Question

One horse power is equal to:

• A. 100 meter-kilogram per second
• B. 76 meter-kilogram per hour
• C. 76 meter-kilogram per second
• D. 100 kilowatt per second

Hint:

Remember the key power conversions: - 1 Metric HP \(\approx\) 75 kgf-m/s \(\approx\) 735.5 W - 1 Imperial HP \(\approx\) 550 ft-lbf/s \(\approx\) 746 W The value of 76 kgf-m/s is a common approximation used in practice.

Answer 1

The Correct Option is C

Step 1: Define horsepower (HP). Horsepower is a unit of power, which is the rate at which work is done. There are different definitions, but the metric horsepower is most relevant here.
Step 2: State the value of metric horsepower. One metric horsepower is defined as the power required to lift a mass of 75 kilograms against the force of gravity by a distance of one meter in one second. \[ 1 \text{ metric HP} = 75 \text{ kgf} \cdot \text{m/s} \] This is approximately equal to 735.5 Watts.
Step 3: Compare with the given options. The options use "meter-kilogram per second," which is equivalent to kgf-m/s. The value of 76 meter-kilogram per second is a commonly used and accepted approximation for metric horsepower in many engineering contexts, closely related to the imperial horsepower definition (which is approx 76.04 kgf-m/s). Among the given choices, 76 m-kg/s is the standard answer.