GATE Mechanical Engineering (ME) 2019 Shift 2 Solved Paper

Question : 38 of 65

Marks: +1, -0

The figure shows a pouring arrangement for casting of a metal block. Frictional losses are negligible. The acceleration due to gravity is

9.81 {m} {/} {s}^{2} .

The time (in s, round off to two decimal places) to fill up the mold cavity (of size

40 {cm} × 30 {cm} × 15 {cm}

) is

Solution:

Mold filling time

=\;{V_{m}}/{A_{g} ⋅ √{2 g h}}

Time

=\;{0.40 × 0.30 × 0.15}/{π \;{0.02^{2}}/{4} ⋅ √{2 × 9.81 × 0.20}} 28.94 {Sec}

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