Question

One horse-power = ____ watt.

Answer 1

The formula of power:

The power of a machine is defined as the rate of doing work.

$P=\frac{W}{t}$

Where, $W$ is total work done and $t$ is time in seconds.

$1Watt=1J{s}^{-1}$

Step 1: Calculating the value of horsepower:

We have,

$1HP=550$ foot -pound per second

$1$Pound $=4.44822m$

$1$Foot $=0.3408m$

Step-3:

Then, multiplying the values

$$\begin{gathered} 1HP=550\times 4.44822\times 0.3048 \\ 1HP=745.69\frac{Nm}{s} \end{gathered}$$

We know that, $1Watt=1Nm{s}^{-1}$

Therefore, $1HP=745.69watt\approx 746watt$

Hence, $1HP=746watt$