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A hydraulic press has one piston of diameter 2.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the smaller piston to obtain a force of 1600 N at the larger piston?
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A hydraulic press has one piston of diameter 2.0 cm and the other pist...
Hydraulic Press Calculation
Introduction
A hydraulic press is a machine that uses hydraulic pressure to increase force. It works on the principle of Pascal's Law, which states that when pressure is applied to a confined fluid, the pressure is transmitted equally in all directions.
Given Information
Diameter of smaller piston (d1) = 2.0 cm
Diameter of larger piston (d2) = 8.0 cm
Force at larger piston (F2) = 1600 N
Calculation
Area of smaller piston (A1) = π(d1/2)2 = π(1 cm)2 = 3.14 cm2
Area of larger piston (A2) = π(d2/2)2 = π(4 cm)2 = 50.27 cm2
According to Pascal's Law:
Pressure at smaller piston (P1) = Pressure at larger piston (P2)
Force at smaller piston (F1) = Pressure x Area of smaller piston (A1)
Force at larger piston (F2) = Pressure x Area of larger piston (A2)
Substituting the values:
F2 = P x A2
1600 N = P x 50.27 cm2
P = 31.8 N/cm2
F1 = P x A1
F1 = 31.8 N/cm2 x 3.14 cm2
F1 = 100 N
Conclusion
Therefore, to obtain a force of 1600 N at the larger piston, a force of 100 N must be applied to the smaller piston.
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A hydraulic press has one piston of diameter 2.0 cm and the other pist...
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A hydraulic press has one piston of diameter 2.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the smaller piston to obtain a force of 1600 N at the larger piston?
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A hydraulic press has one piston of diameter 2.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the smaller piston to obtain a force of 1600 N at the larger piston? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A hydraulic press has one piston of diameter 2.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the smaller piston to obtain a force of 1600 N at the larger piston? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hydraulic press has one piston of diameter 2.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the smaller piston to obtain a force of 1600 N at the larger piston?.
A hydraulic press has one piston of diameter 2.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the smaller piston to obtain a force of 1600 N at the larger piston? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A hydraulic press has one piston of diameter 2.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the smaller piston to obtain a force of 1600 N at the larger piston? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hydraulic press has one piston of diameter 2.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the smaller piston to obtain a force of 1600 N at the larger piston?.
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