Posted by Sarah on Sunday, November 7, 2010 at 10:12pm.
A hydraulic lift has two connected pistons with cross-sectional areas 5 cm2 and 350 cm2. It is filled with oil of density 740 kg/m3.
a) What mass must be placed on the small piston to support a car of mass 1400 kg at equal fluid levels?
HELP: The pressure is constant at any height.
b) With the lift in balance with equal fluid levels, a person of mass 100 kg gets into the car. What is the equilibrium height difference in the fluid levels in the pistons?
HELP: Balance the pressure from the weight of the fluid and the pressure from the person's weight.
c) How much did the height of the car drop when the person got in the car?
HELP: The fluid is incompressible, so volume is conserved.
I just need help with c. I've tried
(3.5 m^2)(h1)=(.05 m^2)(3,86)
and that's not correct what am I doing wrong?
- physics - MathMate, Sunday, November 7, 2010 at 10:46pm
The car goes down, the piston goes up, so
For the conservation of volume
350 cm²*h1 = 5 cm² * h2
Solve for h1 & h2 to get
h1=0.0544 and h2=3.8056
The answer is similar to yours. I don't know if it is the number of significant figures or the sign that made your answer invalid.
Post if there are problems.
Answer This Question
More Related Questions
- physics - A hydraulic lift has two connected pistons with cross-sectional areas ...
- Physics - A hydraulic lift has two connected pistons with cross-sectional areas ...
- Hydraulic Physics - In a hydraulic system a 20.0-N force is applied to the small...
- physics - The small piston of a hydraulic lift has a cross-sectional area of 3.6...
- Fluid Mechanics - In a hydraulic system a 20.0-N force is applied to the small ...
- Physics - A hydraulic lift in a garage has two pistons: a small one of cross-...
- Physics - A 104 N car is lifted by a manually operated hydraulic lift. The area ...
- Physics - In a machine shop, a hydraulic lift is used to raise heavy equipment ...
- physics - An automobile having a mass of 1750 kg is placed on a hydraulic lift ...
- physics - (a) Find the force P that must be applied to a piston of area 10.60 ...