GATE ME purpose:exam-prep PYQs & Answers — Page 63

Questions 621–630 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 63 of 104

The magnitude of reaction force at joint C of the hinge-beam shown in the figure is ____ kN (round off to 2 decimal places).

Diagram for Mechanical Engineering question 41

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A steel spur pinion has a module (

) of 1.25 mm, 20 teeth and 20° pressure angle. The pinion rotates at 1200 rpm and transmits power to a 60 teeth gear. The face width (

) is 50 mm, Lewis form factor

and a dynamic factor

. The bending stress (

) induced in a tooth can be calculated by using the Lewis formula given below.

If the maximum bending stress experienced by the pinion is 400 MPa, the power transmitted is ______ kW (round off to one decimal place).

Lewis formula:

, where

is the tangential load acting on the pinion.

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A slot of 25 mm × 25 mm is to be milled in a workpiece of 300 mm length using a side and face milling cutter of diameter 100 mm, width 25 mm and having 20 teeth. For a depth of cut 5 mm, feed per tooth 0.1 mm, cutting speed 35 m/min and approach and over travel distance of 5 mm each, the time required for milling the slot is ______ minutes (round off to one decimal place).

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A mould cavity of 120 cm

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

. Consider acceleration due to gravity as 9.81 m/s

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

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The following data applies to basic shaft system: tolerance for hole = 0.002 mm, tolerance for shaft = 0.01 mm, allowance = 0.003 mm, basic size = 50 mm. The maximum hole size is _____ nm (round off to 3 decimal places).

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A cylindrical bar with 200 mm diameter is being turned with a tool having geometry 0° - 9° - 7° - 8° - 15° - 30° - 0.05 inch (Coordinate system, ASA) resulting in a cutting force

. If the tool geometry is changed to 0° - 9° - 7° - 8° - 15° - 0° - 0.05 inch (Coordinate system, ASA) and all other parameters remain unchanged, the cutting force changes to

. Specific cutting energy (in J/mm

) is

, where

is the specific energy coefficient, and

is the uncut thickness in mm. The value of percentage change in cutting force

, i.e.

, is ______ (round off to one decimal place).

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A steel part with surface area of 125 cm² is to be chrome coated through an electroplating process using chromium acid sulfate as an electrolyte. An increasing current is applied to the part according to the following current time relation:

where,

= current (A) and

= time (minutes). The part is submerged in the plating solution for a duration of 20 minutes for plating purpose. Assuming the code efficiency of chromium to be 15% and the plating constant of chromium acid sulfate to be 2.50 × 10⁻² mm³/A·s, the resulting coating thickness on the part surface is ______ μm (round off to one decimal place).

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There are two identical shape machines S

and S

. In machine S

, the width of the workpiece is increased by 10% and the feed is decreased by 10%, with respect to that of S

. If all other conditions remain the same then the ratio of total time per pass in S

and S

will be ______ (round off to one decimal place).

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In a turning process using orthogonal tool geometry, a chip length of 100 mm is obtained for an uncut chip length of 250 mm.

The cutting conditions are: cutting speed = 30 m/min, rake angle = 20°.

The shear plane angle is ______ degrees (round off to one decimal place).

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Bars of 250 mm length and 25 mm diameter are to be turned on a lathe with a feed of 0.2 mm/rev. Each grinding of the tool costs Rs. 20. The time required for each tool change is 1 min. Tool life equation is

(where cutting speed

is in m/min and tool life

is in min). The optimum tool cost per piece for maximum production rate is Rs. ______ (round off to 2 decimal places).

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