Mechanical Engineering Exam > Mechanical Engineering Questions > A cylindrical riser is attached to the side ...
Start Learning for Free
A cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.
- a)5
- b)6
Correct answer is between ' 5, 6'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A cylindrical riser is attached to the side of a steel plate casting ...
For optimum cylindrical side riser,h = d
Volume of casting, Vc = 25 x 12.5 x 5
Shrinkage of steel during solidification = 3%
Minimum volume of the riser necessary is,
Most Upvoted Answer
A cylindrical riser is attached to the side of a steel plate casting ...
Given data:
Volume shrinkage of steel during solidification = 3%
Volume of riser = 3 times that dictated by the shrinkage consideration alone
Dimensions of steel plate casting = 25cm x 12.5cm x 5cm
Calculation:
Volume of steel plate casting = 25cm x 12.5cm x 5cm = 1562.5 cm³
Volume of steel after shrinkage = 0.97 x 1562.5 cm³ = 1514.875 cm³
Volume of riser dictated by shrinkage consideration alone = 3% x 1514.875 cm³ = 45.44625 cm³
Volume of actual riser = 3 x 45.44625 cm³ = 136.33875 cm³
Let the radius of the riser be r and height be h
Volume of the riser = πr²h
From the given data,
πr²h = 136.33875 cm³
Also, the riser should have enough volume to compensate for the shrinkage of the steel casting. So, the riser should be able to supply the same volume of molten steel as the volume of the solidified steel that shrinks.
Volume of solidified steel that shrinks = 1562.5 cm³ - 1514.875 cm³ = 47.625 cm³
Volume of molten steel that compensates for shrinkage = 47.625 cm³
Let the height of the riser be equal to its radius, i.e. h = r
Then,
πr²h = πr³ = 136.33875 cm³
r³ = 136.33875 cm³/π = 43.375 cm³
r = (43.375 cm³)^(1/3) = 3.47 cm
h = r = 3.47 cm
Therefore, the dimensions of the riser in optimum conditions are:
Radius = 3.47 cm
Height = 3.47 cm (approximately equal to 3 cm)
Volume shrinkage of steel during solidification = 3%
Volume of riser = 3 times that dictated by the shrinkage consideration alone
Dimensions of steel plate casting = 25cm x 12.5cm x 5cm
Calculation:
Volume of steel plate casting = 25cm x 12.5cm x 5cm = 1562.5 cm³
Volume of steel after shrinkage = 0.97 x 1562.5 cm³ = 1514.875 cm³
Volume of riser dictated by shrinkage consideration alone = 3% x 1514.875 cm³ = 45.44625 cm³
Volume of actual riser = 3 x 45.44625 cm³ = 136.33875 cm³
Let the radius of the riser be r and height be h
Volume of the riser = πr²h
From the given data,
πr²h = 136.33875 cm³
Also, the riser should have enough volume to compensate for the shrinkage of the steel casting. So, the riser should be able to supply the same volume of molten steel as the volume of the solidified steel that shrinks.
Volume of solidified steel that shrinks = 1562.5 cm³ - 1514.875 cm³ = 47.625 cm³
Volume of molten steel that compensates for shrinkage = 47.625 cm³
Let the height of the riser be equal to its radius, i.e. h = r
Then,
πr²h = πr³ = 136.33875 cm³
r³ = 136.33875 cm³/π = 43.375 cm³
r = (43.375 cm³)^(1/3) = 3.47 cm
h = r = 3.47 cm
Therefore, the dimensions of the riser in optimum conditions are:
Radius = 3.47 cm
Height = 3.47 cm (approximately equal to 3 cm)
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 cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.a) 5b) 6Correct answer is between ' 5, 6'. Can you explain this answer?
Question Description
A cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.a) 5b) 6Correct answer is between ' 5, 6'. 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 cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.a) 5b) 6Correct answer is between ' 5, 6'. 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 cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.a) 5b) 6Correct answer is between ' 5, 6'. Can you explain this answer?.
A cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.a) 5b) 6Correct answer is between ' 5, 6'. 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 cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.a) 5b) 6Correct answer is between ' 5, 6'. 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 cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.a) 5b) 6Correct answer is between ' 5, 6'. Can you explain this answer?.
Solutions for A cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.a) 5b) 6Correct answer is between ' 5, 6'. Can you explain this answer? 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 cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.a) 5b) 6Correct answer is between ' 5, 6'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.a) 5b) 6Correct answer is between ' 5, 6'. Can you explain this answer?, a detailed solution for A cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.a) 5b) 6Correct answer is between ' 5, 6'. Can you explain this answer? has been provided alongside types of A cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.a) 5b) 6Correct answer is between ' 5, 6'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A cylindrical riser is attached to the side of a steel plate casting having dimensions 25cm x 12.5cm x 5cm. The volume shrinkage of steel during solidification is 3% and the volume of riser is 3 times that of dictated by the shrinkage consideration alone. The dimension of the riser in optimum conditions is ____________.a) 5b) 6Correct answer is between ' 5, 6'. Can you explain this answer? 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