The two pistons in the hydraulic system shown in(Figure 1) are coupled through a
ID: 1426037 • Letter: T
Question
The two pistons in the hydraulic system shown in(Figure 1) are coupled through a reservoir of water. The pistons are at the same height above ground. The piston on the right has a radius of 1.6 m, and the mass of the car sitting on the piston is 1000 kg. You are standing on the left piston, and neither you nor the car is moving.
Part A
If your mass is m = 51 kg , what is the radius of the left piston?
Express your answer with the appropriate units.
7.0811m
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Figure 1 of 1
The two pistons in the hydraulic system shown in(Figure 1) are coupled through a reservoir of water. The pistons are at the same height above ground. The piston on the right has a radius of 1.6 m, and the mass of the car sitting on the piston is 1000 kg. You are standing on the left piston, and neither you nor the car is moving.
Part A
If your mass is m = 51 kg , what is the radius of the left piston?
Express your answer with the appropriate units.
R1 =7.0811m
SubmitMy AnswersGive Up
Incorrect; Try Again; 2 attempts remaining
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Figure 1 of 1
Explanation / Answer
use Pascal's law
pressure at left piston = pressure at right piston
P_left = P_right
m*g/A1 = M*g/A2
51/(pi*R^2) = 1000/(pi*1.6^2)
51/R^2 = 1000/1.6^2
==> R = 1.6*sqrt(51/1000)
= 0.361 m
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