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When gas is burned in a cylinder of an engine it creates a high pressure that pushes a piston. If the pressure is 100psi and it moves a 3 inch in diameter piston a distance of 5cm every .1 seconds. How much horsepower does this action produce?

User Aligray
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1 Answer

3 votes

Final answer:

To calculate the horsepower produced by the engine, you can use the formula Horsepower = (Force * Distance) / Time. Start by calculating the force exerted by the piston using the formula Force = Pressure * Area. Substituting the given values, you can then calculate the horsepowe. The final value will give us the25335.374 unit horsepower produced by this action.

Step-by-step explanation:

In order to calculate the horsepower produced by the engine, we need to use the formula:

Horsepower = (Force * Distance) / Time

First, we need to calculate the force exerted by the piston.

The area of the piston can be calculated using the formula:

Area = π * (radius)^2

Given that the diameter of the piston is 3 inches, the radius would be 1.5 inches or 1.27 cm.

Using the equation to calculate the force:

Force = Pressure * Area

Substituting the given values:

Force = 100 psi * (π * (1.27 cm)^2)

=506.707 unit

Now, we can calculate the horsepower:

Horsepower = (Force * Distance) / Time

Substituting the given values:

Horsepower = (Force * 5 cm) / 0.1 seconds

=(506.707*5)/0.1

=25335.374 unit

Calculating the final value will give us the25335.374 unit horsepower produced by this action.

User John McCabe
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8.3k points