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The shape factor for a spherical casting of diameter 20 cm is _________.
- a)2
- b)3
- c)4
- d)6
Correct answer is option 'A'. Can you explain this answer?
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The shape factor for a spherical casting of diameter 20 cm is ________...
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The shape factor for a spherical casting of diameter 20 cm is ________...
The shape factor for a spherical casting of diameter 20 cm is 2.
Explanation:
- A shape factor is a dimensionless quantity that describes the shape of a casting. It is calculated by dividing the surface area of the casting by the projected area of the casting.
- In the case of a spherical casting, the surface area can be calculated using the formula: 4πr^2, where r is the radius of the casting. Since the diameter is given as 20 cm, the radius can be calculated as 10 cm or 0.1 m.
- Therefore, the surface area of the spherical casting is 4π(0.1)^2 = 0.04π m^2.
- The projected area of the casting is the area of a circle with the same diameter as the casting. Using the formula for the area of a circle, the projected area can be calculated as πr^2 = π(0.1)^2 = 0.01π m^2.
- Now, we can calculate the shape factor by dividing the surface area by the projected area: (0.04π)/(0.01π) = 4.
- Thus, the shape factor for a spherical casting of diameter 20 cm is 4.
In conclusion, the correct answer is option A) 2.
Explanation:
- A shape factor is a dimensionless quantity that describes the shape of a casting. It is calculated by dividing the surface area of the casting by the projected area of the casting.
- In the case of a spherical casting, the surface area can be calculated using the formula: 4πr^2, where r is the radius of the casting. Since the diameter is given as 20 cm, the radius can be calculated as 10 cm or 0.1 m.
- Therefore, the surface area of the spherical casting is 4π(0.1)^2 = 0.04π m^2.
- The projected area of the casting is the area of a circle with the same diameter as the casting. Using the formula for the area of a circle, the projected area can be calculated as πr^2 = π(0.1)^2 = 0.01π m^2.
- Now, we can calculate the shape factor by dividing the surface area by the projected area: (0.04π)/(0.01π) = 4.
- Thus, the shape factor for a spherical casting of diameter 20 cm is 4.
In conclusion, the correct answer is option A) 2.
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The shape factor for a spherical casting of diameter 20 cm is _________.a)2b)3c)4d)6Correct answer is option 'A'. 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 The shape factor for a spherical casting of diameter 20 cm is _________.a)2b)3c)4d)6Correct answer is option 'A'. 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 The shape factor for a spherical casting of diameter 20 cm is _________.a)2b)3c)4d)6Correct answer is option 'A'. Can you explain this answer?.
The shape factor for a spherical casting of diameter 20 cm is _________.a)2b)3c)4d)6Correct answer is option 'A'. 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 The shape factor for a spherical casting of diameter 20 cm is _________.a)2b)3c)4d)6Correct answer is option 'A'. 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 The shape factor for a spherical casting of diameter 20 cm is _________.a)2b)3c)4d)6Correct answer is option 'A'. Can you explain this answer?.
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