FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Diameter of Sphere given Resistance Force on Spherical Surface Formula

GoDiameter of Sphere for given Fall Velocity Formula

GoDiameter of Sphere given Coefficient of Drag Formula

Fx Copy

LaTeX Copy

The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere. Check FAQs

D S = \frac{F resistance}{3 \cdot π \cdot μ \cdot V mean}

D_S - Diameter of Sphere?F_resistance - Resistance Force?μ - Dynamic Viscosity?V_mean - Mean Velocity?π - Archimedes' constant?

Diameter of Sphere given Resistance Force on Spherical Surface Example

With values

With units

Only example

Here is how the Diameter of Sphere given Resistance Force on Spherical Surface equation looks like with Values.

Here is how the Diameter of Sphere given Resistance Force on Spherical Surface equation looks like with Units.

Here is how the Diameter of Sphere given Resistance Force on Spherical Surface equation looks like.

9.9903 = \frac{0.97}{3 \cdot 3.1416 \cdot 10.2 \cdot 10.1}

9.9903m = \frac{0.97kN}{3 \cdot 3.1416 \cdot 10.2P \cdot 10.1m/s}

9.9903 = \frac{0.97}{3 \cdot 3.1416 \cdot 10.2 \cdot 10.1}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Diameter of Sphere given Resistance Force on Spherical Surface

Diameter of Sphere given Resistance Force on Spherical Surface Solution

Follow our step by step solution on how to calculate Diameter of Sphere given Resistance Force on Spherical Surface?

FIRST Step Consider the formula

D S = \frac{F resistance}{3 \cdot π \cdot μ \cdot V mean}

Next Step Substitute values of Variables

∴

D S = \frac{0.97kN}{3 \cdot π \cdot 10.2P \cdot 10.1m/s}

Next Step Substitute values of Constants

∴

D S = \frac{0.97kN}{3 \cdot 3.1416 \cdot 10.2P \cdot 10.1m/s}

Next Step Convert Units

∴

D S = \frac{970N}{3 \cdot 3.1416 \cdot 1.02Pa*s \cdot 10.1m/s}

Next Step Prepare to Evaluate

∴

D S = \frac{970}{3 \cdot 3.1416 \cdot 1.02 \cdot 10.1}

Next Step Evaluate

∴

D S = 9.99031222410784m

LAST Step Rounding Answer

∴

D S = 9.9903m

Diameter of Sphere given Resistance Force on Spherical Surface Formula Elements

Variables

Constants

Diameter of Sphere

The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere.

Symbol: D_S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Sphere

Resistance Force

The Resistance Force Value is equal to the external load applied at equilibrium.

Symbol: F_resistance

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Resistance Force

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Mean Velocity

Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

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 to find Diameter of Sphere

Go Diameter of Sphere for given Fall Velocity

D S = \sqrt{\frac{V mean \cdot 18 \cdot μ}{γ f}}

Go Diameter of Sphere given Coefficient of Drag

D S = \frac{24 \cdot μ}{ρ \cdot V mean \cdot C D}

Other formulas in Laminar Flow around a Sphere Stokes’ Law category

Go Resistance Force on Spherical Surface

F resistance = 3 \cdot π \cdot μ \cdot V mean \cdot D S

Go Velocity of Sphere given Resistance Force on Spherical Surface

V mean = \frac{F resistance}{3 \cdot π \cdot μ \cdot D S}

Go Dynamic Viscosity of fluid given Resistance Force on Spherical Surface

μ = \frac{F resistance}{3 \cdot π \cdot D S \cdot V mean}

Go Resistance Force on Spherical Surface given Specific Weights

F resistance = (\frac{π}{6}) \cdot ({D S}^{3}) \cdot (γ f)

How to Evaluate Diameter of Sphere given Resistance Force on Spherical Surface?

Diameter of Sphere given Resistance Force on Spherical Surface evaluator uses Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity) to evaluate the Diameter of Sphere, The Diameter of Sphere given Resistance Force on Spherical Surface is defined as the sectional part of object in fluid. Diameter of Sphere is denoted by D_S symbol.

How to evaluate Diameter of Sphere given Resistance Force on Spherical Surface using this online evaluator? To use this online evaluator for Diameter of Sphere given Resistance Force on Spherical Surface, enter Resistance Force (F_resistance), Dynamic Viscosity (μ) & Mean Velocity (V_mean) and hit the calculate button.

FAQs on Diameter of Sphere given Resistance Force on Spherical Surface

What is the formula to find Diameter of Sphere given Resistance Force on Spherical Surface?

The formula of Diameter of Sphere given Resistance Force on Spherical Surface is expressed as Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity). Here is an example- 9.990312 = 970/(3*pi*1.02*10.1).

How to calculate Diameter of Sphere given Resistance Force on Spherical Surface?

With Resistance Force (F_resistance), Dynamic Viscosity (μ) & Mean Velocity (V_mean) we can find Diameter of Sphere given Resistance Force on Spherical Surface using the formula - Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity). This formula also uses Archimedes' constant .

What are the other ways to Calculate Diameter of Sphere?

Here are the different ways to Calculate Diameter of Sphere-

Diameter of Sphere=sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid))
Diameter of Sphere=(24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag)

Can the Diameter of Sphere given Resistance Force on Spherical Surface be negative?

No, the Diameter of Sphere given Resistance Force on Spherical Surface, measured in Length cannot be negative.

Which unit is used to measure Diameter of Sphere given Resistance Force on Spherical Surface?

Diameter of Sphere given Resistance Force on Spherical Surface 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 given Resistance Force on Spherical Surface can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit