In a car lift compressed air exerts a force F1 on a small piston hav

1.	In a car lift compressed air exerts a force F1 on a small piston having a radius of 5 cm. The pressure is transmitted to a second piston of radius 15 cm. If the mass of the car to be lifted is 1350 kg, what is F1,? What is the pressure necessary to accomplish this task?
Answer» Since Pressure is transmitted undiminished throughout the fluid, F₁ = A₁/A₂ F₂ = {π(8 x 5)}/{π(5 x 15)} x (1530 x 9.81) = 1.5 x 10³ N The air pressure that will produce this force is p = F₁/A₁ = {1.5 x 10³}/{π(5 x 10^-2)²} = 1.9 x 10³ Pa

In a car lift compressed air exerts a force F1 on a small piston having a radius of 5 cm. The pressure is transmitted to a second piston of radius 15 cm. If the mass of the car to be lifted is 1350 kg, what is F1,? What is the pressure necessary to accomplish this task?

Answer»

Since Pressure is transmitted undiminished throughout the fluid,

F₁ = A₁/A₂ F₂ = {π(8 x 5)}/{π(5 x 15)} x (1530 x 9.81) = 1.5 x 10³ N

The air pressure that will produce this force is

p = F₁/A₁ = {1.5 x 10³}/{π(5 x 10^-2)²} = 1.9 x 10³ Pa