The image above represents newton’s drag force for turbulent resistance. To calculate newton’s drag force for turbulent resistance, three essential parameters are needed and these parameters are **Particle Diameter (d), Terminal Velocity (v) **and **Density of Fluid (ρ _{f}).**

**The formula for calculating newton’s drag force for turbulent resistance:**

D = 0.055π.d²v²ρ_{f}

Where:

D = Newton’s Drag Force for Turbulent Resistance

d = Particle Diameter

v = Terminal Velocity

ρ_{f} = Density of Fluid

Let’s solve an example;

Find the newton’s drag force for turbulent resistance when the particle diameter is 8, the terminal velocity is 4 and the density of fluid is 2.

This implies that;

d = Particle Diameter = 8

v = Terminal Velocity = 4

ρ_{f} = Density of Fluid = 2

D = 0.055π.d²v²ρ_{f}

D = 0.055π.(8)²(4)²(2)

That is, D = 0.055π.(64)(16)(2)

D = 0.055π.(2048)

D = 353.86

Therefore, the **newton’s drag force for turbulent resistance **is **353.86 N.**

Read more: How to Calculate and Solve for Velocity at Turbulent Flow | Mineral Processing

**Calculating the Particle Diameter when the Newton’s Drag Force for Turbulent Resistance, the Terminal Velocity and the Density of Fluid are Given**

d = √(^{D} / _{0.055π.v²ρf})

Where:

d = Particle Diameter

D = Newton’s Drag Force for Turbulent Resistance

v = Terminal Velocity

ρ_{f} = Density of Fluid

Let’s solve an example;

Find the particle diameter when the newton’s drag force for turbulent resistance is 42, the terminal velocity is 2 and the density of fluid is 4.

This implies that;

D = Newton’s Drag Force for Turbulent Resistance = 42

v = Terminal Velocity = 2

ρ_{f} = Density of Fluid = 4

d = √(^{D} / _{0.055π.v²ρf})

That is, d = √(^{42} / _{0.055π.(2²)(4)})

d = √(^{42} / _{0.055π.16})

d = √(^{42} / _{2.76})

So, d = √15.2

d = 3.89

Therefore, the **particle diameter **is **3.89.**

Read more: How to Calculate and Solve for Velocity of Fine Particles | Mineral Processing

**Calculating the Terminal Velocity when the Newton’s Drag Force for Turbulent Resistance, the Particle Diameter and the Density of Fluid are Given**

v = √(^{D} / _{0.055π.d²ρf})

Where:

v = Terminal Velocity

D = Newton’s Drag Force for Turbulent Resistance

d = Particle Diameter

ρ_{f} = Density of Fluid

Let’s solve an example;

Find the terminal velocity when the newton’s drag force for turbulent resistance is 50, the particle diameter is 5 and the density of fluid is 2.

This implies that;

D = Newton’s Drag Force for Turbulent Resistance = 50

d = Particle Diameter = 5

ρ_{f} = Density of Fluid = 2

v = √(^{D} / _{0.055π.d²ρf})

Then, v = √(^{50} / _{0.055π.(5²)(2)})

v = √(^{50} / _{0.055π.50})

v = √(^{50} / _{8.64})

So, v = √5.78

v = 2.40

Therefore, the **terminal velocity **is **2.40.**

**Calculating the Density of Fluid when the Newton’s Drag Force for Turbulent Resistance, the Particle Diameter and the Terminal Velocity are Given**

ρ_{f} = ^{D} / _{0.055π.d²v²}

Where:

ρ_{f} = Density of Fluid

D = Newton’s Drag Force for Turbulent Resistance

d = Particle Diameter

v = Terminal Velocity

Let’s solve an example;

Find the density of fluid when the newton’s drag force for turbulent resistance is 35, the particle diameter is 6 and the terminal velocity is 3.

This implies that;

D = Newton’s Drag Force for Turbulent Resistance = 35

d = Particle Diameter = 6

v = Terminal Velocity = 3

ρ_{f} = ^{D} / _{0.055π.d²v²}

This means, ρ_{f} = ^{35} / _{0.055π.(6²)(3²)}

ρ_{f} = ^{35} / _{0.055π.(36)(9)}

ρ_{f} = ^{35} / _{0.055π.324}

So, ρ_{f} = ^{35} / _{55.9}

ρ_{f} = 0.626

Therefore, the **density of fluid **is **0.626.**

**How to Calculate Newton’s Drag Force for Turbulent Resistance Using Nickzom Calculator**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the newton’s drag force for turbulent resistance.

To get the answer and workings of the newton’s drag force for turbulent resistance using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

To get access to the **professional **version via web, you need to **register** and **subscribe **to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Materials and Metallurgical **under **Engineering****.**

Now, Click on **Mineral Processing **under **Materials and Metallurgical**

Now, Click on **Newton’s Drag Force for Turbulent Resistance** under **Mineral Processing**

The screenshot below displays the page or activity to enter your values, to get the answer for the newton’s drag force for turbulent resistance according to the respective parameter which is the **Particle Diameter (d), Terminal Velocity (v) **and **Density of Fluid (ρ _{f}).**

Now, enter the values appropriately and accordingly for the parameters as required by the **Particle Diameter (d)** is **8**,** Terminal Velocity (v)** is **4 **and **Density of Fluid (ρ _{f})** is

**2**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves for the newton’s drag force for turbulent resistance and presents the formula, workings and steps too.