GATE PI format:nat PYQs & Answers — Page 17

Questions 161–170 of 264. Imported answers require independent review unless marked reviewed.

Topic practice 264 questionsPage 17 of 27

A fluid with dynamic viscosity

Pa.s is flowing through a circular pipe with diameter 1 cm. If the flow rate (discharge) in the pipe is 0.2 liter/s, the maximum velocity in m/s of the fluid in the pipe is (assume fully developed flow and take fluid density

kg/m³) ________. [round off to one decimal place]

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Values of function

at discrete values of

for

are given in table. Using trapezoidal rule,

________. [round off to one decimal place]

x	0	1	2	3	4	5	6	7	8	9	10
y(x)	5	3	0	-5	-10	-6	0	5	11	18	30

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Temperature field inside a sphere of radius

m with origin at its center is

. If thermal conductivity of the sphere material is

W/m.K and Fourier law of heat conduction is valid, net heat leaving the sphere per unit time in W is ________. [round off to one decimal place]

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A 3.5 mm thick sheet is rolled using a two high rolling mill to reduce the thickness under plane strain condition. Both rolls have a diameter of 500 mm and are rotating at 200 RPM. The coefficient of friction at the sheet and roll interface is 0.08, and the elastic deflection of the rolls is negligible. If the mean flow strength of the sheet material is 400 MPa, then the minimum possible thickness (in mm) of sheet that can be produced in a single pass is ________. [round off to 2 decimal places]

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In a uniaxial tensile test on a specimen of a ductile material, the ultimate tensile strength is found to be 400 MPa and the elongation up to the maximum load is 25%. The true stress at the maximum load in MPa is __________.

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Suppose the control system of a fighter jet consists of three unrelated components in series, and it is desired to have 98% reliability of the system. If the reliability level of all the components is the same, then the reliability of each component (rounded off to three decimal places) is __________.

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The product structure tree in the figure below shows the components needed to assemble one unit of product P.

Diagram for Production and Industrial Engineering question 25

The number of units of component D needed to assemble 10 units of product P is __________.

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For

, the value of

using Simpson’s

rule with two intervals (rounded off to two decimal places) is __________.

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If the probability density function of a random variable

is given by

the value of

is __________.

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A solid shaft has to transmit 50 kW of power at a speed of 190 RPM. Ignore any possible bending of the shaft. The maximum allowable shear stress for the material of the shaft is 80 MPa. The minimum diameter of the shaft required to prevent failure due to shear (rounded off to one decimal place) in cm is __________.

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GATE PI format:nat PYQs

Question 52

Question 53

Question 54

Question 55

Question 23

Question 24

Question 25

Question 35

Question 36

Question 37