1. What is the HP from RPM and Torque Equation?

The horsepower (HP) equation calculates power output from torque and rotational speed (RPM). This fundamental mechanical engineering formula relates these three key performance metrics in engines and motors.

2. How Does the Calculator Work?

The calculator uses the horsepower equation:

Where:

• \( Torque \) — Rotational force (lb-ft)
• \( RPM \) — Revolutions per minute
• 5252 — Conversion constant (derived from units and radians)

Explanation: The constant 5252 comes from the conversion between rotational units and linear units (1 horsepower = 550 ft-lb/sec, and there are 2π radians in one revolution).

3. Importance of HP Calculation

Details: Calculating horsepower from torque and RPM is essential for evaluating engine performance, comparing different motors, and designing mechanical systems that require specific power outputs.

4. Using the Calculator

Tips: Enter torque in pound-feet (lb-ft) and RPM in revolutions per minute. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is the constant 5252 used in the formula?
A: It's derived from unit conversions - 1 HP = 550 ft-lb/sec and there are 2π radians per revolution (550 × 60 ÷ (2π) ≈ 5252).

Q2: At what RPM does HP equal torque?
A: At 5252 RPM, horsepower and torque values are equal numerically (though their units remain different).

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

Q4: What's the difference between HP and torque?
A: Torque measures rotational force, while horsepower measures the rate of doing work (power). High torque at low RPM can produce the same HP as lower torque at higher RPM.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact, but real-world factors like efficiency losses may affect actual power output.