Question

A dentist's chair with a person in it weighs 1675 N. The output plunger of a hydraulic system starts to lift the chair when the dental assistant's foot exerts a force of 39 N on the input piston. Neglecting any difference in the heights of the piston and the plunger, what is the ratio of the area of the plunger to the area of the piston

Answer 1

The ratio of the area of the plunger to the area of the piston will be 0.2323.

What is pressure?

The force applied perpendicular to the surface of an item per unit area across which that force is spread is known as pressure.

It is denoted by P. The pressure relative to the ambient pressure is known as gauge pressure.

The presure at the output remains the same

$\rm P_0=P_I \\\\\ \frac{F_0}{A_o} =\frac{F_I}{A_I} \\\\ \frac{A_0}{A_I} = \frac{F_0}{F_I} \\\\ \frac{A_0}{A_I} =\frac{39}{1675} \\\\ \frac{A_0}{A_I} =0.2323$

Hence, the ratio of the area of the plunger to the area of the piston will be 0.2323.

To learn more about the pressure refer to the link;

brainly.com/question/356585

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