The calculator uses the power formula:
Where:
Explanation: This formula represents the rate at which work is done in a rotational system. The product of torque and angular speed gives the instantaneous power output.
Details: Accurate power calculation is essential for designing mechanical systems, selecting appropriate motors, determining energy requirements, and optimizing system performance in various engineering applications.
Tips: Enter torque in newton-meters (Nm) and angular speed in radians per second (rad/s). Both values must be positive numbers. The calculator will compute the power in watts (W).
Q1: What is the difference between torque and power?
A: Torque is a rotational force, while power is the rate at which work is done. Power combines both torque and rotational speed to measure energy transfer over time.
Q2: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60 (approximately 0.10472) to get rad/s. For example, 1000 RPM = 1000 × 2π/60 ≈ 104.72 rad/s.
Q3: What are typical torque values for different applications?
A: Small electric motors: 0.1-10 Nm, automotive engines: 100-500 Nm, industrial motors: 10-1000+ Nm depending on application.
Q4: Can this formula be used for linear motion?
A: For linear motion, use P = F × v, where F is force (N) and v is linear velocity (m/s). The rotational formula is the rotational equivalent.
Q5: What factors affect power calculation accuracy?
A: Measurement precision of torque and speed, system efficiency losses, temperature effects, and proper unit conversions can all impact accuracy.