Foot-pounds per second to Horsepower (metric) conversion

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

Sure, I'd be happy to explain how to convert foot-pounds per second (ft-lb/s) to horsepower (hp).

1 horsepower (metric) is defined as approximately 746 watts. In the imperial system, power can also be expressed in terms of foot-pounds per second. To make the conversion, we need to know:

1 horsepower (imperial) = 550 foot-pounds per second.

However, horsepower (metric) is slightly different, as 1 hp (metric) is 735.5 watts. Therefore:

1 horsepower (metric) = 550 ft-lb/s * (746 watts / 735.5 watts).

This results in a conversion factor where:

1 hp (metric) = 542.476 ft-lb/s.

To convert 1 foot-pound per second to horsepower (metric), you use the inverse of the above relation. So:

1 ft-lb/s * (1 hp/542.476 ft-lb/s) = 0.001842 hp (metric).

So, 1 foot-pound per second is approximately 0.001842 metric horsepower.

Real-World Examples

Here are some real-world examples for other quantities of foot-pounds per second and their conversions to horsepower (metric):

1. 10 ft-lb/s: $10 \, \text{ft-lb/s} \times \left(\frac{1 \, \text{hp(metric)}}{542.476 \, \text{ft-lb/s}}\right) = 0.01842 \, \text{hp(metric)}$

2. 100 ft-lb/s: $100 \, \text{ft-lb/s} \times \left(\frac{1 \, \text{hp(metric)}}{542.476 \, \text{ft-lb/s}}\right) = 0.1842 \, \text{hp(metric)}$

3. 500 ft-lb/s: $500 \, \text{ft-lb/s} \times \left(\frac{1 \, \text{hp(metric)}}{542.476 \, \text{ft-lb/s}}\right) = 0.921 \, \text{hp(metric)}$

4. 1000 ft-lb/s: $1000 \, \text{ft-lb/s} \times \left(\frac{1 \, \text{hp(metric)}}{542.476 \, \text{ft-lb/s}}\right) = 1.842 \, \text{hp(metric)}$

Real World Context

1. Home Appliances:

   • A typical household blender may have a motor rated around 500 watts, which converts to about 0.67 hp (metric). Using foot-pounds per second, it would be approximately 370 ft-lb/s (500 * 542.476 / 746).

2. Automobiles:

   • A car engine producing 300 hp (metric) would convert to roughly 162,740 ft-lb/s (300 * 542.476).

3. Small Engines:

   • Lawn mowers often have engines around 5 hp (metric), which converts to approximately 2,712 ft-lb/s.

These examples help illustrate how foot-pounds per second can be related to horsepower in practical settings and provide insight into the power levels of various common devices and engines.