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Consider sand casting of a cube of edge length a. A cylindrical riser is placed at the top of the casting. Assume solidification time, t∝ V A , where V is the volume and A is the total surface area dissipating heat. If the top of the riser is insulated, which of the following radius/radii of riser is/are acceptable?
  • a)
    a/3
  • b)
    a/2
  • c)
    a/4
  • d)
    a/6
Correct answer is option 'A,B'. Can you explain this answer?
Most Upvoted Answer
Consider sand casting of a cube of edge length a. A cylindrical riser ...
, is the time taken for the entire casting to solidify, and cooling time, tc, is the time taken for the casting to cool down to room temperature.

During solidification, the molten metal in the casting gradually solidifies from the outer surface towards the center. The solidification time, ts, is dependent on various factors such as the material being cast, the shape and size of the casting, and the cooling conditions.

The cooling time, tc, is the time required for the casting to cool down from its solidification temperature to room temperature. This is influenced by factors such as the thermal properties of the casting material, the heat transfer rate, and the ambient temperature.

The cylindrical riser is placed at the top of the casting to act as a reservoir of molten metal. As the casting solidifies, the metal in the riser gradually feeds into the shrinking casting, compensating for the volume reduction due to solidification shrinkage. This helps to prevent defects such as shrinkage porosity or voids in the casting.

The size and design of the riser are important considerations. The riser should have enough capacity to supply sufficient molten metal during solidification and cooling. It should also be located in a position that allows for efficient feeding of the casting and easy removal after solidification.

Overall, the use of a cylindrical riser in sand casting helps to ensure a sound and defect-free casting by providing a continuous supply of molten metal during solidification and compensating for volume shrinkage.
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Community Answer
Consider sand casting of a cube of edge length a. A cylindrical riser ...

Here,

We know that,

⇒ Volume of riser ≥ Volume of casting

Hence, the correct option is (A, B).
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Consider sand casting of a cube of edge length a. A cylindrical riser is placed at the top of the casting. Assume solidification time, ts∝V A , where V is the volume and A is the total surface area dissipating heat. If the top of the riser is insulated, which of the following radius/radii of riser is/are acceptable?a)a/3b)a/2c)a/4d)a/6Correct answer is option 'A,B'. Can you explain this answer?
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Consider sand casting of a cube of edge length a. A cylindrical riser is placed at the top of the casting. Assume solidification time, ts∝V A , where V is the volume and A is the total surface area dissipating heat. If the top of the riser is insulated, which of the following radius/radii of riser is/are acceptable?a)a/3b)a/2c)a/4d)a/6Correct answer is option 'A,B'. 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 Consider sand casting of a cube of edge length a. A cylindrical riser is placed at the top of the casting. Assume solidification time, ts∝V A , where V is the volume and A is the total surface area dissipating heat. If the top of the riser is insulated, which of the following radius/radii of riser is/are acceptable?a)a/3b)a/2c)a/4d)a/6Correct answer is option 'A,B'. 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 Consider sand casting of a cube of edge length a. A cylindrical riser is placed at the top of the casting. Assume solidification time, ts∝V A , where V is the volume and A is the total surface area dissipating heat. If the top of the riser is insulated, which of the following radius/radii of riser is/are acceptable?a)a/3b)a/2c)a/4d)a/6Correct answer is option 'A,B'. Can you explain this answer?.
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