Question:
In a sand mold, a sprue of height \(h_2=200\ mm\) is to be provided for maintaining the molten metal flow rate of \(10^6\ mm^3/s\). The height of liquid column above the point 2 is kept constant at \(h_c=25\ mm\). The cross-sectional areas of the sprue at points 2 and 3 are \(A_2\) and \(A_3\), respectively. The points 1 and 3 are at the atmospheric pressure. Assuming the gauge pressure at point 2 to be zero as the limiting case to prevent aspiration effect, the ratio \(\frac {A_3}{A_2}\) _____ . (Rounded off to 2 decimal places)
In a sand mold, a sprue of height \(h_2=200\ mm\) is to be provided for maintaining the molten metal flow rate of \(10^6\ mm^3/s\). The height of liquid column above the point 2 is kept constant at \(h_c=25\ mm\). The cross-sectional areas of the sprue at points 2 and 3 are \(A_2\) and \(A_3\), respectively. The points 1 and 3 are at the atmospheric pressure. Assuming the gauge pressure at point 2 to be zero as the limiting case to prevent aspiration effect, the ratio \(\frac {A_3}{A_2}\) _____ . (Rounded off to 2 decimal places)
Updated On: Jul 24, 2024
Hide Solution
Verified By Collegedunia
Correct Answer: 0.31
Solution and Explanation
The answer is: 0.31 or 0.35 (approx.)
Was this answer helpful?
0
1
Top Questions on Fluid Mechanics
- A 5m × 5m closed tank of 10 m height contains water and oil, and is connected to an overhead water reservoir as shown in the figure. Use \(γ_w=10\ kN/m^3\) and Specific gravity of oil = 0.8
- GATE CE - 2024
- Water Resources Engineering
- Fluid Mechanics
- A small ball of mass $m$ and density $\rho$ is dropped in a viscous liquid of density $\rho_0$. After some time, the ball falls with constant velocity. The viscous force on the ball is:
- JEE Main - 2024
- Physics
- Fluid Mechanics
- A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of 10 N is applied on the surface of water in the thinner arm. The force required to be applied on the surface of water in the thicker arm to maintain equilibrium of water is _______ N.
- JEE Main - 2024
- Physics
- Fluid Mechanics
- Given below are two statements:
Statement I: When the speed of liquid is zero everywhere, the pressure difference at any two points depends on the equation \[P_1 - P_2 = \rho g (h_2 - h_1).\]
Statement II: In the ventury tube shown, \[2gh = v_1^2 - v_2^2.\]
In the light of the above statements, choose the most appropriate answer from the options given below.- JEE Main - 2024
- Physics
- Fluid Mechanics
- Small water droplets of radius 0.01 mm are formed in the upper atmosphere and falling with a terminal velocity of 10 cm/s. Due to condensation, if 8 such droplets are coalesced and formed a larger drop, the new terminal velocity will be ………..cm/s.
- JEE Main - 2024
- Physics
- Fluid Mechanics
View More Questions
Questions Asked in GATE PI exam
- A metallic cylindrical pressure vessel, used to store compressed air in a plant, has 1 m mean radius and 4 mm wall thickness. The maximum allowable normal and shear stresses in the cylindrical portion of the vessel are 100 MPa and 40 MPa, respectively. Considering only these data in the design, the maximum allowable internal gauge pressure (in MPa) of the compressed air is ______ . (Rounded off to 2 decimal places)
- GATE PI - 2024
- Stress-Strain behavior of metals and alloys
- The following differential equation governs the evolution of variable \(x(t)\) with time \(t, t \geq 0\).
\(\frac {d^2x}{dt^2} + 4x = e^{-t}\)
Given the initial conditions \(x = 0\) and \(\frac {dx}{dt} = 0\) at \(t = 0\), the value of \(x\) at \(t =\frac {\pi}{8}\) is _____ . (Rounded off to 3 decimal places)- GATE PI - 2024
- Differential Equations
- A CNC milling operation is carried out by moving the tool from the point A to point B in anti-clockwise direction to cut a slot of quarter circle with center at C, as shown. The coordinates of the points A and B are (0,0) and (10,10), respectively. All dimensions are in mm. If the feed rate at point P along x-axis is 6 mm/min, then the feed rate (in mm/min) at point P along y-axis is ______ . (Rounded off to 1 decimal place)
- GATE PI - 2024
- Machining parameters and material removal rate
- A company purchased two machines, Machine A and Machine B, at the same time. The purchase price, estimated useful life and the estimated salvage value of the two machines are given in the table.Using the straight-line depreciation method for both the machines, the difference (in INR) between the value of Machine A and the value of Machine B at the end of five years is _____ . (Answer in integer)
Machine A Machine B Purchase price INR 20,000 INR 15,000 Estimated useful life 10 years 20 years Estimated salvage value INR 5,000 INR 5,000 - GATE PI - 2024
- Project Management
- A company orders an item using the classical economic order quantity formula. If the ordering cost per order is increased by 20% and the demand per unit time is also increased by 20%, then the time between orders increases (in %) by ____ . (Answer in integer)
- GATE PI - 2024
- Inventory
View More Questions