Home > categories > Automotive & Motorcycle > Car Lifts > in a car lift, compressed air exerts a force on a piston with a radius of 5.00cm. this pressure is transmitted
Question:

in a car lift, compressed air exerts a force on a piston with a radius of 5.00cm. this pressure is transmitted

to a second piston with a radius of 15.0cm. a) how large a force must the compressed air exert to a lift a 1.33x10^4N car? b)what pressure produces this force? neglect the weight of the pistons.

Answer:

The compressed air must exert a force greater than 1.477x10^3N because the ratio of piston surface areas is 9:1 (15/2)^2 / (5/2)^2 9 Pressure must be in excess of 236.44N/cm^2 or 23.644 bar. The 236.44 comes from 13300N / (15/2)^2 cm which is of course also 1477.77N / (5/2)^2 cm (equal pressure for the two pistons, different forces proportional to the piston areas)

Share to: