Question

For the press in Fig. $13-3$, the ratio of the output cross-sectional area to the input cross-sectional area is $1000: 1.000$. If the load is $10000 \mathrm{~N}$, what input force will hold it in equilibrium?

Name: Problem 40, Chapter 13: Schaum’s Outline of College Physics
Uploaded: 2021-08-21T23:53:42-08:00
Duration: 1 min 49 s
Channel: Dominique Jan Tan
Description: For the press in Fig. 13-3, the ratio of the output cross-sectional area to the input cross-sectional area is 1000: 1.000. If the load is 10000 N, what input force will hold it in equilibrium?

   For the press in Fig. $13-3$, the ratio of the output cross-sectional area to the input cross-sectional area is $1000: 1.000$. If the load is $10000 \mathrm{~N}$, what input force will hold it in equilibrium?

Schaum’s Outline of College Physics

Eugene Hecht 12th Edition

Chapter 13, Problem 40

Instant Answer

Solved by Expert Dominique Jan Tan

08/21/2021

Step 1

Mathematically, this can be represented as: \[ \frac{F_1}{A_1} = \frac{F_2}{A_2} \] where $F_1$ and $F_2$ are the forces applied at points 1 and 2, and $A_1$ and $A_2$ are the cross-sectional areas at points 1 and 2 respectively. Show more…

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For the press in Fig. $13-3$, the ratio of the output cross-sectional area to the input cross-sectional area is $1000: 1.000$. If the load is $10000 \mathrm{~N}$, what input force will hold it in equilibrium?

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Key Concepts

Pascal's Principle

Pascal's Principle states that a change in pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of its container. This fundamental concept underlies the operation of hydraulic systems by ensuring that pressure is evenly distributed throughout the system.

Hydraulic Systems

Hydraulic systems use fluids to transmit forces through confined spaces. A hydraulic press, which is a common application, converts a small input force applied over a small area into a much larger output force over a larger area, using the properties of fluid pressure.

Mechanical Advantage in Hydraulics

Mechanical advantage in hydraulic systems arises from the difference in cross-sectional areas between the input and output pistons. The ratio of these areas determines the amplification of force, allowing a small force applied at the smaller piston to balance or overcome a larger force at the larger piston area.

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