1. What is the Torque Formula?

The torque formula interrelates power, torque, and rotational speed in mechanical systems. It is fundamental in automotive engineering, mechanical design, and power transmission applications.

2. How Does the Calculator Work?

The calculator uses the torque formula:

Where:

• \( Torque \) — Rotational force (lb-ft)
• \( HP \) — Horsepower (mechanical power)
• \( RPM \) — Rotational speed (revolutions per minute)
• \( 5252 \) — Conversion constant derived from power and rotational speed relationship

Explanation: The constant 5252 comes from the relationship where 1 horsepower equals 550 foot-pounds per second, and there are 60 seconds in a minute and 2π radians in one revolution.

3. Importance of Torque Calculation

Details: Torque calculation is essential for engine performance analysis, gearbox design, vehicle acceleration prediction, and mechanical system optimization. It helps engineers understand the twisting force available at different engine speeds.

4. Using the Calculator

Tips: Enter horsepower and RPM values. Both values must be positive numbers. The calculator will compute the torque in pound-feet (lb-ft).

5. Frequently Asked Questions (FAQ)

Q1: Why is the constant 5252 used in the formula?
A: The constant 5252 comes from unit conversion: 1 HP = 550 ft-lb/s, and there are 60 seconds/minute and 2π radians/revolution. 550 × 60 ÷ (2π) ≈ 5252.

Q2: What is the difference between torque and horsepower?
A: Torque is the rotational force, while horsepower is the rate at which work is done. Horsepower = (Torque × RPM) ÷ 5252.

Q3: At what RPM does torque equal horsepower?
A: Torque and horsepower are numerically equal at 5252 RPM, as evident from the formula.

Q4: Can this formula be used for electric motors?
A: Yes, the formula applies to any rotational power system, including electric motors, internal combustion engines, and turbines.

Q5: How does torque affect vehicle performance?
A: Higher torque at lower RPM provides better acceleration and towing capacity, while horsepower determines top speed and sustained performance.