Buoyant Force on Cylindrical Cores Placed Horizontally Solution

STEP 0: Pre-Calculation Summary
Formula Used
Buoyant Force = pi/4*Diameter of Cylinder^2*[g]*Cylinder Height*(Density of Core Metal-Density of Core)
Fb = pi/4*D^2*[g]*Hc*(ρcm-ρc)
This formula uses 2 Constants, 5 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 Cylinder - (Measured in Meter) - Diameter of Cylinder is the maximum width of cylinder in transverse direction.
Cylinder Height - (Measured in Meter) - Cylinder Height is the vertical dimension of a cylindrical-shaped casting.
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.
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 Cylinder: 2 Centimeter --> 0.02 Meter (Check conversion ​here)
Cylinder Height: 0.955 Centimeter --> 0.00955 Meter (Check conversion ​here)
Density of Core Metal: 80 Kilogram per Cubic Centimeter --> 80000000 Kilogram per 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
Fb = pi/4*D^2*[g]*Hc*(ρcmc) --> pi/4*0.02^2*[g]*0.00955*(80000000-29010000)
Evaluating ... ...
Fb = 1500.23375166793
STEP 3: Convert Result to Output's Unit
1500.23375166793 Newton --> No Conversion Required
FINAL ANSWER
1500.23375166793 1500.234 Newton <-- Buoyant Force
(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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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 Cylindrical Cores Placed Horizontally Formula

​LaTeX ​Go
Buoyant Force = pi/4*Diameter of Cylinder^2*[g]*Cylinder Height*(Density of Core Metal-Density of Core)
Fb = pi/4*D^2*[g]*Hc*(ρcm-ρc)

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 Cylindrical Cores Placed Horizontally?

Buoyant Force on Cylindrical Cores Placed Horizontally calculator uses Buoyant Force = pi/4*Diameter of Cylinder^2*[g]*Cylinder Height*(Density of Core Metal-Density of Core) to calculate the Buoyant Force, The buoyant force on cylindrical cores placed horizontally is the upward force exerted by a fluid on the cores when they are partially or fully submerged in the fluid. Buoyant Force is denoted by Fb symbol.

How to calculate Buoyant Force on Cylindrical Cores Placed Horizontally using this online calculator? To use this online calculator for Buoyant Force on Cylindrical Cores Placed Horizontally, enter Diameter of Cylinder (D), Cylinder Height (Hc), Density of Core Metal cm) & Density of Core c) and hit the calculate button. Here is how the Buoyant Force on Cylindrical Cores Placed Horizontally calculation can be explained with given input values -> 1500.234 = pi/4*0.02^2*[g]*0.00955*(80000000-29010000).

FAQ

What is Buoyant Force on Cylindrical Cores Placed Horizontally?
The buoyant force on cylindrical cores placed horizontally is the upward force exerted by a fluid on the cores when they are partially or fully submerged in the fluid and is represented as Fb = pi/4*D^2*[g]*Hc*(ρcmc) or Buoyant Force = pi/4*Diameter of Cylinder^2*[g]*Cylinder Height*(Density of Core Metal-Density of Core). Diameter of Cylinder is the maximum width of cylinder in transverse direction, Cylinder Height is the vertical dimension of a cylindrical-shaped casting, Density of Core Metal is the mass per unit volume of the given core metal in casting processes & Density of Core is the mass per unit volume of the core material used in casting processes.
How to calculate Buoyant Force on Cylindrical Cores Placed Horizontally?
The buoyant force on cylindrical cores placed horizontally is the upward force exerted by a fluid on the cores when they are partially or fully submerged in the fluid is calculated using Buoyant Force = pi/4*Diameter of Cylinder^2*[g]*Cylinder Height*(Density of Core Metal-Density of Core). To calculate Buoyant Force on Cylindrical Cores Placed Horizontally, you need Diameter of Cylinder (D), Cylinder Height (Hc), Density of Core Metal cm) & Density of Core c). With our tool, you need to enter the respective value for Diameter of Cylinder, Cylinder Height, Density of Core Metal & 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 Cylinder, Cylinder Height, Density of Core Metal & 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 Core Print^2-Diameter of Cylinder^2)*Height of Core Print*Density of Core Metal-Volume of The Core*Density of Core)*[g]
  • Buoyant Force = Empirical Constant*Core Print Area
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