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Torque to HP Formula

Horsepower Formula:

\[ HP = \frac{T \times RPM}{5252} \]

lb-ft
rev/min

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1. What is the Torque to HP Formula?

Definition: This calculator converts torque and rotational speed (RPM) to horsepower using the standard mechanical formula.

Purpose: It helps engineers, mechanics, and automotive enthusiasts understand the relationship between torque and horsepower in engines and motors.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ HP = \frac{T \times RPM}{5252} \]

Where:

Explanation: Horsepower is calculated by multiplying torque by RPM and dividing by the constant 5252, which comes from the relationship between rotational work and time.

3. Importance of Torque and Horsepower

Details: Torque measures rotational force, while horsepower measures the rate at which work is done. Understanding both is crucial for engine performance analysis.

4. Using the Calculator

Tips: Enter torque in pound-feet and RPM values. Both must be positive numbers. The result shows the equivalent horsepower at that specific RPM.

5. Frequently Asked Questions (FAQ)

Q1: Why is 5252 the magic number?
A: It's the conversion factor when using lb-ft and RPM units (550 ft-lb/sec = 1 HP × 60 sec/min × 2π rad/rev / 33,000 ft-lb/min).

Q2: At what RPM does torque equal horsepower?
A: At 5252 RPM, torque (lb-ft) and horsepower values will be numerically equal due to the formula.

Q3: Can I use this for electric motors?
A: Yes, the formula works for any rotating machinery when you have torque and RPM values.

Q4: What if I have Nm instead of lb-ft?
A: First convert Nm to lb-ft (1 Nm = 0.73756 lb-ft) before using this calculator.

Q5: Does this account for efficiency losses?
A: No, this calculates theoretical mechanical horsepower. Actual output may be lower due to friction and other losses.

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