In a car lift, compressed air with a gauge pressure of 4.0 × 10⁵ Pa is used to raise a piston with a circular cross-sectional area. If the radius of the piston is 0.17 m, what is the maximum mass that can be raised using this piston?

Question

Quizplus · Accepted Answer

The force exerted by the compressed air is equal to the pressure times the area of the piston. The area of the piston is πr², where r is the radius. The force can be calculated as F = P × A = 4.0 × 10⁵ Pa × π × (0.17 m)². The maximum mass m that can be raised is given by F = m × g, where g is the acceleration due to gravity (approximately 9.81 m/s²). Solving for m gives the maximum mass that can be raised.

In a Car Lift, Compressed Air with a Gauge Pressure