1. What is the Torque and Horsepower Equation?

Definition: This equation relates torque and rotational speed (RPM) to horsepower in mechanical systems.

Purpose: It helps engineers and mechanics calculate engine power output and compare performance characteristics.

2. How Does the Equation Work?

The equation is:

Where:

• \( HP \) — Horsepower
• \( T \) — Torque (pound-feet)
• \( RPM \) — Rotational speed (revolutions per minute)
• 5252 — Conversion constant

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

3. Importance of the Equation

Details: This fundamental equation is crucial for understanding engine performance, gear ratios, and power transmission in vehicles and machinery.

4. Using the Calculator

Tips: Enter torque in pound-feet and RPM values. Both values must be > 0. The calculator will output horsepower.

5. Frequently Asked Questions (FAQ)

Q1: Why is 5252 the magic number?
A: It's the conversion factor between foot-pounds per minute and horsepower (1 HP = 33,000 ft-lb/min, and 5252 = 33,000/(2π)).

Q2: What's the significance of 5252 RPM?
A: At 5252 RPM, horsepower and torque values are equal numerically (when using lb-ft and HP).

Q3: Can I use different units?
A: The equation requires torque in lb-ft and RPM in rev/min. For other units, conversion is needed first.

Q4: How accurate is this calculation?
A: It's theoretically exact, but real-world factors like efficiency losses may affect actual power output.

Q5: Does this work for electric motors?
A: Yes, the equation applies to any rotational power source, including electric motors.