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While cooling a cubical casting of side 50 mm under goes 3%, 5%, 8% volumetric shrinkage during liquid stage, phase transition and solid state respectively. The volume of metal compensated from riser is a) 3% b) 8% c) 13% d) 11% e) 16% f) none of these?
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While cooling a cubical casting of side 50 mm under goes 3%, 5%, 8% vo...
Given Data:
- Side of the cubical casting: 50 mm
- Volumetric shrinkage during liquid stage: 3%
- Volumetric shrinkage during phase transition: 5%
- Volumetric shrinkage during solid state: 8%
Calculating Volumes:
To find the volume of metal compensated from the riser, we need to calculate the volume of the casting in different stages.
1. Volume of the casting in the liquid stage:
The volume of the casting in the liquid stage can be calculated using the formula:
Volume = (Side)^3
Substituting the given side length of the casting:
Volume of casting in liquid stage = (50 mm)^3
2. Volume of the casting in the phase transition stage:
During the phase transition, the volume of the casting remains the same. Therefore, the volume of the casting in the phase transition stage is also:
Volume of casting in phase transition stage = (50 mm)^3
3. Volume of the casting in the solid state:
The volume of the casting in the solid state can be calculated using the formula:
Volume = (Side)^3
Substituting the given side length of the casting:
Volume of casting in solid state = (50 mm)^3
Calculating Volumetric Shrinkage:
Volumetric shrinkage is given as a percentage. We can calculate the volumetric shrinkage in each stage using the formula:
Volumetric Shrinkage = (Initial Volume - Final Volume) / Initial Volume x 100%
1. Volumetric shrinkage during the liquid stage:
Volumetric shrinkage during liquid stage = (Volume of casting in liquid stage - Volume of casting in phase transition stage) / Volume of casting in liquid stage x 100%
= [(50 mm)^3 - (50 mm)^3] / (50 mm)^3 x 100%
= 0%
2. Volumetric shrinkage during the phase transition stage:
Volumetric shrinkage during phase transition stage = (Volume of casting in phase transition stage - Volume of casting in solid state) / Volume of casting in phase transition stage x 100%
= [(50 mm)^3 - (50 mm)^3] / (50 mm)^3 x 100%
= 0%
3. Volumetric shrinkage during the solid state:
Volumetric shrinkage during solid state = (Volume of casting in solid state - Final Volume of casting) / Volume of casting in solid state x 100%
= [(50 mm)^3 - (50 mm)^3] / (50 mm)^3 x 100%
= 0%
Conclusion:
From the calculations, we can see that the volumetric shrinkage during each stage is 0%. Therefore, the volume of metal compensated from the riser is 0%. Hence, the correct answer is None of these (f).
- Side of the cubical casting: 50 mm
- Volumetric shrinkage during liquid stage: 3%
- Volumetric shrinkage during phase transition: 5%
- Volumetric shrinkage during solid state: 8%
Calculating Volumes:
To find the volume of metal compensated from the riser, we need to calculate the volume of the casting in different stages.
1. Volume of the casting in the liquid stage:
The volume of the casting in the liquid stage can be calculated using the formula:
Volume = (Side)^3
Substituting the given side length of the casting:
Volume of casting in liquid stage = (50 mm)^3
2. Volume of the casting in the phase transition stage:
During the phase transition, the volume of the casting remains the same. Therefore, the volume of the casting in the phase transition stage is also:
Volume of casting in phase transition stage = (50 mm)^3
3. Volume of the casting in the solid state:
The volume of the casting in the solid state can be calculated using the formula:
Volume = (Side)^3
Substituting the given side length of the casting:
Volume of casting in solid state = (50 mm)^3
Calculating Volumetric Shrinkage:
Volumetric shrinkage is given as a percentage. We can calculate the volumetric shrinkage in each stage using the formula:
Volumetric Shrinkage = (Initial Volume - Final Volume) / Initial Volume x 100%
1. Volumetric shrinkage during the liquid stage:
Volumetric shrinkage during liquid stage = (Volume of casting in liquid stage - Volume of casting in phase transition stage) / Volume of casting in liquid stage x 100%
= [(50 mm)^3 - (50 mm)^3] / (50 mm)^3 x 100%
= 0%
2. Volumetric shrinkage during the phase transition stage:
Volumetric shrinkage during phase transition stage = (Volume of casting in phase transition stage - Volume of casting in solid state) / Volume of casting in phase transition stage x 100%
= [(50 mm)^3 - (50 mm)^3] / (50 mm)^3 x 100%
= 0%
3. Volumetric shrinkage during the solid state:
Volumetric shrinkage during solid state = (Volume of casting in solid state - Final Volume of casting) / Volume of casting in solid state x 100%
= [(50 mm)^3 - (50 mm)^3] / (50 mm)^3 x 100%
= 0%
Conclusion:
From the calculations, we can see that the volumetric shrinkage during each stage is 0%. Therefore, the volume of metal compensated from the riser is 0%. Hence, the correct answer is None of these (f).
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While cooling a cubical casting of side 50 mm under goes 3%, 5%, 8% volumetric shrinkage during liquid stage, phase transition and solid state respectively. The volume of metal compensated from riser is a) 3% b) 8% c) 13% d) 11% e) 16% f) none of these?
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While cooling a cubical casting of side 50 mm under goes 3%, 5%, 8% volumetric shrinkage during liquid stage, phase transition and solid state respectively. The volume of metal compensated from riser is a) 3% b) 8% c) 13% d) 11% e) 16% f) none of these? 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 While cooling a cubical casting of side 50 mm under goes 3%, 5%, 8% volumetric shrinkage during liquid stage, phase transition and solid state respectively. The volume of metal compensated from riser is a) 3% b) 8% c) 13% d) 11% e) 16% f) none of these? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for While cooling a cubical casting of side 50 mm under goes 3%, 5%, 8% volumetric shrinkage during liquid stage, phase transition and solid state respectively. The volume of metal compensated from riser is a) 3% b) 8% c) 13% d) 11% e) 16% f) none of these?.
While cooling a cubical casting of side 50 mm under goes 3%, 5%, 8% volumetric shrinkage during liquid stage, phase transition and solid state respectively. The volume of metal compensated from riser is a) 3% b) 8% c) 13% d) 11% e) 16% f) none of these? 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 While cooling a cubical casting of side 50 mm under goes 3%, 5%, 8% volumetric shrinkage during liquid stage, phase transition and solid state respectively. The volume of metal compensated from riser is a) 3% b) 8% c) 13% d) 11% e) 16% f) none of these? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for While cooling a cubical casting of side 50 mm under goes 3%, 5%, 8% volumetric shrinkage during liquid stage, phase transition and solid state respectively. The volume of metal compensated from riser is a) 3% b) 8% c) 13% d) 11% e) 16% f) none of these?.
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