Horsepower (metric) to Foot-pounds per second conversion

How to convert horsepower (metric) to foot-pounds per second?

Sure, I'd be happy to explain that for you!

Conversion from Horsepower (Metric) to Foot-pounds per Second:

1 Horsepower (metric), denoted as hp (metric), is defined as 75 kgf·m/s (kilogram-force meters per second).

To convert this to foot-pounds per second (ft·lbf/s), we'll use the following conversion factors:

• 1 kgf ≈ 9.80665 newtons (N)
• 1 meter ≈ 3.28084 feet
• 1 newton (1 N) = 1 kg·m/s²
• 1 newton meter (1 N·m) = 1 joule (working in SI units before converting)

So, converting:

1. Convert kgf·m to N·m: $75 \text{ kgf} \cdot \text{m/s} \approx 75 \times 9.80665 \text{ N} \cdot \text{m/s}$ $= 735.49875 \, \text{N} \cdot \text{m/s}$

2. Convert N·m to foot-pounds: $1 \text{ N} \cdot \text{m} = 1 \text{ Joule}$ Since 1 Joule/second = 1 watt (W), we will directly convert the watts to foot-pounds per second.

   • 1 Watt = 0.7375621 ft·lbf/s

So:

735.49875 \, \text{W} \times 0.7375621 \, \text{ft·lbf/s per W} \approx 542.476 \, \text{ft·lbf/s}

Therefore:

1 \, \text{hp (metric)} ≈ 542.476 \, \text{ft·lbf/s}

Real-world Examples:

1. 0.5 Horsepower (metric):

• Half a horsepower is equivalent to: 0.5 \times 542.476 \approx 271.238 \, \text{ft·lbf/s}

  Example: A standard household blender generally operates around this power range.

2. 10 Horsepower (metric):

• Ten horsepower is: 10 \times 542.476 = 5424.76 \, \text{ft·lbf/s}

  Example: Some industrial water pumps and small vehicles like go-karts may operate around 10 metric horsepower.

3. 100 Horsepower (metric):

• One hundred horsepower is: 100 \times 542.476 = 54247.6 \, \text{ft·lbf/s}

  Example: Many mid-sized car engines have around 100 metric horsepower.

4. 500 Horsepower (metric):

• Five hundred horsepower is: 500 \times 542.476 = 271238 \, \text{ft·lbf/s}

  Example: High-performance sports cars and racing cars often have engines producing this kind of power.

Remember, while these examples are illustrative, the actual real-world application can vary depending on specific contexts and settings.