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Question

One horse power is equals to ________.

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is

746 Watts

Understanding Horsepower and Watts

The question asks about the equivalent value of one horsepower in Watts. Horsepower (hp) is a non-SI unit of power, often used historically and still in some contexts today, particularly in relation to engines and motors. Watts (W) are the standard international (SI) unit for power.

Power is the rate at which work is done or energy is transferred. The conversion between horsepower and Watts is a fundamental concept in physics and engineering when dealing with different unit systems.

Horsepower to Watts Conversion

There are actually several slightly different definitions of horsepower, but the most commonly used definition for mechanical horsepower (which is what is usually implied in general questions unless otherwise specified) has a standard conversion to Watts.

The standard conversion is:

  • One mechanical horsepower is equivalent to 745.7 Watts.

Often, this value is rounded to the nearest whole number for simplicity in common usage and questions.

Analyzing the Options

Let's look at the given options:

  • 786 Watts
  • 746 Watts
  • 764 Watts
  • 735 Watts

Comparing the standard conversion value (745.7 Watts) to the options, the closest and commonly used rounded value is 746 Watts.

Conclusion on Horsepower Equivalent

Based on the standard definition and common rounding, one horsepower is equal to approximately 746 Watts.

Therefore, the option that correctly states the value of one horsepower in Watts among the choices provided is 746 Watts.

Revision Table: Power Units

Unit Type Equivalent in Watts Usage Context
Watt (W) SI Unit 1 W General power measurement, electrical power
Kilowatt (kW) SI Unit 1000 W Larger power measurements (e.g., appliances, engines)
Mechanical Horsepower (hp) Non-SI Unit approx. 746 W (specifically 745.7 W) Engines, motors, pumps
Metric Horsepower (PS) Non-SI Unit approx. 735.5 W Commonly used in Europe for vehicles

Additional Information on Power and Conversion

Power is a scalar quantity. It is defined as the rate of doing work or the rate of transferring energy. The formula for power is:

\(P = \frac{W}{t}\)

Where:

  • \(P\) is Power
  • \(W\) is Work done
  • \(t\) is time taken

Alternatively, for motion with constant force:

\(P = F \cdot v\)

Where:

  • \(F\) is Force
  • \(v\) is velocity

Understanding unit conversions like horsepower to Watts is crucial in physics and engineering to compare power outputs measured in different systems and to perform calculations consistently using SI units.

While 746 Watts is the standard mechanical horsepower conversion, it's worth noting the existence of other horsepower definitions, such as metric horsepower (PS), which is approximately 735.5 Watts. However, in the context of standard questions like this one without further specification, mechanical horsepower is usually assumed.

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