57.6k views
3 votes
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
by
8.5k points

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
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.