Question

when gasoline is burned in the cylinder of an engine, it creates a high pressure on the piston. if the pressure is 100 pounds-force per square inch [psi], and it moves the 3 inch diameter piston a distance of 5 centimeters in 0.1 seconds [s], how much horse power [hp] does this action produce?​

Answer 1

Answer : power = 2.09 hp

Explanation :

It is given that,

Pressure, P = 100 pounds-force per square inch

Radius,
`r=(3)/(2)\ inch=1.5\ inch`

Distance, d = 5 cm = 1.96 inch

We know that,

`power=(work)/(time)`

`\because Work=F.d`

And
`Force=Pressure* Area`

So,

`power=(P\ A\ d)/(t)`

`power=(100 \ pounds \ per \ square\ inch* 3.14* (1.5\ inch)^2* 1.96\ inch)/(0.1\ s)`

`p=13847.4\ pounds-inch/s`

`p=(13847.4)/(12)\ Pound-foot/s`

We know that,

`1\ horsepower=550\ foot \ pounds \ per \ second`

power = 2.09 hp

So, this action will produce power = 2.09 hp.