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With a solidification factor of 0.97 x 102 s/m2, the solidification time (in seconds) for a spherical casting of 200 mm diameter is
[GATE-2003]
- a)539
- b)1078
- c)4311
- d)3233
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
With a solidification factor of 0.97 x 102 s/m2, the solidification ti...
Option (b) is correct
ts = K (V/SA)^2
K= Solidification factor
V=volume of casting
SA= surface area of casting
Most Upvoted Answer
With a solidification factor of 0.97 x 102 s/m2, the solidification ti...
To find the solidification time for a spherical casting, we can use the formula:
Solidification time = (Volume of casting) / (Solidification factor)
Given that the diameter of the casting is 200 mm, we can calculate the volume of the casting using the formula for the volume of a sphere:
Volume of casting = (4/3) * π * (radius)^3
The radius can be calculated by dividing the diameter by 2:
Radius = 200 mm / 2 = 100 mm = 0.1 m
Now, we can substitute the values into the formula for the volume of the casting:
Volume of casting = (4/3) * π * (0.1 m)^3
Next, we need to calculate the solidification factor. The given solidification factor is 0.97 x 10^2 s/m^2. To make it easier to work with, we can convert it to 97 s/m^2.
Now we can substitute the values into the formula for solidification time:
Solidification time = (Volume of casting) / (Solidification factor)
Solidification time = [(4/3) * π * (0.1 m)^3] / 97 s/m^2
Simplifying the equation:
Solidification time = [(4/3) * 3.14 * (0.001 m^3)] / 97 s/m^2
Solidification time = (4 * 3.14 * 0.001) / 97 s
Solidification time = 0.01256 / 97 s
Solidification time ≈ 0.00013 s
Therefore, the solidification time for a spherical casting of 200 mm diameter is approximately 0.00013 seconds.
However, none of the given answer options match this result. It is possible that there is an error in the question or the answer options provided.
Solidification time = (Volume of casting) / (Solidification factor)
Given that the diameter of the casting is 200 mm, we can calculate the volume of the casting using the formula for the volume of a sphere:
Volume of casting = (4/3) * π * (radius)^3
The radius can be calculated by dividing the diameter by 2:
Radius = 200 mm / 2 = 100 mm = 0.1 m
Now, we can substitute the values into the formula for the volume of the casting:
Volume of casting = (4/3) * π * (0.1 m)^3
Next, we need to calculate the solidification factor. The given solidification factor is 0.97 x 10^2 s/m^2. To make it easier to work with, we can convert it to 97 s/m^2.
Now we can substitute the values into the formula for solidification time:
Solidification time = (Volume of casting) / (Solidification factor)
Solidification time = [(4/3) * π * (0.1 m)^3] / 97 s/m^2
Simplifying the equation:
Solidification time = [(4/3) * 3.14 * (0.001 m^3)] / 97 s/m^2
Solidification time = (4 * 3.14 * 0.001) / 97 s
Solidification time = 0.01256 / 97 s
Solidification time ≈ 0.00013 s
Therefore, the solidification time for a spherical casting of 200 mm diameter is approximately 0.00013 seconds.
However, none of the given answer options match this result. It is possible that there is an error in the question or the answer options provided.
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With a solidification factor of 0.97 x 102 s/m2, the solidification time (in seconds) for a spherical casting of 200 mm diameter is [GATE-2003]a)539 b)1078 c)4311 d)3233Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about With a solidification factor of 0.97 x 102 s/m2, the solidification time (in seconds) for a spherical casting of 200 mm diameter is [GATE-2003]a)539 b)1078 c)4311 d)3233Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for With a solidification factor of 0.97 x 102 s/m2, the solidification time (in seconds) for a spherical casting of 200 mm diameter is [GATE-2003]a)539 b)1078 c)4311 d)3233Correct answer is option 'B'. Can you explain this answer?.
With a solidification factor of 0.97 x 102 s/m2, the solidification time (in seconds) for a spherical casting of 200 mm diameter is [GATE-2003]a)539 b)1078 c)4311 d)3233Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about With a solidification factor of 0.97 x 102 s/m2, the solidification time (in seconds) for a spherical casting of 200 mm diameter is [GATE-2003]a)539 b)1078 c)4311 d)3233Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for With a solidification factor of 0.97 x 102 s/m2, the solidification time (in seconds) for a spherical casting of 200 mm diameter is [GATE-2003]a)539 b)1078 c)4311 d)3233Correct answer is option 'B'. Can you explain this answer?.
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