Total drag force on a sphere Calculator

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Physics	Fluid Mechanics ↺
Fluid Mechanics	Forces on sub-merged bodies ↺

✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%
✖The Diameter of Sphere is considered in the falling sphere resistance method.ⓘ Diameter of Sphere [d]			+10% -10%
✖Flow Velocity is the velocity of the flow of any fluid.ⓘ Flow Velocity [V]			+10% -10%

✖Drag Force is the resisting force experienced by an object moving through a fluid.ⓘ Total drag force on a sphere [F_D]

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Calculator and 200+ more calculators!

Total drag force on a sphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

Drag Force = 3*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity
F_D = 3*pi*μ*d*V
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Viscosity of Fluid - The Viscosity of fluid is a measure of its resistance to deformation at a given rate. (Measured in Newton Second per Meter²)
Diameter of Sphere - The Diameter of Sphere is considered in the falling sphere resistance method. (Measured in Meter)
Flow Velocity - Flow Velocity is the velocity of the flow of any fluid. (Measured in Meter per Second)

STEP 1: Convert Input(s) to Base Unit

Viscosity of Fluid: 10 Newton Second per Meter² --> 10 Pascal Second (Check conversion here)
Diameter of Sphere: 0.25 Meter --> 0.25 Meter No Conversion Required
Flow Velocity: 1 Meter per Second --> 1 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_D = 3*pi*μ*d*V --> 3*pi*10*0.25*1

Evaluating ... ...

F_D = 23.5619449019234

STEP 3: Convert Result to Output's Unit

23.5619449019234 Newton --> No Conversion Required

FINAL ANSWER

23.5619449019234 Newton <-- Drag Force

(Calculation completed in 00.015 seconds)

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< 10+ Forces on sub-merged bodies Calculators

Location of stagnation points for a rotating cylinder in a uniform flow field

Angle at stagnation point = -asin(Circulation/(4*pi*Freestream Velocity*Cylinder Radius)) Go

Skin friction drag from total drag force on a sphere

Skin friction drag force = 2*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity Go

Area of the body for lift force in body moving on fluid

Reference Area = Lift force/(Lift Coefficient*0.5*Density of Fluid*(Velocity^2)) Go

Pressure drag from total drag force on a sphere

Pressure drag force = pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity Go

Length of the cylinder for lift force on a cylinder

Length of Cylinder = Lift force/(Density*Circulation*Freestream Velocity) Go

Drag force for a body moving in a fluid of certain density

Drag Force = Coefficient of drag*Area of Surface*Density*(Velocity^2)/2 Go

Lift force on a cylinder for circulation

Lift force = Density*Length of Cylinder*Circulation*Freestream Velocity Go

Total drag force on a sphere

Drag Force = 3*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity Go

Lift force for a body moving in a fluid of certain density

Lift Force = Lift Coefficient*Reference Area*Density*(Velocity^2)/2 Go

Radius of cylinder for lift coefficient in a rotating cylinder with circulation

Cylinder Radius = Circulation/(Lift Coefficient*Freestream Velocity) Go

Total drag force on a sphere Formula

Drag Force = 3*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity
F_D = 3*pi*μ*d*V

What is lift force?

A fluid flowing around the surface of an object exerts a force on it. Lift is the component of this force that is perpendicular to the oncoming flow direction. It contrasts with the drag force, which is the component of the force parallel to the flow direction.

What is lift coefficient?

The lift coefficient (CL) is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity, and an associated reference area.

How to Calculate Total drag force on a sphere?

Total drag force on a sphere calculator uses Drag Force = 3*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity to calculate the Drag Force, The Total drag force on a sphere formula is known while considering the viscosity of the fluid, the diameter of the sphere, and the flow velocity of the fluid over the sphere. Drag Force is denoted by F_D symbol.

How to calculate Total drag force on a sphere using this online calculator? To use this online calculator for Total drag force on a sphere, enter Viscosity of Fluid (μ), Diameter of Sphere (d) & Flow Velocity (V) and hit the calculate button. Here is how the Total drag force on a sphere calculation can be explained with given input values -> 23.56194 = 3*pi*10*0.25*1.

FAQ

What is Total drag force on a sphere?

The Total drag force on a sphere formula is known while considering the viscosity of the fluid, the diameter of the sphere, and the flow velocity of the fluid over the sphere and is represented as F_D = 3*pi*μ*d*V or Drag Force = 3*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity. The Viscosity of fluid is a measure of its resistance to deformation at a given rate, The Diameter of Sphere is considered in the falling sphere resistance method & Flow Velocity is the velocity of the flow of any fluid.

How to calculate Total drag force on a sphere?

The Total drag force on a sphere formula is known while considering the viscosity of the fluid, the diameter of the sphere, and the flow velocity of the fluid over the sphere is calculated using Drag Force = 3*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity. To calculate Total drag force on a sphere, you need Viscosity of Fluid (μ), Diameter of Sphere (d) & Flow Velocity (V). With our tool, you need to enter the respective value for Viscosity of Fluid, Diameter of Sphere & Flow Velocity 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 Drag Force?

In this formula, Drag Force uses Viscosity of Fluid, Diameter of Sphere & Flow Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Drag Force = Coefficient of drag*Area of Surface*Density*(Velocity^2)/2
Drag Force = (Coefficient of drag*Area of Surface*Mass of water*(Uniform flow velocity)^2)/(Volume of water*2)

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