Question

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?

Answer 1

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

Step-by-step 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:

`p = (F)/(A)`

Where:

`p` - Pressure, measured in pounds per square inch.

`F` - Force exerted on the piston, measured in pounds.

`A` - Piston area, measured in square inches.

If
`F = 16\,lb` and
`A = 0.43\,in^(2)`, the pressure produced on the air in the pump is:

`p = (16\,lb)/(0.43\,in^(2))`

`p = 37.209\,psi`

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