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In a hydraulic system, a force of 400 N is exerted on a piston with an area of 0.001 m2. The load-bearing piston in the system has an area of 0.2 m^2. Required:
a. Calculate in kPa the pressure in the hydraulic fluid induced by the applied pressure.
b. What is the magnitude of the force exerted on the load bearing piston by the hydraulic fluid?

Answers

Answer 1

Answer:

Explanation:

Pressure on the hydraulic system is expressed as;

Pressure = Force/Area

Given

Force on the fluid = 400N

Area = 0.001m²

Pressure in the fluid = 400/0.001

Pressure in the fluid = 400,000N/m²

1N/m² = 0.001kPa

400,000N/m² = x

x = 400,000 × 0.001

x = 400kPa

Hence the pressure in kPa is 400kPa

b) Using the formula;

Pa = Pb

Fa/Aa = Fb/Ab

Pa = Fb/Ab

Fb = PaAb

Fb = 400,000(0.2)

Fb = 80,000N

Hence the magnitude of the force exerted on the load bearing piston by the hydraulic fluid is 80,000N

Answer 2

Answer:

Final answer:

In a hydraulic system, a force exerted creates a pressure that is transmitted equally throughout. The induced pressure in the hydraulic system is 400 kPa. By applying the same pressure across the larger piston (0.2 m2), a force of 80,000 N is generated on the load-bearing piston.

Explanation:

The subject of this question is the physics topic of hydraulic systems, specifically how forces and pressure interactions. Use Pascal's principle which states that a change in pressure at any point in an enclosed fluid under equilibrium will be transmitted equally to all parts of the fluid.

a. To find the pressure in kPa induced by the applied pressure, use the formula P=F/A, where P is pressure, F is force and A is area. With the force F = 400 N and area A = 0.001 m2, the induced pressure is P = 400 N / 0.001 m2 = 400,000 Pa or 400 kPa.

b. The force exerted on the load-bearing piston by the hydraulic fluid is calculated by rearranging the formula to F=PxA. So, F = 400kPa x 0.2m2 = 80,000 N. Therefore, the force exerted on the load-bearing piston by the hydraulic fluid is 80,000N.

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Answers

Answer:

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Answers

Answer:

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Explanation:

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Answers

Answer:

The correct option is D

Explanation:

From the question we are told that

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Answers

Answer:

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Explanation:

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Answers

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