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Torque Formula:
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The horsepower to torque formula calculates the torque output of an electric motor based on its horsepower and RPM. This relationship is fundamental in understanding motor performance and mechanical power transmission.
The calculator uses the torque formula:
Where:
Explanation: The constant 5252 is derived from the relationship between horsepower, torque, and RPM, where 1 horsepower equals 550 foot-pounds per second and there are 60 seconds in a minute (550 × 60 ÷ 2π ≈ 5252).
Details: Accurate torque calculation is crucial for motor selection, mechanical system design, and ensuring proper power transmission in various applications from industrial machinery to automotive systems.
Tips: Enter horsepower and RPM values. Both values must be positive numbers greater than zero for accurate calculation.
Q1: Why is the constant 5252 used in the formula?
A: The constant 5252 comes from the conversion between horsepower (550 ft-lb/sec) and RPM (revolutions per minute) with the mathematical relationship (550 × 60 ÷ 2π ≈ 5252).
Q2: What are typical torque values for electric motors?
A: Torque values vary significantly based on motor size and type, ranging from less than 1 lb-ft for small motors to several thousand lb-ft for large industrial motors.
Q3: How does torque relate to motor performance?
A: Torque determines a motor's ability to perform work and overcome resistance. Higher torque means better starting capability and ability to handle heavy loads.
Q4: Can this formula be used for all types of motors?
A: While the basic relationship applies to all rotational power systems, specific motor types (AC, DC, induction, etc.) may have different torque characteristics that affect actual performance.
Q5: How does RPM affect torque output?
A: For a given horsepower, torque decreases as RPM increases. This is why high-torque applications often use gear reduction to maintain torque while reducing speed.