Buoyant Force on Vertical Cores Calculator

✖Diameter of core print is the inside diameter of that part of mold where cores are to be placed.ⓘ Diameter of Core Print [d_c]			+10% -10%
✖The Diameter of Cylinder is the maximum width of cylinder in transverse direction.ⓘ Diameter of Cylinder [D]			+10% -10%
✖Height of Core Print is the height of core print where the cores are held in place.ⓘ Height of Core Print [h]			+10% -10%
✖Density of Metal is the mass per unit volume of the given metal.ⓘ Density of Metal [δ]			+10% -10%
✖Volume of the core is the amount of space occupied by the core.ⓘ Volume of the Core [V_c]			+10% -10%
✖Density of Core is the given density of core material.ⓘ Density of Core [ρ_c]			+10% -10%

✖Buoyant Force is the upward force exerted by any fluid upon a body placed in it.ⓘ Buoyant Force on Vertical Cores [F_buoyant]

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Formula

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Buoyant Force on Vertical Cores

Formula

`"F"_{"buoyant "} = (pi/4*("d"_{"c"}^2-"D"^2)*"h"*"δ"-"V"_{"c"}*"ρ"_{"c"})*"[g]"`

Example

`"1499.174N"=(pi/4*(("2.81cm")^2-("2cm")^2)*"0.98cm"*"80kg/cm³"-"3cm³"*"29.01kg/cm³")*"[g]"`

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Buoyant Force on Vertical Cores Solution

STEP 0: Pre-Calculation Summary

Formula Used

Buoyant Force = (pi/4*(Diameter of Core Print^2-Diameter of Cylinder^2)*Height of Core Print*Density of Metal-Volume of the Core*Density of Core)*[g]
F_buoyant = (pi/4*(d_c^2-D^2)*h*δ-V_c*ρ_c)*[g]
This formula uses 2 Constants, 7 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Buoyant Force - (Measured in Newton) - Buoyant Force is the upward force exerted by any fluid upon a body placed in it.
Diameter of Core Print - (Measured in Meter) - Diameter of core print is the inside diameter of that part of mold where cores are to be placed.
Diameter of Cylinder - (Measured in Meter) - The Diameter of Cylinder is the maximum width of cylinder in transverse direction.
Height of Core Print - (Measured in Meter) - Height of Core Print is the height of core print where the cores are held in place.
Density of Metal - (Measured in Kilogram per Cubic Meter) - Density of Metal is the mass per unit volume of the given metal.
Volume of the Core - (Measured in Cubic Meter) - Volume of the core is the amount of space occupied by the core.
Density of Core - (Measured in Kilogram per Cubic Meter) - Density of Core is the given density of core material.

STEP 1: Convert Input(s) to Base Unit

Diameter of Core Print: 2.81 Centimeter --> 0.0281 Meter (Check conversion here)
Diameter of Cylinder: 2 Centimeter --> 0.02 Meter (Check conversion here)
Height of Core Print: 0.98 Centimeter --> 0.0098 Meter (Check conversion here)
Density of Metal: 80 Kilogram per Cubic Centimeter --> 80000000 Kilogram per Cubic Meter (Check conversion here)
Volume of the Core: 3 Cubic Centimeter --> 3E-06 Cubic Meter (Check conversion here)
Density of Core: 29.01 Kilogram per Cubic Centimeter --> 29010000 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_buoyant = (pi/4*(d_c^2-D^2)*h*δ-V_c*ρ_c)*[g] --> (pi/4*(0.0281^2-0.02^2)*0.0098*80000000-3E-06*29010000)*[g]

Evaluating ... ...

F_buoyant = 1499.17395793404

STEP 3: Convert Result to Output's Unit

1499.17395793404 Newton --> No Conversion Required

FINAL ANSWER

1499.17395793404 ≈ 1499.174 Newton <-- Buoyant Force

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Casting (Foundry) » Cores - Core Prints and Chaplets » Buoyant Force on Vertical Cores

Credits

Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

< 13 Cores - Core Prints and Chaplets Calculators

Buoyant Force on Vertical Cores

Go Buoyant Force = (pi/4*(Diameter of Core Print^2-Diameter of Cylinder^2)*Height of Core Print*Density of Metal-Volume of the Core*Density of Core)*[g]

Buoyant Force on Cylindrical Cores Placed Horizontally

Go Buoyant Force = pi/4*Diameter of Cylinder^2*[g]*Cylinder Height*(Density of Metal-Density of Core)

Metallostatic Forces Acting on Moulding Flasks

Go Metallostatic Force = [g]*Density of Metal*Projected Area in Parting plane*Head of Molten Metal

Density of Core Material

Go Density of Core = Density of Metal-Buoyant Force/(Volume of the Core*[g])

Volume of Core

Go Volume of the Core = Buoyant Force/(9.81*(Density of Metal-Density of Core))

