GATE Mechanical Engineering (ME) 2020 Shift 2 Solved Paper

Question : 53 of 65

Marks: +1, -0

A mould cavity of

1200 {cm}^{3}

volume has to be filled through a sprue of

10 {cm}

length feeding a horizontal runner. Cross-sectional area at the base of the sprue is

2 {cm}^{2}

. Consider acceleration due to gravity as

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

Neglecting frictional losses due to molten metal flow, the time taken to fill the mould cavity is __________seconds (round off to 2 decimal places).

Solution:

time of filling

=\;{V_{m}}/{A_{g} √{2 g h}}

=\;{1200}/{2 √{2 × 981 × 10}}

=4.28 {sec}

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