Buoyant Force on Vertical Cores Calculator

✖Diameter of Core Print is the diameter of the protrusion on a pattern that forms an impression in the mold to hold the core in place during casting.ⓘ Diameter of Core Print [d_c]			+10% -10%
✖Diameter of Cylinder is the maximum width of cylinder in transverse direction.ⓘ Diameter of Cylinder [D]			+10% -10%
✖Height of Core Print is the vertical dimension of the projection on a pattern or core box that forms a seat for a core in a mold.ⓘ Height of Core Print [h]			+10% -10%
✖Density of Core Metal is the mass per unit volume of the given core metal in casting processes.ⓘ Density of Core Metal [ρ_cm]			+10% -10%
✖Volume of The Core is the total space occupied by the core material within the casting mold.ⓘ Volume of The Core [V_c]			+10% -10%
✖Density of Core is the mass per unit volume of the core material used in casting processes.ⓘ 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_b]

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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 Core Metal-Volume of The Core*Density of Core)*[g]
F_b = (pi/4*(d_c^2-D^2)*h*ρ_cm-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 diameter of the protrusion on a pattern that forms an impression in the mold to hold the core in place during casting.
Diameter of Cylinder - (Measured in Meter) - 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 vertical dimension of the projection on a pattern or core box that forms a seat for a core in a mold.
Density of Core Metal - (Measured in Kilogram per Cubic Meter) - Density of Core Metal is the mass per unit volume of the given core metal in casting processes.
Volume of The Core - (Measured in Cubic Meter) - Volume of The Core is the total space occupied by the core material within the casting mold.
Density of Core - (Measured in Kilogram per Cubic Meter) - Density of Core is the mass per unit volume of the core material used in casting processes.

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

Evaluating ... ...

F_b = 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 00.020 seconds)

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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

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< Cores Core Prints and Chaplets Calculators

Density of Core Material

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

Volume of Core

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

Density of Molten Metal

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

Buoyant Force on Cores

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

Buoyant Force on Vertical Cores Formula

LaTeX Go

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 Core 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_b 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 Core Metal (ρ_cm), 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 -> 1499.174 = (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_b = (pi/4*(d_c^2-D^2)*h*ρ_cm-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 Core Metal-Volume of The Core*Density of Core)*[g]. Diameter of Core Print is the diameter of the protrusion on a pattern that forms an impression in the mold to hold the core in place during casting, Diameter of Cylinder is the maximum width of cylinder in transverse direction, Height of Core Print is the vertical dimension of the projection on a pattern or core box that forms a seat for a core in a mold, Density of Core Metal is the mass per unit volume of the given core metal in casting processes, Volume of The Core is the total space occupied by the core material within the casting mold & Density of Core is the mass per unit volume of the core material used in casting processes.

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 Core 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 Core Metal (ρ_cm), 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 Core 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 Core Metal, Volume of The Core & Density of Core. We can use 3 other way(s) to calculate the same, which is/are as follows -

Buoyant Force = 9.81*Volume of The Core*(Density of Core Metal-Density of Core)
Buoyant Force = pi/4*Diameter of Cylinder^2*[g]*Cylinder Height*(Density of Core Metal-Density of Core)
Buoyant Force = Empirical Constant*Core Print Area

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