The image above represents velocity. To calculate velocity, three essential parameters are needed and these parameters are **angular velocity (Ï‰), amplitude (A)Â **andÂ **displacement (y).**

The formula for calculating velocity:

v = Ï‰âˆš(AÂ² – yÂ²)

Where;

v = Velocity

Ï‰ = Angular Velocity

A = Amplitude

y = Displacement

Let’s solve an example;

Find the velocity when the angular velocity is 7, amplitude is 10 and displacement is 13.

This implies that;

Ï‰ = Angular Velocity = 7

A = Amplitude = 10

y = Displacement = 13

v = Ï‰âˆš(AÂ² – yÂ²)

So, v = 7 x âˆš(10Â² – 13Â²)

v = 7 x âˆš(100 – 169)

v = 7 x âˆš(-69)

i signifies a complex number = âˆš(-1).

Then, v = 7 x âˆš(69) x âˆš(-1)

v = 7 x âˆš(69)i

That is, v = 7 x 8.30i

v = 7(8.30i)

Therefore, theÂ **velocityÂ **isÂ **7(8.30i) m/s.**

**Calculating the Angular Velocity when the Velocity, the Amplitude and the Displacement are Given**

Ï‰ = ^{v} / _{âˆš(A2 – y2)}

Where;

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Ï‰ = Angular Velocity

v = Velocity

A = Amplitude

y = Displacement

Let’s solve an example;

Find the angular velocity when the velocity is 28, the amplitude is 14, and the displacement is 10.

This implies that;

v = Velocity = 28

A = Amplitude = 14

y = Displacement = 10

Ï‰ = ^{v} / _{âˆš(A2 – y2)}

Ï‰ = ^{28} / _{âˆš(142 – 102)}

So, Ï‰ = ^{28} / _{âˆš(196 – 100)}

Ï‰ = ^{28} / _{âˆš(96)}

That is, Ï‰ = ^{28} / _{9.79}

Ï‰ = 2.86

Therefore, theÂ **angular velocityÂ **isÂ **2.86.**

Read more:Â How to Calculate and Solve for Recoil Velocity | Motion

**Calculating the Amplitude when the Velocity, the Angular Velocity and the Displacement are Given**

A = âˆš(^{v2} / _{Ï‰2} + y^{2})

Where;

A = Amplitude

v = Velocity

Ï‰ = Angular Velocity

y = Displacement

Let’s solve an example;

Find the amplitude when the velocity is 20, the angular velocity is 8 and the displacement is 4.

This implies that;

v = Velocity = 20

Ï‰ = Angular Velocity = 8

y = Displacement = 4

A = âˆš(^{v2} / _{Ï‰2} + y^{2})

So, A = âˆš(^{202} / _{82} + 4^{2})

A = âˆš(^{400} / _{64} + 16)

A = âˆš(6.25 + 16)

Then, A = âˆš22.25

A = 4.716

Therefore, theÂ **amplitudeÂ **isÂ **4.716.**

**Calculating the Displacement when the Velocity, the Angular Velocity and the Amplitude are Given**

y = âˆš(A^{2} – ^{v2} / _{Ï‰2})

Where;

y = Displacement

v = Velocity

Ï‰ = Angular Velocity

A = Amplitude

Let’s solve an example;

Find the displacement when the velocity is 30, the angular velocity is 25 and the amplitude is 12.

This implies that;

v = Velocity = 30

Ï‰ = Angular Velocity = 25

A = Amplitude = 12

y = âˆš(A^{2} – ^{v2} / _{Ï‰2})

So, y = âˆš(12^{2} – ^{302} / _{252})

y = âˆš(144 – ^{900} / _{625})

y = âˆš(144 – 1.44)

Then, y = âˆš142.56

y = 11.939

Therefore, theÂ **displacementÂ **isÂ **11.939.**

**How to Calculate and Solve for Velocity Using Nickzom Calculator**

Nickzom Calculator â€“Â **The Calculator Encyclopedia** is capable of calculating the velocity.

To get the answer and workings of the velocity using the **Nickzom Calculator â€“ The Calculator Encyclopedia.Â **First, you need to obtain the app.

You can get this app via any of these means:

**Web**Â â€“Â https://www.nickzom.org/calculator-plus

To get access to theÂ **professionalÂ **version via web, you need toÂ **register**Â andÂ **subscribeÂ **for**Â NGN 1,500Â **per**Â annum**Â to have utter access to all functionalities.

You can also try theÂ **demoÂ **version viaÂ https://www.nickzom.org/calculator

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

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

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

Once, you have obtained the calculator encyclopedia app, proceed to theÂ **Calculator Map,Â **then click onÂ **Motion****Â **underÂ **Physics****.**

Now, Click on **Velocity****Â **underÂ **Motion**

The screenshot below displays the page or activity to enter your values, to get the answer for the angular velocity according to the respective parameters which are the **angular velocity (Ï‰), amplitude (A)Â **andÂ **displacement (y).**

Now, enter the values appropriately and accordingly for the parameters as required by the Â **angular velocity (Ï‰)** is **10**,** amplitude (A)** is **10 **and **displacement (y)** is **13**.

Finally, Click on Calculate

As you can see from the screenshot above,Â **Nickzom Calculator**â€“ The Calculator Encyclopedia solves for the velocity and presents the formula, workings and steps too.