A hydraulic press for compacting powdered samples has a large cylinder which is

Question

A hydraulic press for compacting powdered samples has a large cylinder which is

A hydraulic press for compacting powdered samples has a large cylinder which is 10.0 cm in diameter, and a small cylinder with a diameter of 2.0 A lever is attached to the small cylinder as shown in (Figure 1) . 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? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Force on small cylinder = F*2L/L = 640 N

Pressure = 640/(pi*0.02^2/4) = 2.04*10^6 Pa

Pressure in the larger cylinder is same as the smaller.

SO, force on the sample = 2.04*10^6 * pi*0.1^2 /4 = 16000N

Pressure on sample = 16000/(4*10^-4) = 4*10^7 Pa

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