A dentist’s chair makes use of Pascal’s principle to move patients up and down. Together, the chair and a patient exert a downward force of 2269 N. The chair is attached to a large piston with an area of 1221 cm2. To move the chair, a pump applies force to a small piston with an area of 88.12 cm2. What force must be exerted on the small piston to lift the chair
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Answer:
163.8
Explanation:
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Answer: 163.75N
Explanation:
Area of the large piston=1221cm²=0.1221m²
Area of the small piston= 88.12cm²=0.008812m²
Force on the large piston=2269N
Therefore pressure on large piston=
Force/area=2269/0.1221
= 18583.12N/m²
According to Pascal's law
Pressure on the large piston= pressure on the small piston.
Therefore,
Pressure×area= force
18583.12×0.008812
=163.75N
This force must be exerted on the smaller piston to lift the chair.
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