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GATE ME 2019: Topper's Quiz-3

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Question 1

A straight rod of length L(t), hinged at one end and freely extensible at the other end, rotates through an angle θ(t) about the hinge. At time t, L(t) = 1 m, (t) = 1 m/s, rad and θ(t) = 1 rad/s. The magnitude of the velocity at the other end of the rod is

Question 2

Air is introduced through the nozzle into a tank of water to from a stream of bubbles. If the bubbles are intended to have a diameter of 2mm. calculate by how much the pressure of air at the nozzle must exceed that of the surrounding water. Assume that surface tension of water is 0.073 N/m

Question 3

Air (1 atm; 5 ° C) with free stream velocity of 2 m/s flowing over a stationary thin 1 m × 1 m flat plate.
The flat plate has a uniform surface temperature of 35 ° C. If the friction force asserted on the flat plate is 0.1 N, the rate of heat transfer from the plate is ________ W.
Properties of air (1 atm; 20°C) is
ρ = 1.269 kg/m3
Cp = 1006 J/kg-K
μ = 1.729 × 10-5 kg/m-s
Pr = 0.7350

Question 4

The most commonly used criteria for measuring forecast error is

Question 5

The clutch is employed to connect on electric motor running at 900 rpm with flywheel stationary initially. The torque is 9.272 Nm. The flywheel has a mass of 14 kg and its radius of gyration is 160 mm. The time required for the flywheel to attain full speed is

Question 6

A tank open at the top with a water level of 1 m, as shown in the figure, has a hole at a height of 0.5 m. A free jet leaves horizontally from the smooth hole. The distance X (in m) where the jet strikes the floor is

Question 7

In an experiment, the local heat transfer over a flat plate were correlated in the form of local Nussel number as expressed by the following correlation.
Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\08_Heat-Transfer_BLok_files\image076.png
The ratio of the average convection heat transfer coefficient (Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\08_Heat-Transfer_BLok_files\image077.png) over the entire plate length to the local convection heat transfer convection heat transfer coefficient (hx) at x=L is ____________.

Question 8

A tubular heat exchanger is to be design for cooling from a temperature of 800C to 300C by a large stagnant water which may be assumed to remain constant at a temperature of 200C. The heat transfer surface consist of 30 m long straight tube of 20 mm inside diameter. The oil (specific gravity =0.8) flows through cylindrical tube with an average velocity of 50 cm/s. The overall heat transfer coefficient is 298.7 W/m20C. The heat transfer through the heat exchanger is _____________ kW.

Question 9

The cost parameters and other factor for a production inventory system of automobile factory are
Demand / year = 6000 units
Unit cost = Rs. 40/-
Setup cost (order cost) = Rs. 500/ set up
Production rate/ year = 36000 units
Holding cost/unit/year = Rs. 8/-
Shortage cost/unit/year = Rs. 20/-
The optimal lot size would be _____ units.

Question 10

A jobs shop has received an orderconsisting of 7 jobs
Description: Description: 03_Industrial-Engg_BLok_files\image084.jpg

What are the percentage utilization of milling and drilling machines?
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Sep 9ESE & GATE ME