Density of Molten Metal

Go Density of Metal = Buoyant Force/(Volume of the Core*9.81)+Density of Core

Buoyant Force on Cores

Go Buoyant Force = 9.81*Volume of the Core*(Density of Metal-Density of Core)

Chaplet Area

Go Chaplet Area = 29*(Buoyant Force-Empirical constant*Core Print Area)

Unsupported Load for Cores

Go Unsupported Load = Buoyant Force-Empirical constant*Core Print Area

Buoyant Force on Cores from Chaplet Area

Go Buoyant Force = Chaplet Area/29+Empirical constant*Core Print Area

Empirical Relation for Max. Permissible Buoyancy Force on given Core Print Area

Go Buoyant Force = Empirical constant*Core Print Area

Empirical Relation for Minimum Core Print Area

Go Core Print Area = Buoyant Force/Empirical constant

Chaplet Area from Unsupported Load

Go Chaplet Area = 29*Unsupported Load

Buoyant Force on Vertical Cores Formula

Buoyant Force = (pi/4*(Diameter of Core Print^2-Diameter of Cylinder^2)*Height of Core Print*Density of Metal-Volume of the Core*Density of Core)*[g]
F_buoyant = (pi/4*(d_c^2-D^2)*h*δ-V_c*ρ_c)*[g]

What to consider while designing cores for molding?

The design of core prints is such as to take care of the weight of the core before pouring and the upward metallostatic pressure of the molten metal after pouring. The core prints should also ensure that the core is not shifted during the entry of the metal into the mould cavity.

How to Calculate Buoyant Force on Vertical Cores?

Buoyant Force on Vertical Cores calculator uses Buoyant Force = (pi/4*(Diameter of Core Print^2-Diameter of Cylinder^2)*Height of Core Print*Density of Metal-Volume of the Core*Density of Core)*[g] to calculate the Buoyant Force, The Buoyant Force on Vertical Cores is the upward force exerted by the molten metal on core as it is poured in cavity. Buoyant Force is denoted by F_buoyant symbol.

How to calculate Buoyant Force on Vertical Cores using this online calculator? To use this online calculator for Buoyant Force on Vertical Cores, enter Diameter of Core Print (d_c), Diameter of Cylinder (D), Height of Core Print (h), Density of Metal (δ), Volume of the Core (V_c) & Density of Core (ρ_c) and hit the calculate button. Here is how the Buoyant Force on Vertical Cores calculation can be explained with given input values -> 13550.49 = (pi/4*(0.0281^2-0.02^2)*0.0098*80000000-3E-06*29010000)*[g].

FAQ

What is Buoyant Force on Vertical Cores?

The Buoyant Force on Vertical Cores is the upward force exerted by the molten metal on core as it is poured in cavity and is represented as F_buoyant = (pi/4*(d_c^2-D^2)*h*δ-V_c*ρ_c)*[g] or Buoyant Force = (pi/4*(Diameter of Core Print^2-Diameter of Cylinder^2)*Height of Core Print*Density of Metal-Volume of the Core*Density of Core)*[g]. Diameter of core print is the inside diameter of that part of mold where cores are to be placed, The Diameter of Cylinder is the maximum width of cylinder in transverse direction, Height of Core Print is the height of core print where the cores are held in place, Density of Metal is the mass per unit volume of the given metal, Volume of the core is the amount of space occupied by the core & Density of Core is the given density of core material.

How to calculate Buoyant Force on Vertical Cores?

The Buoyant Force on Vertical Cores is the upward force exerted by the molten metal on core as it is poured in cavity is calculated using Buoyant Force = (pi/4*(Diameter of Core Print^2-Diameter of Cylinder^2)*Height of Core Print*Density of Metal-Volume of the Core*Density of Core)*[g]. To calculate Buoyant Force on Vertical Cores, you need Diameter of Core Print (d_c), Diameter of Cylinder (D), Height of Core Print (h), Density of Metal (δ), Volume of the Core (V_c) & Density of Core (ρ_c). With our tool, you need to enter the respective value for Diameter of Core Print, Diameter of Cylinder, Height of Core Print, Density of Metal, Volume of the Core & Density of Core and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Buoyant Force?

In this formula, Buoyant Force uses Diameter of Core Print, Diameter of Cylinder, Height of Core Print, Density of Metal, Volume of the Core & Density of Core. We can use 4 other way(s) to calculate the same, which is/are as follows -

Buoyant Force = 9.81*Volume of the Core*(Density of Metal-Density of Core)
Buoyant Force = pi/4*Diameter of Cylinder^2*[g]*Cylinder Height*(Density of Metal-Density of Core)
Buoyant Force = Empirical constant*Core Print Area
Buoyant Force = Chaplet Area/29+Empirical constant*Core Print Area

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