GATE ME 2022 Set 2 — Question 27
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MSQ+1 / -0MediumSolidification & Chvorinov's RuleCastingManufacturing ProcessesRiser & Gating Design
Manufacturing Processes → Casting → Riser & Gating Design
Last updated
Question
Consider sand casting of a cube of edge length . A cylindrical riser is placed at the top of the casting. Assume solidification time, , where is the volume and 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?
Correct answer
(A) (a)/(3); (B) (a)/(2)
Solution
For an effective riser, its solidification time must be greater than or equal to that of the casting: .
Given , we need .For the cube casting: .For the cylindrical riser of radius and height :
Given , we need .For the cube casting: .For the cylindrical riser of radius and height :
- Volume
- Surface area dissipating heat: Since the top is insulated and the bottom is in contact with the casting, only the curved surface area dissipates heat. .
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Casting
2026 Set 1 Q30In relation to metal casting defects, match the following | Defect | Description | | :--- | :--- |…2026 Set 1 Q32A work piece is to be firmly held in a fixture. It is to be machined by using a plain slab milling…2026 Set 1 Q59In a deep drawing operation of a rectangular sheet metal, stretching in length results in…2026 Set 1 Q63During orthogonal turning by using a single point cutting tool, feed rate is 0.24 mm/rev. The uncut…2026 Set 1 Q64A drill bit during its lifetime can produce 150 through holes in a plate at a drill-speed of 200…