contestada

A bicycle tire pump has a piston with area 0.43 In2. If a person exerts a force of 16 lb on the piston while Inflating a tire, what pressure does this produce on the air in the pump?

Respuesta :

Answer:

The pressure produced on the air in the pump is 37.209 pounds per square inch.

Explanation:

By definition, the pressure is the force exerted on the piston divided by its area. Given that, force is distributed uniformly on the piston area, the formula to determine the pressure is:

[tex]p = \frac{F}{A}[/tex]

Where:

[tex]p[/tex] - Pressure, measured in pounds per square inch.

[tex]F[/tex] - Force exerted on the piston, measured in pounds.

[tex]A[/tex] - Piston area, measured in square inches.

If [tex]F = 16\,lb[/tex] and [tex]A = 0.43\,in^{2}[/tex], the pressure produced on the air in the pump is:

[tex]p = \frac{16\,lb}{0.43\,in^{2}}[/tex]

[tex]p = 37.209\,psi[/tex]

The pressure produced on the air in the pump is 37.209 pounds per square inch.