Area at Top Section of Sprue Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area at Top Section = Area of Sprue in Choke Section*sqrt(Head at Choke Section/Metal Head at Top Section)
At = A*sqrt(hc/ht)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Area at Top Section - (Measured in Square Meter) - Area at Top Section is the surface area at the uppermost part of a component or structure.
Area of Sprue in Choke Section - (Measured in Square Meter) - Area of Sprue in Choke Section is the area at that part of Sprue where it runs full of metal.
Head at Choke Section - (Measured in Meter) - Head at Choke Section is the vertical height of molten metal above the narrowest point (choke) in the gating system of a casting, crucial for ensuring proper flow and filling of the mold cavity.
Metal Head at Top Section - (Measured in Meter) - Metal Head at Top Section is the length of molten metal that accumulates at the top of the sprue, which is the vertical passage through which molten metal is poured into a mold during casting.
STEP 1: Convert Input(s) to Base Unit
Area of Sprue in Choke Section: 16.73 Square Centimeter --> 0.001673 Square Meter (Check conversion ​here)
Head at Choke Section: 7 Centimeter --> 0.07 Meter (Check conversion ​here)
Metal Head at Top Section: 10 Centimeter --> 0.1 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
At = A*sqrt(hc/ht) --> 0.001673*sqrt(0.07/0.1)
Evaluating ... ...
At = 0.00139973222439151
STEP 3: Convert Result to Output's Unit
0.00139973222439151 Square Meter -->13.9973222439151 Square Centimeter (Check conversion ​here)
FINAL ANSWER
13.9973222439151 13.99732 Square Centimeter <-- Area at Top Section
(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Sprue Calculators

Area at Choke Section of Sprue
​ LaTeX ​ Go Area of Sprue in Choke Section = Area at Top Section*sqrt(Metal Head at Top Section/Head at Choke Section)
Area at Top Section of Sprue
​ LaTeX ​ Go Area at Top Section = Area of Sprue in Choke Section*sqrt(Head at Choke Section/Metal Head at Top Section)
Metal Head at Choke Section of Sprue
​ LaTeX ​ Go Head at Choke Section = Metal Head at Top Section*(Area at Top Section/Area of Sprue in Choke Section)^2
Metal Head at Top Section of Sprue
​ LaTeX ​ Go Metal Head at Top Section = Head at Choke Section*(Area of Sprue in Choke Section/Area at Top Section)^2

Area at Top Section of Sprue Formula

​LaTeX ​Go
Area at Top Section = Area of Sprue in Choke Section*sqrt(Head at Choke Section/Metal Head at Top Section)
At = A*sqrt(hc/ht)

What is sprue?

Sprue is the channel through which the molten metal is brought into the parting plane, where it enters the runners and gates to ultimately reach the mould cavity. The molten metal when moving from top of the cope to the parting plane gains in velocity, and as a consequence, requires a smaller area of cross section for the same amount of metal to flow at the top. If the sprue were to be straight-cylindrical then the metal flow would not be full at the bottom, but some low-pressure area would be created around the metal in the sprue.

How to Calculate Area at Top Section of Sprue?

Area at Top Section of Sprue calculator uses Area at Top Section = Area of Sprue in Choke Section*sqrt(Head at Choke Section/Metal Head at Top Section) to calculate the Area at Top Section, The Area at top section of sprue is that area which is present at the top of the sprue from where metal first enters the sprue. Area at Top Section is denoted by At symbol.

How to calculate Area at Top Section of Sprue using this online calculator? To use this online calculator for Area at Top Section of Sprue, enter Area of Sprue in Choke Section (A), Head at Choke Section (hc) & Metal Head at Top Section (ht) and hit the calculate button. Here is how the Area at Top Section of Sprue calculation can be explained with given input values -> 139973.2 = 0.001673*sqrt(0.07/0.1).

FAQ

What is Area at Top Section of Sprue?
The Area at top section of sprue is that area which is present at the top of the sprue from where metal first enters the sprue and is represented as At = A*sqrt(hc/ht) or Area at Top Section = Area of Sprue in Choke Section*sqrt(Head at Choke Section/Metal Head at Top Section). Area of Sprue in Choke Section is the area at that part of Sprue where it runs full of metal, Head at Choke Section is the vertical height of molten metal above the narrowest point (choke) in the gating system of a casting, crucial for ensuring proper flow and filling of the mold cavity & Metal Head at Top Section is the length of molten metal that accumulates at the top of the sprue, which is the vertical passage through which molten metal is poured into a mold during casting.
How to calculate Area at Top Section of Sprue?
The Area at top section of sprue is that area which is present at the top of the sprue from where metal first enters the sprue is calculated using Area at Top Section = Area of Sprue in Choke Section*sqrt(Head at Choke Section/Metal Head at Top Section). To calculate Area at Top Section of Sprue, you need Area of Sprue in Choke Section (A), Head at Choke Section (hc) & Metal Head at Top Section (ht). With our tool, you need to enter the respective value for Area of Sprue in Choke Section, Head at Choke Section & Metal Head at Top Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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