Question

How many joules per second and how many calories per hour are produced by a 100.0-horsepower engine?

Short answer

(1)The joules per second produced by a 100.0 - horsepower $7.457\times {10}^4\frac{\mathrm{J}}{\mathrm{s}}$

(2) The number of calories produced per hour by a 100.0-horsepower$6.416\times {10}^7\mathrm{cal}/\mathrm{h}$

Step-by-step solution

Definition of Horse power

• The phrase "horsepower" was coined.
• Watt tested a huge horse's ability to carry a load and discovered that it could pull 150 pounds while walking at 2.5 miles per hour.

Calculating the joules per second produced by 100 horse power

A horsepower is a common unit for expressing power, and its SI equivalent is measured in watts (W). 745.700W is the equal of 1 horsepower.

(1) Calculate the joules per second produced by a 100 .0 - horsepower engine using the following formula: Note that $1\mathrm{W}=1\frac{\mathrm{J}}{\mathrm{s}}$

role="math" localid="1663303266290" $100.0\mathrm{horsepower}=7.457\times {10}^4\mathrm{W}=7.457\times {10}^4\frac{\mathrm{J}}{\mathrm{s}}$

Calculating the calories produced per hour by a 100 horsepower

(2) Calculate the number of calories produced per hour by a 100.0-horsepower engine as illustrated below:

"Note that $1\mathrm{cal}=4.184\mathrm{J}$

$$\begin{gathered} 100.0\mathrm{horsepower}=\frac{7.457\times {10}^4\mathrm{J}/\mathrm{s}}{4.184\mathrm{J}}\times 3600\sec /\mathrm{h} \\ 100.0\mathrm{horsepower}=6.416\times {10}^7\mathrm{cal}/\mathrm{h} \end{gathered}$$