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Chapter 10: Q21P (page 260)

(II) A hydraulic press for compacting powdered samples has a large cylinder that is 10.0cm in diameter, and a small cylinder with a diameter of 2.0 cm (Fig. 10鈥�51). A lever is attached to the small cylinder as shown. The sample, which is placed on the large cylinder, has an area of 4.0 cm2. What is the pressure on the sample if 320N is applied to the lever?

Short Answer

Expert verified

The pressure on the sample is 40脳 106 Pa.

Step by step solution

01

Understanding the Pascal’s Law

In this problem, the pressure at each point on a confined fluid is the same everywhere (Pascal鈥檚 Law).

02

Given the data   

The diameter of the large cylinder D=10.0cm.

The force applied on the lever is F =320N.

The diameter of the small cylinder is d=2.0cm.

The area of the sample fluid is A =4.0 cm2.

The length of the lever about point O is 2l.

03

Calculation of Force

The magnitude of the force on the small cylinder is Fs.

For static equilibrium, the total torque about point O is zero. So write

On plugging the values in the above relation.


04

Calculation of pressure

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