Our easy to use cfm to hp calculator is designed to convert cubic feet per minute to horsepower (HP) for those dealing with air compressors, ventilation systems, and fluid dynamics.
CFM measures the volume of air flow, while HP quantifies the power output of a machine.
- If it moves 100 CFM of air
- At a pressure of 100 PSI (pounds per square inch)
- With 90% efficiency
CFM to HP Calculator
CFM | PSI | Efficiency | Horsepower |
---|---|---|---|
100 | 80 | 90% | 12.50 |
200 | 90 | 85% | 37.22 |
250 | 110 | 85% | 45.49 |
300 | 100 | 80% | 56.25 |
400 | 120 | 75% | 75.00 |
500 | 95 | 80% | 83.23 |
600 | 130 | 85% | 108.08 |
700 | 100 | 90% | 105.00 |
750 | 120 | 95% | 133.57 |
800 | 150 | 90% | 144.00 |
900 | 100 | 85% | 117.65 |
1000 | 100 | 88% | 159.77 |
1100 | 120 | 80% | 178.57 |
1200 | 150 | 75% | 192.00 |
1300 | 100 | 90% | 192.86 |
1400 | 140 | 85% | 216.47 |
1500 | 100 | 80% | 248.12 |
CFM to HP Conversion Formula
HP = (CFM × PSI × 0.001406) / Efficiency
Where:
- HP is Horsepower
- CFM is Cubic Feet per Minute
- PSI is Pounds per Square Inch
- 0.001406 is a conversion factor
- Efficiency is the decimal representation of the system’s efficiency (e.g., 0.9 for 90%)
How do you convert CFM to HP?
To convert CFM to HP, follow these steps:
Determine the CFM of your system
Measure the operating pressure in PSI
Estimate the efficiency of your system (usually between 70-90%)
Apply the formula: HP = (CFM × PSI × 0.001406) / Efficiency
Let’s work through an example:
- System CFM: 150
- Operating Pressure: 90 PSI
- Efficiency: 85% (0.85)
Plugging these values into our formula:
HP = (150 × 90 × 0.001406) / 0.85
HP = 22.33
A system moving 150 CFM at 90 PSI with 85% efficiency requires approximately 22.33 horsepower.
How many CFM is equal to 1 HP?
- Pressure: 100 PSI
- Efficiency: 100% (1.0)
Rearranging our formula to solve for CFM:
CFM = (HP × Efficiency) / (PSI × 0.001406)
CFM = (1 × 1.0) / (100 × 0.001406)
CFM ≈ 7.11
Approximately 7.11 CFM equals 1 HP.
How to calculate CFM into HP?
- Measure CFM: Determine the airflow in cubic feet per minute
- Determine PSI: Measure the operating pressure
- Assess efficiency: Estimate your system’s efficiency
- Apply the formula: HP = (CFM × PSI × 0.001406) / Efficiency
- Round the result: HP is typically expressed to two decimal places
Example calculation:
- CFM: 200
- PSI: 120
- Efficiency: 80% (0.8)
HP = (200 × 120 × 0.001406) / 0.8
HP = 42.18
In this scenario, 200 CFM at 120 PSI with 80% efficiency requires approximately 42.18 horsepower.
How much HP can 1000 CFM support?
The horsepower supported by 1000 CFM varies based on pressure and efficiency. Let’s calculate for different pressures assuming 90% efficiency:
- At 50 PSI: HP = (1000 × 50 × 0.001406) / 0.9 HP ≈ 78.11
- At 100 PSI: HP = (1000 × 100 × 0.001406) / 0.9 HP ≈ 156.22
- At 150 PSI: HP = (1000 × 150 × 0.001406) / 0.9 HP ≈ 234.33
How much horsepower can CFM handle?
Generally, higher CFM values can handle more horsepower.
500 CFM: HP = (500 × 100 × 0.001406) / 0.85 HP ≈ 82.71
1000 CFM: HP = (1000 × 100 × 0.001406) / 0.85 HP ≈ 165.41
1500 CFM: HP = (1500 × 100 × 0.001406) / 0.85 HP ≈ 248.12
The amount of horsepower that CFM can handle is not a fixed value; it depends on the specific CFM value, operating pressure, and system efficiency.
Sources / References
- U.S. Department of Energy. (2021). Improving Compressed Air System Performance. https://www.energy.gov/eere/amo/compressed-air-systems
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