Conversion using the Horsepower Calculation Formula
To calculate horsepower (HP) for single-phase and three-phase electrical systems, use the following formulas:
How to Calculate Single-Phase Horsepower Formula.
How to Calculate Three-Phase Horsepower Formula.
For three-phase systems, it is:
- V = Voltage (Volts)
- I = Current (Amperes)
- Efficiency η (%) = Motor efficiency (decimal form)
- Power Factor (PF) = Typically between 0.7 and 1
- 746 W = 1 HP (conversion factor)
- √3 (1.732) = Three-phase power factor
- Power Factor (PF) = Usually between 0.7 and 1
Where:
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Horsepower conversion chart
System Type | Voltage (V) | Current (I) [A] | Efficiency | Power Factor (PF) | Horsepower (HP) |
---|---|---|---|---|---|
Single-phase | 120 | 10 | 0.85 | 0.9 | 1.10 |
Single-phase | 240 | 15 | 0.9 | 0.95 | 6.11 |
Single-phase | 480 | 20 | 0.95 | 1 | 19.05 |
Three-phase | 415 | 15 | 0.9 | 0.85 | 5.82 |
Three-phase | 400 | 30 | 0.92 | 0.95 | 28.07 |
Three-phase | 690 | 40 | 0.95 | 1 | 77.28 |
Frequently Asked Questions - HorsePower Calculate Conversion FAQs:
How do you calculate horsepower in mechanical systems?
To determine horsepower, divide torque by rotational speed and multiply by 5,252, where torque uses lb-ft units and RPM stands for rotational speed. Anyone who uses 200 lb-ft torque at a speed of 3000 RPM will get 114.2 HP.
What is the relationship between horsepower and electrical power?
One horsepower equals 746 watts of electrical power. The estimation of electrical HP starts by using HP = (Volts × Amps × PF × √3) / 746 for three-phase systems and HP = (Volts × Amps × PF) / 746 for single-phase circuits.
How do you calculate horsepower for pump applications?
The formula to calculate pump horsepower requires (Flow × Head × SG) / (3960 × Efficiency), where Flow is measured in GPM, Head indicates feet, and SG stands for specific gravity. This determines required motor size.
Why is horsepower calculation important for motor selection?
By conducting horsepower calculations, users can determine the right motor size as well as the energy requirements and the appropriate application limitations. The system checks equipment performance against load needs to guarantee proper operation.
How do you calculate horsepower losses in mechanical systems?
The power loss calculation should be HP Loss = Input HP - Output HP. A system displaying 50 HP input and 45 HP output reveals an efficiency of 90% because there are 5 HP of power lost.