GATE ME branch:me PYQs & Answers — Page 49

Questions 481–490 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 49 of 104

A true centrifugal casting operation needs to be performed horizontally to make copper tube sections with outer diameter of 250 mm and inner diameter of 230 mm. The value of acceleration due to gravity,

m/s

. If a G-factor (ratio of centrifugal force to weight) of 60 is used for casting the tube, the rotational speed required is ______ rpm (round off to the nearest integer).

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Daily production capacity of a bearing manufacturing company is 3000 bearings. The daily demand of the bearing is 1500. The holding cost per year of keeping a bearing in the inventory is ₹ 20. The setup cost for the production of a batch is ₹ 1800. Assuming 300 working days in a year, the economic batch quantity in number of bearings is ____________ (in integer).

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The resistance spot welding of two 1.55 mm thick metal sheets is performed using welding current of 10000 A for 0.25 s. The contact resistance at the interface of the metal sheets is 0.0001 Ω. The volume of weld nugget formed after welding is 70 mm

. Considering the heat required to melt unit volume of metal is 12 J/mm

, the thermal efficiency of the welding process is ______ % (round off to one decimal place).

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A cast product of a particular material has dimensions 75 mm × 125 mm × 20 mm. The total solidification time for the cast product is found to be 2.0 minutes as calculated using Chvorinov’s rule having the index,

= 2. If under the identical casting conditions, the cast product shape is changed to a cylinder having diameter = 50 mm and height = 50 mm, the total solidification time will be ____________ minutes (round off to two decimal places).

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An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of 12° on a lathe. During turning, the cutting force and the friction force are 100 N and 600 N, respectively. If the chip thickness and the uncut chip thickness during turning are 1.5 mm and 0.75 mm, respectively, then the shear force is ______ N (round off to two decimal places).

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A spot welding operation performed on two pieces of steel yielded a nugget with a diameter of 5 mm and a thickness of 1 mm. The welding time was 0.1 s. The melting energy for the steel is 20 J/mm³. Assuming the heat conversion efficiency is 10%, the power required for performing the spot welding operation is ____________ kW (round off to two decimal places).

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In a grinding operation of a metal, specific energy consumption is 15 J/mm³. If a grinding wheel with a diameter of 200 mm is rotating at 3000 rpm to obtain a material removal rate of 600 mm³/min, then the tangential force on the wheel is ______ N (round off to two decimal places).

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A surface grinding operation has been performed on a Cast Iron plate having dimensions 300 mm (length) × 10 mm (width) × 50 mm (height). The grinding was performed using an alumina wheel having a wheel diameter of 150 mm and wheel width of 12 mm. The grinding velocity used is 40 m/s, table speed is 5 m/min, depth of cut per pass is 50 μm and the number of grinding passes is 20. The average tangential and average normal force for each pass is found to be 40 N and 60 N respectively. The value of the specific grinding energy under the aforesaid grinding conditions is ____________ J/mm³ (round off to one decimal place).

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A 200 mm wide plate having a thickness of 20 mm is fed through a rolling mill with two rolls. The radius of each roll is 300 mm. The plate thickness is to be reduced to 18 mm in one pass using a roll speed of 50 rpm. The strength coefficient (

) of the work material flow curve is 300 MPa and the strain hardening exponent,

is 0.2. The coefficient of friction between the rolls and the plate is 0.1. If the friction is sufficient to permit the rolling operation then the roll force will be ______ kN (round off to the nearest integer).

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In a pure orthogonal turning by a zero rake angle single point carbide cutting tool, the shear force has been computed to be 400 N. The cutting velocity,

= 100 m/min, depth of cut,

= 2.0 mm, feed,

= 0.1 mm/revolution and chip velocity,

= 20 m/min, the shear strength,

of the material will be ____________ MPa (round off to two decimal places).

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