- #1
Z3nt4r0
Homework Statement
Homework Equations
Force exerted by liquids
F=h.d.g.A
Equilibrium of pistons with different radii (Hydraulics)
- Thread starter Z3nt4r0
- Start date
-
- Tags
- Equilibrium Hydraulics
Click For Summary
Homework Help Overview
The discussion revolves around the equilibrium of pistons with different radii in a hydraulic system. Participants are exploring the relationship between the areas of the pistons based on their radii and the implications for force exerted by liquids.
Discussion Character
- Conceptual clarification, Mathematical reasoning, Assumption checking
Approaches and Questions Raised
- Participants are attempting to determine how the area of piston B compares to piston A when the radius of piston B is four times that of piston A. There are questions about the calculations involved in finding the areas of circles and the implications of these areas on the forces exerted.
Discussion Status
There is an ongoing exploration of the correct relationship between the areas of the pistons, with some participants questioning their understanding of the area calculation. Guidance has been offered regarding the need to review how to calculate the area of a circle, and there is recognition of the cylindrical nature of the pistons.
Contextual Notes
Participants are discussing the variables in the equation for force exerted by liquids, specifically questioning the meanings of height, density, and gravity. There is also a consideration of whether the pressure in the system is hydrostatic, indicating a potential assumption that may need further examination.
Force exerted by liquids
F=h.d.g.A
- #2
phyzguy
Science Advisor
- 5,311
- 2,398
If the radius of piston B is 4 times the radius of piston A, how much larger is the area of piston B than piston A?
- #3
Z3nt4r0
4 times?phyzguy said:
- #4
phyzguy
Science Advisor
- 5,311
- 2,398
Z3nt4r0 said:
No.
- #5
Z3nt4r0
16?phyzguy said:
- #6
phyzguy
Science Advisor
- 5,311
- 2,398
Z3nt4r0 said:
Yes, but can you explain why?
- #7
Z3nt4r0
I am not quite sure so I guess not. Can you explain me how to solve the problem?phyzguy said:
- #8
phyzguy
Science Advisor
- 5,311
- 2,398
Your approach was right, you just got the areas wrong. You should go back and review how to calculate the area of a circle.
- #9
Z3nt4r0
I just realized that pistons were cylindrical lolphyzguy said:
So while piston A has an area of Pi number x r^2 piston B has an area of Pi number x 4r^2
If, for example, radius of piston a is 1, piston b's radius will be 4, making piston b's area 16 times bigger than piston a's.
So the answer to the question is 16. Am I right now?
- #10
- 23,729
- 5,936
What are h, d, and g in your equation?
- #11
Z3nt4r0
Height, density, and gravity.Chestermiller said:
- #12
- 23,729
- 5,936
Do you really think that the pressure within the closed horizontal system shown in the figure is hydrostatic?
Similar threads
- · Replies 7 ·
- · Replies 2 ·
- · Replies 1 ·
- · Replies 5 ·
- · Replies 5 ·
- · Replies 27 ·
- · Replies 14 ·
- · Replies 9 ·
- · Replies 3 ·