Question

A hand-driven tire pump has a piston with a 2.50-cm diameter and a maximum stroke of 30.0 cm.

(a) How much work do you do in one stroke if the average gauge pressure is 2.4×10⁵ N/m² (about 35 psi)?
(i) 7.2 J
(ii) 14.4 J
(iii) 21.6 J
(iv) 28.8 J

Answer 1

To calculate the work done in one stroke of the hand-driven tire pump, you can use the formula: Work = Force x Distance. The force exerted on the piston can be calculated using the average gauge pressure and the area of the piston.

Step-by-step explanation:

To calculate the work done in one stroke of the hand-driven tire pump, you can use the formula: Work = Force x Distance. The force exerted on the piston can be calculated using the average gauge pressure and the area of the piston.

To calculate the work done in one stroke of the hand-driven tire pump, we can use the formula:

Work = Force x Distance

The force exerted on the piston can be calculated using the average gauge pressure and the area of the piston:

Force = Pressure x Area

Plugging in the values, we have:

Force = (2.4 x 10^5 N/m²) x (π x (2.50/2)^2)

Once we have the force, we can multiply it by the distance the piston travels to find the work done.