Mechanical Engineering Exam > Mechanical Engineering Questions > A hydraulic device is used to raise an 89 kN ...
Start Learning for Free
A hydraulic device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required?
Most Upvoted Answer
A hydraulic device is used to raise an 89 kN truck. If oil of specific...
Hydraulic Device to Raise a Truck
To determine the required diameter for the hydraulic device to raise a truck, we need to consider the given information about the truck's weight, the oil's specific gravity, and the pressure acting on the piston.
Given Data:
- Weight of the truck (W) = 89 kN
- Specific gravity of the oil (SG) = 0.810
- Pressure acting on the piston (P) = 1.22 MPa
Calculations:
Step 1: Calculate the Force Exerted by the Oil:
The force exerted by the oil can be calculated using the formula:
Force (F) = Pressure (P) × Area (A)
To find the force, we need to determine the area of the piston. The area can be calculated using the formula:
Area (A) = Force (F) / Pressure (P)
Substituting the given values:
F = 89 kN = 89,000 N
P = 1.22 MPa = 1.22 × 10^6 Pa
A = (89,000 N) / (1.22 × 10^6 Pa)
A = 0.07295 m^2
Step 2: Determine the Diameter of the Piston:
The area of a circle can be calculated using the formula:
Area (A) = π × (Diameter/2)^2
Rearranging the formula to solve for the diameter:
Diameter = √(4 × Area (A) / π)
Substituting the calculated value of the area:
Diameter = √(4 × 0.07295 m^2 / π)
Diameter ≈ 0.307 m
Therefore, the required diameter for the hydraulic device to raise the truck is approximately 0.307 meters.
Explanation:
- The hydraulic device works on the principle of Pascal's law, which states that the pressure applied to an enclosed fluid is transmitted uniformly in all directions.
- The force exerted by the oil is equal to the pressure acting on the piston multiplied by the area of the piston.
- By rearranging the formula for the area of a circle, we can calculate the diameter of the piston using the given force and pressure.
- In this case, the force exerted by the oil is determined based on the weight of the truck and the specific gravity of the oil.
- By substituting the values into the formulas and performing the calculations, we find that the required diameter for the hydraulic device is approximately 0.307 meters.
To determine the required diameter for the hydraulic device to raise a truck, we need to consider the given information about the truck's weight, the oil's specific gravity, and the pressure acting on the piston.
Given Data:
- Weight of the truck (W) = 89 kN
- Specific gravity of the oil (SG) = 0.810
- Pressure acting on the piston (P) = 1.22 MPa
Calculations:
Step 1: Calculate the Force Exerted by the Oil:
The force exerted by the oil can be calculated using the formula:
Force (F) = Pressure (P) × Area (A)
To find the force, we need to determine the area of the piston. The area can be calculated using the formula:
Area (A) = Force (F) / Pressure (P)
Substituting the given values:
F = 89 kN = 89,000 N
P = 1.22 MPa = 1.22 × 10^6 Pa
A = (89,000 N) / (1.22 × 10^6 Pa)
A = 0.07295 m^2
Step 2: Determine the Diameter of the Piston:
The area of a circle can be calculated using the formula:
Area (A) = π × (Diameter/2)^2
Rearranging the formula to solve for the diameter:
Diameter = √(4 × Area (A) / π)
Substituting the calculated value of the area:
Diameter = √(4 × 0.07295 m^2 / π)
Diameter ≈ 0.307 m
Therefore, the required diameter for the hydraulic device to raise the truck is approximately 0.307 meters.
Explanation:
- The hydraulic device works on the principle of Pascal's law, which states that the pressure applied to an enclosed fluid is transmitted uniformly in all directions.
- The force exerted by the oil is equal to the pressure acting on the piston multiplied by the area of the piston.
- By rearranging the formula for the area of a circle, we can calculate the diameter of the piston using the given force and pressure.
- In this case, the force exerted by the oil is determined based on the weight of the truck and the specific gravity of the oil.
- By substituting the values into the formulas and performing the calculations, we find that the required diameter for the hydraulic device is approximately 0.307 meters.
Community Answer
A hydraulic device is used to raise an 89 kN truck. If oil of specific...
305
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
A hydraulic device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required?
Question Description
A hydraulic device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required? 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 device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hydraulic device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required?.
A hydraulic device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required? 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 device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hydraulic device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required?.
Solutions for A hydraulic device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A hydraulic device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required? defined & explained in the simplest way possible. Besides giving the explanation of
A hydraulic device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required?, a detailed solution for A hydraulic device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required? has been provided alongside types of A hydraulic device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required? theory, EduRev gives you an
ample number of questions to practice A hydraulic device is used to raise an 89 kN truck. If oil of specific gravity 0.810 acts on the piston under a pressure of 1.22 MPa, What diameter is required? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup