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Diameter of Sphere in Falling Sphere Resistance Method Formula

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Diameter of Sphere is considered in the falling sphere resistance method. Check FAQs

d = \frac{F D}{3 \cdot π \cdot μ \cdot U}

d - Diameter of Sphere?F_D - Drag Force?μ - Viscosity of Fluid?U - Velocity of Sphere?π - Archimedes' constant?

Diameter of Sphere in Falling Sphere Resistance Method Example

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Here is how the Diameter of Sphere in Falling Sphere Resistance Method equation looks like with Values.

Here is how the Diameter of Sphere in Falling Sphere Resistance Method equation looks like with Units.

Here is how the Diameter of Sphere in Falling Sphere Resistance Method equation looks like.

0.25 = \frac{79.5051}{3 \cdot 3.1416 \cdot 8.23 \cdot 4.1}

0.25m = \frac{79.5051N}{3 \cdot 3.1416 \cdot 8.23N*s/m² \cdot 4.1m/s}

0.25 = \frac{79.5051}{3 \cdot 3.1416 \cdot 8.23 \cdot 4.1}

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Diameter of Sphere in Falling Sphere Resistance Method Solution

Follow our step by step solution on how to calculate Diameter of Sphere in Falling Sphere Resistance Method?

FIRST Step Consider the formula

d = \frac{F D}{3 \cdot π \cdot μ \cdot U}

Next Step Substitute values of Variables

∴

d = \frac{79.5051N}{3 \cdot π \cdot 8.23N*s/m² \cdot 4.1m/s}

Next Step Substitute values of Constants

∴

d = \frac{79.5051N}{3 \cdot 3.1416 \cdot 8.23N*s/m² \cdot 4.1m/s}

Next Step Convert Units

∴

d = \frac{79.5051N}{3 \cdot 3.1416 \cdot 8.23Pa*s \cdot 4.1m/s}

Next Step Prepare to Evaluate

∴

d = \frac{79.5051}{3 \cdot 3.1416 \cdot 8.23 \cdot 4.1}

Next Step Evaluate

∴

d = 0.249999997853721m

LAST Step Rounding Answer

∴

d = 0.25m

Diameter of Sphere in Falling Sphere Resistance Method Formula Elements

Variables

Constants

Diameter of Sphere

Diameter of Sphere is considered in the falling sphere resistance method.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Sphere

Drag Force

Drag Force is the resisting force experienced by an object moving through a fluid.

Symbol: F_D

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Drag Force

Viscosity of Fluid

The Viscosity of fluid is a measure of its resistance to deformation at a given rate.

Symbol: μ

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value can be positive or negative.

Formulas to find Viscosity of Fluid

Velocity of Sphere

Velocity of Sphere is considered in the falling sphere resistance method.

Symbol: U

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Sphere

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Dimensions and Geometry category

Go Diameter of Pipe from Maximum Velocity and Velocity at Any Radius

d o = \frac{2 \cdot r}{\sqrt{1 - \frac{V}{V m}}}

Go Length for Difference of Pressure in Viscous Flow between Two Parallel Plates

L = \frac{Δp \cdot t^{2}}{12 \cdot μ \cdot V}

Go Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates

L = \frac{ρ \cdot [g] \cdot h f \cdot t^{2}}{12 \cdot μ \cdot V}

Go Diameter of Shaft for Torque Required in Foot-Step Bearing

D s = 2 \cdot {(\frac{τ \cdot t}{π^{2} \cdot μ \cdot N})}^{\frac{1}{4}}

How to Evaluate Diameter of Sphere in Falling Sphere Resistance Method?

Diameter of Sphere in Falling Sphere Resistance Method evaluator uses Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere) to evaluate the Diameter of Sphere, Diameter of Sphere in Falling Sphere Resistance Method is determined by a formula that relates it to the viscosity of the fluid, the density of the sphere, the acceleration due to gravity, and the terminal velocity of the sphere in the fluid. This method is used to measure the viscosity of fluids by observing the rate at which a sphere falls through the fluid and reaches a steady velocity. Diameter of Sphere is denoted by d symbol.

How to evaluate Diameter of Sphere in Falling Sphere Resistance Method using this online evaluator? To use this online evaluator for Diameter of Sphere in Falling Sphere Resistance Method, enter Drag Force (F_D), Viscosity of Fluid (μ) & Velocity of Sphere (U) and hit the calculate button.

FAQs on Diameter of Sphere in Falling Sphere Resistance Method

What is the formula to find Diameter of Sphere in Falling Sphere Resistance Method?

The formula of Diameter of Sphere in Falling Sphere Resistance Method is expressed as Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere). Here is an example- 0.251556 = 79.50507/(3*pi*8.23*4.1).

How to calculate Diameter of Sphere in Falling Sphere Resistance Method?

With Drag Force (F_D), Viscosity of Fluid (μ) & Velocity of Sphere (U) we can find Diameter of Sphere in Falling Sphere Resistance Method using the formula - Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere). This formula also uses Archimedes' constant .

Can the Diameter of Sphere in Falling Sphere Resistance Method be negative?

No, the Diameter of Sphere in Falling Sphere Resistance Method, measured in Length cannot be negative.

Which unit is used to measure Diameter of Sphere in Falling Sphere Resistance Method?

Diameter of Sphere in Falling Sphere Resistance Method is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Sphere in Falling Sphere Resistance Method can be measured.

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Diameter of Sphere in Falling Sphere Resistance Method Formula

Diameter of Sphere in Falling Sphere Resistance Method Example

Diameter of Sphere in Falling Sphere Resistance Method Solution

Diameter of Sphere in Falling Sphere Resistance Method Formula Elements

Other formulas in Dimensions and Geometry category

How to Evaluate Diameter of Sphere in Falling Sphere Resistance Method?

FAQs on Diameter of Sphere in Falling Sphere Resistance Method

Variable Name