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A cylindrical job with diameter of 200 mm and height of 100 mm is to be cast using modulus method of riser design. Assume that the bottom surface of cylindrical riser does not contribute as cooling surface. If the diameter of the riser is equal to its height, then the height of the riser (in mm) is
[ME 2016,Sat-1]
- a)150
- b)200
- c)100
- d)125
Correct answer is option 'A'. Can you explain this answer?
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A cylindrical job with diameter of 200 mm and height of 100 mm is to b...
According to modulus method
If diameter of riser = height of riser for top riser D = H
⇒ D = 6 MC
⇒ D = 6 MC
Most Upvoted Answer
A cylindrical job with diameter of 200 mm and height of 100 mm is to b...
The modulus method of riser design is used to determine the dimensions of a riser that will provide sufficient feeding to the casting during solidification. In this method, the riser is designed to have a volume that is a certain percentage of the volume of the casting. The riser is usually cylindrical in shape, and its height and diameter are determined based on the dimensions of the casting.
Given:
Diameter of the casting (D) = 200 mm
Height of the casting (H) = 100 mm
To determine the height of the riser, we need to calculate the volume of the casting and the required volume of the riser.
1. Calculate the volume of the casting:
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Since the diameter of the casting is given, we can calculate the radius using the formula r = D/2.
So, the volume of the casting (Vc) is:
Vc = π(100 mm)^2(200 mm)
Vc = 3.14(10000 mm^3)
Vc = 31400 mm^3
2. Calculate the required volume of the riser:
The modulus method suggests that the volume of the riser should be a certain percentage of the volume of the casting. The recommended percentage varies depending on the material being cast and the design considerations. Let's assume the recommended percentage is 20%.
So, the required volume of the riser (Vr) is:
Vr = 0.2(Vc)
Vr = 0.2(31400 mm^3)
Vr = 6280 mm^3
3. Calculate the height of the riser:
Since the diameter of the riser is equal to its height, let's assume the height of the riser is h.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
In this case, the radius and height of the riser are both h/2.
So, the volume of the riser (Vr) is:
Vr = π(h/2)^2(h/2)
Vr = π(h^3/8)
Since Vr = 6280 mm^3, we can equate the two equations and solve for h:
π(h^3/8) = 6280 mm^3
h^3/8 = 6280 mm^3/π
h^3 = 8(6280 mm^3/π)
h = (8(6280 mm^3/π))^(1/3)
h ≈ 150 mm
Therefore, the height of the riser is approximately 150 mm, which corresponds to option A.
Given:
Diameter of the casting (D) = 200 mm
Height of the casting (H) = 100 mm
To determine the height of the riser, we need to calculate the volume of the casting and the required volume of the riser.
1. Calculate the volume of the casting:
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Since the diameter of the casting is given, we can calculate the radius using the formula r = D/2.
So, the volume of the casting (Vc) is:
Vc = π(100 mm)^2(200 mm)
Vc = 3.14(10000 mm^3)
Vc = 31400 mm^3
2. Calculate the required volume of the riser:
The modulus method suggests that the volume of the riser should be a certain percentage of the volume of the casting. The recommended percentage varies depending on the material being cast and the design considerations. Let's assume the recommended percentage is 20%.
So, the required volume of the riser (Vr) is:
Vr = 0.2(Vc)
Vr = 0.2(31400 mm^3)
Vr = 6280 mm^3
3. Calculate the height of the riser:
Since the diameter of the riser is equal to its height, let's assume the height of the riser is h.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
In this case, the radius and height of the riser are both h/2.
So, the volume of the riser (Vr) is:
Vr = π(h/2)^2(h/2)
Vr = π(h^3/8)
Since Vr = 6280 mm^3, we can equate the two equations and solve for h:
π(h^3/8) = 6280 mm^3
h^3/8 = 6280 mm^3/π
h^3 = 8(6280 mm^3/π)
h = (8(6280 mm^3/π))^(1/3)
h ≈ 150 mm
Therefore, the height of the riser is approximately 150 mm, which corresponds to option A.
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A cylindrical job with diameter of 200 mm and height of 100 mm is to be cast using modulus method of riser design. Assume that the bottom surface of cylindrical riser does not contribute as cooling surface. If the diameter of the riser is equal to its height, then the height of the riser (in mm) is[ME 2016,Sat-1]a)150b)200c)100d)125Correct answer is option 'A'. Can you explain this answer?
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A cylindrical job with diameter of 200 mm and height of 100 mm is to be cast using modulus method of riser design. Assume that the bottom surface of cylindrical riser does not contribute as cooling surface. If the diameter of the riser is equal to its height, then the height of the riser (in mm) is[ME 2016,Sat-1]a)150b)200c)100d)125Correct 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 cylindrical job with diameter of 200 mm and height of 100 mm is to be cast using modulus method of riser design. Assume that the bottom surface of cylindrical riser does not contribute as cooling surface. If the diameter of the riser is equal to its height, then the height of the riser (in mm) is[ME 2016,Sat-1]a)150b)200c)100d)125Correct 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 cylindrical job with diameter of 200 mm and height of 100 mm is to be cast using modulus method of riser design. Assume that the bottom surface of cylindrical riser does not contribute as cooling surface. If the diameter of the riser is equal to its height, then the height of the riser (in mm) is[ME 2016,Sat-1]a)150b)200c)100d)125Correct answer is option 'A'. Can you explain this answer?.
A cylindrical job with diameter of 200 mm and height of 100 mm is to be cast using modulus method of riser design. Assume that the bottom surface of cylindrical riser does not contribute as cooling surface. If the diameter of the riser is equal to its height, then the height of the riser (in mm) is[ME 2016,Sat-1]a)150b)200c)100d)125Correct 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 cylindrical job with diameter of 200 mm and height of 100 mm is to be cast using modulus method of riser design. Assume that the bottom surface of cylindrical riser does not contribute as cooling surface. If the diameter of the riser is equal to its height, then the height of the riser (in mm) is[ME 2016,Sat-1]a)150b)200c)100d)125Correct 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 cylindrical job with diameter of 200 mm and height of 100 mm is to be cast using modulus method of riser design. Assume that the bottom surface of cylindrical riser does not contribute as cooling surface. If the diameter of the riser is equal to its height, then the height of the riser (in mm) is[ME 2016,Sat-1]a)150b)200c)100d)125Correct answer is option 'A'. Can you explain this answer?.
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