Density of Fluid in Falling Sphere Resistance Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g])
ρ = FB/(pi/6*d^3*[g])
This formula uses 2 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).
Buoyant Force - (Measured in Newton) - Buoyant Force is the upward force exerted by any fluid upon a body placed in it.
Diameter of Sphere - (Measured in Meter) - Diameter of Sphere is considered in the falling sphere resistance method.
STEP 1: Convert Input(s) to Base Unit
Buoyant Force: 79 Newton --> 79 Newton No Conversion Required
Diameter of Sphere: 0.25 Meter --> 0.25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρ = FB/(pi/6*d^3*[g]) --> 79/(pi/6*0.25^3*[g])
Evaluating ... ...
ρ = 984.663336335188
STEP 3: Convert Result to Output's Unit
984.663336335188 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
984.663336335188 984.6633 Kilogram per Cubic Meter <-- Density of Liquid
(Calculation completed in 00.007 seconds)

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PSG College of Technology (PSGCT), Coimbatore
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Fluid Flow and Resistance Calculators

Discharge in Capillary Tube Method
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​ LaTeX ​ Go Shear Force = (pi^2*Viscosity of Fluid*Mean Speed in RPM*Length of Pipe*Shaft Diameter^2)/(Thickness of Oil Film)
Shear Stress in Fluid or Oil of Journal Bearing
​ LaTeX ​ Go Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film)
Drag Force in Falling Sphere Resistance Method
​ LaTeX ​ Go Drag Force = 3*pi*Viscosity of Fluid*Velocity of Sphere*Diameter of Sphere

Density of Fluid in Falling Sphere Resistance Method Formula

​LaTeX ​Go
Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g])
ρ = FB/(pi/6*d^3*[g])

How Stoke's law is related here?

Stoke's law is the basis of the falling sphere viscometer, in which the fluid is stationary in a vertical glass tube. A sphere of known size and density is allowed to descend through the liquid.

What is buoyant force in viscous flow?

The buoyant force is a force act exactly opposite to gravitational force. The slower velocity of the ball moving thru liquid is due to the drag of viscous fluid. When we say weightlessness of the ball, it only means there is no force acting on the mass externally.

How to Calculate Density of Fluid in Falling Sphere Resistance Method?

Density of Fluid in Falling Sphere Resistance Method calculator uses Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g]) to calculate the Density of Liquid, Density of Fluid in Falling Sphere Resistance Method, the density of the fluid is the mass per unit volume of the fluid. It is used to calculate the buoyant force acting on the sphere and is essential for determining the fluid's viscosity from the sphere's terminal velocity. Density of Liquid is denoted by ρ symbol.

How to calculate Density of Fluid in Falling Sphere Resistance Method using this online calculator? To use this online calculator for Density of Fluid in Falling Sphere Resistance Method, enter Buoyant Force (FB) & Diameter of Sphere (d) and hit the calculate button. Here is how the Density of Fluid in Falling Sphere Resistance Method calculation can be explained with given input values -> 984.6633 = 79/(pi/6*0.25^3*[g]).

FAQ

What is Density of Fluid in Falling Sphere Resistance Method?
Density of Fluid in Falling Sphere Resistance Method, the density of the fluid is the mass per unit volume of the fluid. It is used to calculate the buoyant force acting on the sphere and is essential for determining the fluid's viscosity from the sphere's terminal velocity and is represented as ρ = FB/(pi/6*d^3*[g]) or Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g]). Buoyant Force is the upward force exerted by any fluid upon a body placed in it & Diameter of Sphere is considered in the falling sphere resistance method.
How to calculate Density of Fluid in Falling Sphere Resistance Method?
Density of Fluid in Falling Sphere Resistance Method, the density of the fluid is the mass per unit volume of the fluid. It is used to calculate the buoyant force acting on the sphere and is essential for determining the fluid's viscosity from the sphere's terminal velocity is calculated using Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g]). To calculate Density of Fluid in Falling Sphere Resistance Method, you need Buoyant Force (FB) & Diameter of Sphere (d). With our tool, you need to enter the respective value for Buoyant Force & Diameter of Sphere 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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