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A hydraulic press has a ram of 15 cm diameter and plunger of 1.5 cm. it is required to lift a mass of 1000 kg. The force required on plunger is nearly equal to
- a)100 N
- b)1000 N
- c)10,000 N
- d)10 N
Correct answer is option 'A'. Can you explain this answer?
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A hydraulic press has a ram of 15 cm diameter and plunger of 1.5 cm. i...
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Given data:
- Diameter of the ram (D) = 15 cm
- Diameter of the plunger (d) = 1.5 cm
- Mass to be lifted (m) = 1000 kg
Formula:
The force exerted by a hydraulic press is given by the equation:
F = P × A
Where:
- F is the force exerted on the plunger
- P is the pressure applied
- A is the area of the plunger
Calculating the area of the plunger:
The area of the plunger can be calculated using the formula for the area of a circle:
A = π × (d/2)^2
Substituting the given values:
- A = π × (1.5/2)^2
- A = π × (0.75)^2
- A ≈ 1.767 cm^2
Calculating the pressure:
The pressure can be calculated by dividing the force required to lift the mass by the area of the plunger:
P = F/A
Substituting the given values:
- P = (m × g)/A
- P = (1000 kg × 9.8 m/s^2)/1.767 cm^2
- P ≈ 55,953.5 N/m^2
Calculating the force:
Finally, the force exerted on the plunger can be calculated by multiplying the pressure by the area of the plunger:
F = P × A
Substituting the calculated values:
- F = 55,953.5 N/m^2 × 1.767 cm^2
- F ≈ 98.82 N
Rounding it to the nearest whole number, the force required on the plunger is approximately 100 N.
Therefore, the correct answer is option A: 100 N.
- Diameter of the ram (D) = 15 cm
- Diameter of the plunger (d) = 1.5 cm
- Mass to be lifted (m) = 1000 kg
Formula:
The force exerted by a hydraulic press is given by the equation:
F = P × A
Where:
- F is the force exerted on the plunger
- P is the pressure applied
- A is the area of the plunger
Calculating the area of the plunger:
The area of the plunger can be calculated using the formula for the area of a circle:
A = π × (d/2)^2
Substituting the given values:
- A = π × (1.5/2)^2
- A = π × (0.75)^2
- A ≈ 1.767 cm^2
Calculating the pressure:
The pressure can be calculated by dividing the force required to lift the mass by the area of the plunger:
P = F/A
Substituting the given values:
- P = (m × g)/A
- P = (1000 kg × 9.8 m/s^2)/1.767 cm^2
- P ≈ 55,953.5 N/m^2
Calculating the force:
Finally, the force exerted on the plunger can be calculated by multiplying the pressure by the area of the plunger:
F = P × A
Substituting the calculated values:
- F = 55,953.5 N/m^2 × 1.767 cm^2
- F ≈ 98.82 N
Rounding it to the nearest whole number, the force required on the plunger is approximately 100 N.
Therefore, the correct answer is option A: 100 N.
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A hydraulic press has a ram of 15 cm diameter and plunger of 1.5 cm. it is required to lift a mass of 1000 kg. The force required on plunger is nearly equal toa)100 Nb)1000 Nc)10,000 Nd)10 NCorrect answer is option 'A'. Can you explain this answer?
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A hydraulic press has a ram of 15 cm diameter and plunger of 1.5 cm. it is required to lift a mass of 1000 kg. The force required on plunger is nearly equal toa)100 Nb)1000 Nc)10,000 Nd)10 NCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A hydraulic press has a ram of 15 cm diameter and plunger of 1.5 cm. it is required to lift a mass of 1000 kg. The force required on plunger is nearly equal toa)100 Nb)1000 Nc)10,000 Nd)10 NCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hydraulic press has a ram of 15 cm diameter and plunger of 1.5 cm. it is required to lift a mass of 1000 kg. The force required on plunger is nearly equal toa)100 Nb)1000 Nc)10,000 Nd)10 NCorrect answer is option 'A'. Can you explain this answer?.
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