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Rotational Power Formula:
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Rotational power is the rate at which work is done in rotational motion. It represents the amount of energy transferred or converted per unit time in rotating systems, such as engines, motors, and turbines.
The calculator uses the rotational power formula:
Where:
Explanation: The power output of a rotating system is directly proportional to both the torque applied and the angular velocity of rotation.
Details: Calculating rotational power is essential for designing and analyzing mechanical systems, determining motor performance, optimizing energy efficiency, and ensuring proper sizing of mechanical components in various engineering applications.
Tips: Enter torque in newton-meters and angular velocity in radians per second. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What's the difference between linear and rotational power?
A: Linear power deals with straight-line motion (P = F × v), while rotational power deals with circular motion (P = τ × ω). Both represent the rate of doing work but in different motion types.
Q2: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60. For example, 1000 RPM = 1000 × (2 × 3.1416) / 60 ≈ 104.72 rad/s.
Q3: What are typical torque values for different motors?
A: Small electric motors: 0.1-10 Nm, automotive engines: 100-500 Nm, industrial motors: up to several thousand Nm depending on size and application.
Q4: Can this formula be used for all rotating systems?
A: Yes, the formula P = τ × ω applies to any rotating system where torque and angular velocity are constant. For variable systems, instantaneous power is calculated at each moment.
Q5: How does efficiency affect actual power output?
A: Actual mechanical power output is typically less than theoretical due to friction, heat loss, and other inefficiencies. Efficiency factors (usually 0.7-0.95) should be applied for real-world applications.