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A hydraulic lift has two pistons with area 1 m2 and 0.25 m2. What is the force exerted by the smaller piston when 40 N is placed on the larger piston?
- a)160 N
- b)10 N
- c)40 N
- d)Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A hydraulic lift has two pistons with area 1 m2and 0.25 m2.What is the...
CONCEPT:
- Pascals Law: In a fluid at rest in a closed container, the external static pressure applied on a confined liquid is transmitted without loss to every portion of the fluid and to the walls of the container.
- In Pascal's law, the effect of gravity is neglected.
CALCULATION:
Given that A1 = 0.25 m2 and A2 = 1 m2; F2 = 40N F1 = ?
From Pascal's Law, the pressure inside the liquid will be equal at every place. So the pressure at A and B will be equal.
PA = PB
So the correct answer is option 2.
Most Upvoted Answer
A hydraulic lift has two pistons with area 1 m2and 0.25 m2.What is the...
Understanding the Hydraulic Lift Principle
A hydraulic lift operates based on Pascal's principle, which states that when pressure is applied to a confined fluid, the pressure change is transmitted undiminished throughout the fluid.
Given Data
- Area of the larger piston (A1) = 1 m²
- Area of the smaller piston (A2) = 0.25 m²
- Force on the larger piston (F1) = 40 N
Calculating Pressure
1. Calculate Pressure on Larger Piston
Pressure (P) is defined as force per unit area:
P1 = F1 / A1
P1 = 40 N / 1 m² = 40 N/m²
2. Pressure in the Hydraulic System
According to Pascal's principle, the pressure is the same in both pistons:
P1 = P2
Calculating Force on Smaller Piston
1. Using the Pressure of the Smaller Piston
Since P1 = P2, we can express the force on the smaller piston (F2):
P2 = F2 / A2
Therefore, F2 = P2 * A2
2. Substituting Known Values
F2 = P1 * A2
F2 = 40 N/m² * 0.25 m²
F2 = 10 N
Conclusion
The force exerted by the smaller piston when 40 N is placed on the larger piston is 10 N. Thus, the correct answer is option 'B'.
A hydraulic lift operates based on Pascal's principle, which states that when pressure is applied to a confined fluid, the pressure change is transmitted undiminished throughout the fluid.
Given Data
- Area of the larger piston (A1) = 1 m²
- Area of the smaller piston (A2) = 0.25 m²
- Force on the larger piston (F1) = 40 N
Calculating Pressure
1. Calculate Pressure on Larger Piston
Pressure (P) is defined as force per unit area:
P1 = F1 / A1
P1 = 40 N / 1 m² = 40 N/m²
2. Pressure in the Hydraulic System
According to Pascal's principle, the pressure is the same in both pistons:
P1 = P2
Calculating Force on Smaller Piston
1. Using the Pressure of the Smaller Piston
Since P1 = P2, we can express the force on the smaller piston (F2):
P2 = F2 / A2
Therefore, F2 = P2 * A2
2. Substituting Known Values
F2 = P1 * A2
F2 = 40 N/m² * 0.25 m²
F2 = 10 N
Conclusion
The force exerted by the smaller piston when 40 N is placed on the larger piston is 10 N. Thus, the correct answer is option 'B'.
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A hydraulic lift has two pistons with area 1 m2and 0.25 m2.What is the force exerted by the smaller piston when 40 N is placed on the larger piston?a)160 Nb)10 Nc)40 Nd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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