Question

One kilowatt is approximately equal to:
A. 1.34 hp
B. 1.56 hp
C. 2.50 hp
D. 1.83 hp

Answer 1

Hint: Define power. Obtain the units of power. Both kilowatt and hp are units of power with different values. Define the conversion from kilowatt to hp on the basis of their value.

Complete step-by-step answer:
Kilowatt is a unit of power. One kilowatt is equal to 1000 watts. It can be defined as the energy consumption of 1000 watts for 1 sec.
Horsepower (hp) is also a unit of power. One hp is equal to 746 watts. Horse power is used to define the power of electrical machines.
Now,\[\begin{array}{*{35}{l}}
   1\text{ }kilowatt\text{ }=\text{ }1000\text{ }watt \\
   1\text{ }hp\text{ }=\text{ }746\text{ }watt \\
\end{array}\]
Hence,
\[1\text{ }watt\text{ }=\text{ }\dfrac{1}{746}\text{ hp = 0}\text{.00134 hp}\]
So, putting this value,
\[\begin{align}
  & 1\text{ }kilowatt\text{ }=\text{ }1000\text{ }watt \\
 & 1\text{ }kilowatt\text{ }=\text{ }1000\text{ }\times \dfrac{1}{746}hp \\
 & 1\text{ }kilowatt\text{ }=\text{ 1}\text{.34 hp} \\
\end{align}\]
One kilowatt of power is approximately equal to 1.34 hp of power.
Additional information: Power can be defined as the work done or energy consumption per unit time.
S.I unit of power is watt.
Dimensional formula of power is $\left[ {{M}^{1}}{{L}^{2}}{{T}^{-3}} \right]$
Hp is another unit of power.
Watt is used as the unit of power in electrical components like bulbs.
Hp is used as a unit of power in machines like bikes, cars, industrial machines etc.

Note: Power can be defined as the work done or energy consumption per unit time.
S.I unit of power is watt.
Dimensional formula of power is $\left[ {{M}^{1}}{{L}^{2}}{{T}^{-3}} \right]$
Hp is another unit of power.
Watt is used as the unit of power in electrical components like bulbs.
Hp is used as a unit of power in machines like bikes, cars, industrial machines etc.
We use different units in different cases. Try to remember the conventional units used for each physical quantity.