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EmSAT Achieve Exam  >  EmSAT Achieve Questions  >  Find the force required at the plunger which ... Start Learning for Free
Find the force required at the plunger which has 3 cm diameter, and the diameter of the hydraulic press is 30 cm. It is used for lifting a weight of 30 kN.
  • a)
    200 N
  • b)
    150 N
  • c)
    100 N
  • d)
    300 N
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Find the force required at the plunger which has 3cm diameter, and the...
Concept:
Pascal’s Law:
  • It was given by Blaise pascal
  • It is also known as the principle of transmission of fluid pressure
  • It states that the pressure change at any point in a confined incompressible fluid is transmitted throughout the fluid such that the same change occurs everywhere.
  • Alternate definition:- The pressure applied to any part of the enclosed liquid will be transmitted equally in all directions through the liquid.
Applications:
  • The underlying principle of hydraulic jack and hydraulic press.
  • Force amplification in the braking system of most motor vehicles.
  • Used in artesian wells, water towers, and dams.
Calculation:
Given:
Diameter of plunger, d = 3 cm, Diameter of ram, D = 30 cm, Force required at the plunger = ?, Weight = 30 kN
According to pascals law,
Pressure applied at ram = Pressure exerted on the plunger
Here, F2 = force required on the plunger
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Most Upvoted Answer
Find the force required at the plunger which has 3cm diameter, and the...
Understanding Hydraulic Press Mechanics
A hydraulic press operates based on Pascal's principle, which states that pressure applied to a confined fluid is transmitted undiminished throughout the fluid. In this scenario, we calculate the force required at the plunger to lift a weight of 30 kN.
Key Parameters
- Weight to Lift: 30 kN (which equals 30,000 N)
- Diameter of Plunger: 3 cm (0.03 m)
- Diameter of Hydraulic Cylinder: 30 cm (0.30 m)
Calculating Areas
1. Area of the Plunger (A1):
- A1 = π * (D1/2)²
- A1 = π * (0.03/2)² = π * (0.015)² = 0.00070686 m²
2. Area of the Hydraulic Cylinder (A2):
- A2 = π * (D2/2)²
- A2 = π * (0.30/2)² = π * (0.15)² = 0.0706858 m²
Using Pascal's Principle
According to Pascal's principle:
- P1 = P2
- F1/A1 = F2/A2
Where:
- F1 = Force applied at the plunger
- F2 = Weight to lift (30,000 N)
We can rearrange the equation to find F1:
Force Calculation
F1 = F2 * (A1/A2)
- F1 = 30,000 N * (0.00070686 m² / 0.0706858 m²)
- F1 = 30,000 N * 0.009996 = 299.88 N
Thus, the force required at the plunger is approximately 300 N. This is why the correct answer is option 'D', which is 300 N.
Conclusion
The hydraulic press allows a small force applied on the plunger to lift a much larger weight through the proportional relationship between the areas of the two pistons.
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Find the force required at the plunger which has 3cm diameter, and the diameter of the hydraulic press is 30 cm. It is used for lifting a weight of 30 kN.a)200 Nb)150 Nc)100 Nd)300 NCorrect answer is option 'D'. Can you explain this answer?
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Find the force required at the plunger which has 3cm diameter, and the diameter of the hydraulic press is 30 cm. It is used for lifting a weight of 30 kN.a)200 Nb)150 Nc)100 Nd)300 NCorrect answer is option 'D'. Can you explain this answer? for EmSAT Achieve 2025 is part of EmSAT Achieve preparation. The Question and answers have been prepared according to the EmSAT Achieve exam syllabus. Information about Find the force required at the plunger which has 3cm diameter, and the diameter of the hydraulic press is 30 cm. It is used for lifting a weight of 30 kN.a)200 Nb)150 Nc)100 Nd)300 NCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for EmSAT Achieve 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the force required at the plunger which has 3cm diameter, and the diameter of the hydraulic press is 30 cm. It is used for lifting a weight of 30 kN.a)200 Nb)150 Nc)100 Nd)300 NCorrect answer is option 'D'. Can you explain this answer?.
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