Questions: Exam number: 700698RR
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Question 7 of 20 :
Select the best answer for the question.
7. How does a hydraulic press with two pistons manipulate forces and pressures?
A. The pressure on the small piston is greater than the pressure on the large piston, and the forces are the same.
B. The pressure on the large piston is greater than the pressure on the small piston, and the forces are the same.
C. The force on the large piston is greater than the force on the small piston, and the pressures are the same.
D. The force on the small piston is greater than the force on the large piston, and the pressures are the same.
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Transcript text: Exam number: 700698RR
Exam Guidelines
Exam Instructions
Question 7 of 20 :
Select the best answer for the question.
7. How does a hydraulic press with two pistons manipulate forces and pressures?
A. The pressure on the small piston is greater than the pressure on the large piston, and the forces are the same.
B. The pressure on the large piston is greater than the pressure on the small piston, and the forces are the same.
C. The force on the large piston is greater than the force on the small piston, and the pressures are the same.
D. The force on the small piston is greater than the force on the large piston, and the pressures are the same.
Mark for review (Will be highlighted on the review page)
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Solution
Solution Steps
Step 1: Understanding the Hydraulic Press Mechanism
A hydraulic press operates based on Pascal's principle, which states that pressure applied to a confined fluid is transmitted undiminished throughout the fluid. This means that the pressure in a hydraulic system is the same at all points.
Step 2: Analyzing the Relationship Between Force and Pressure
In a hydraulic press, the force exerted by a piston is given by \( F = P \times A \), where \( F \) is the force, \( P \) is the pressure, and \( A \) is the area of the piston. Since the pressure is the same throughout the system, the force exerted by each piston depends on its area.
Step 3: Comparing Forces and Pressures on Different Pistons
Given that the pressure is the same on both pistons, the force on each piston will be proportional to its area. Therefore, the larger piston will exert a greater force than the smaller piston because it has a larger area.
Final Answer
\(\boxed{\text{C. The force on the large piston is greater than the force on the small piston, and the pressures are the same.}}\)