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Power Formula:
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The power formula P = T × ω calculates mechanical power based on torque and angular speed. This fundamental equation in physics and engineering describes the rate at which work is done or energy is transferred in rotational systems.
The calculator uses the power formula:
Where:
Explanation: The formula multiplies torque (rotational force) by angular speed (rate of rotation) to determine the power output or requirement of a rotational system.
Details: Accurate power calculation is essential for designing mechanical systems, selecting appropriate motors and engines, evaluating energy efficiency, and ensuring proper sizing of mechanical components in various applications from automotive to industrial machinery.
Tips: Enter torque in newton-meters (Nm) and angular speed in radians per second (rad/s). Both values must be positive numbers. For RPM conversions, remember that 1 RPM = π/30 rad/s.
Q1: What's the difference between power and torque?
A: Torque is a measure of rotational force, while power is the rate at which work is done. Power incorporates both torque and speed.
Q2: How do I convert RPM to rad/s?
A: Multiply RPM by π/30 (approximately 0.10472) to get rad/s. For example, 1000 RPM = 1000 × π/30 ≈ 104.72 rad/s.
Q3: Can this formula be used for electrical motors?
A: Yes, this formula applies to any rotational system, including electric motors, where you know the output torque and rotational speed.
Q4: What are typical power units besides watts?
A: Power can also be measured in horsepower (1 hp ≈ 745.7 W) or kilowatts (1 kW = 1000 W).
Q5: Does this formula account for efficiency losses?
A: No, this formula calculates theoretical mechanical power. Actual power requirements may be higher due to friction and other efficiency losses in real systems.