Final Angular Velocity Calculator

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✖The Initial angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration.ⓘ Initial angular velocity of object [ω_in]			+10% -10%
✖Angular Acceleration is defined as the rate of change of angular velocity.ⓘ Angular Acceleration [α_cm]			+10% -10%
✖Time Period is what a clock reads, it is a scalar quantity.ⓘ Time Period [t_cm]			+10% -10%

✖The final angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration.ⓘ Final Angular Velocity [ω_fi]

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Formula

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Final Angular Velocity

Formula

`"ω"_{"fi"} = "ω"_{"in"}+"α"_{"cm"}*"t"_{"cm"}`

Example

`"48rad/s"="24rad/s"+"8rad/s²"*"3s"`

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Final Angular Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Final Angular Velocity of Object = Initial angular velocity of object+Angular Acceleration*Time Period
ω_fi = ω_in+α_cm*t_cm
This formula uses 4 Variables

Variables Used

Final Angular Velocity of Object - (Measured in Radian per Second) - The final angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration.
Initial angular velocity of object - (Measured in Radian per Second) - The Initial angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration.
Angular Acceleration - (Measured in Radian per Square Second) - Angular Acceleration is defined as the rate of change of angular velocity.
Time Period - (Measured in Second) - Time Period is what a clock reads, it is a scalar quantity.

STEP 1: Convert Input(s) to Base Unit

Initial angular velocity of object: 24 Radian per Second --> 24 Radian per Second No Conversion Required
Angular Acceleration: 8 Radian per Square Second --> 8 Radian per Square Second No Conversion Required
Time Period: 3 Second --> 3 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_fi = ω_in+α_cm*t_cm --> 24+8*3

Evaluating ... ...

ω_fi = 48

STEP 3: Convert Result to Output's Unit

48 Radian per Second --> No Conversion Required

FINAL ANSWER

48 Radian per Second <-- Final Angular Velocity of Object

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

< 11 Curvilinear Motion Calculators

Angular Displacement given Angular Acceleration

Go Angular Displacement = Initial angular velocity of object*Time Period+1/2*Angular Acceleration*Time Period^2

Initial Angular Velocity

Go Initial angular velocity of object = Final Angular Velocity of Object-Angular Acceleration*Time Period

Final Angular Velocity

Go Final Angular Velocity of Object = Initial angular velocity of object+Angular Acceleration*Time Period

Average Angular Velocity

Go Angular Velocity = (Initial angular velocity of object+Final Angular Velocity of Object)/2

Radius of Curvilinear Motion given Linear Acceleration

Go Radius = Acceleration for Curvilinear Motion/Angular Acceleration

Angular Acceleration given Linear Acceleration

Go Angular Acceleration = Acceleration for Curvilinear Motion/Radius

Linear Acceleration in Curvilinear Motion

Go Acceleration for Curvilinear Motion = Angular Acceleration*Radius

Velocity in Curvilinear Motion given Angular Velocity

Go Velocity of Curvilinear Motion = Angular Velocity*Radius

Radius of Curvilinear Motion given Angular velocity

Go Radius = Velocity of Curvilinear Motion/Angular Velocity

Angular Velocity given Linear Velocity

Go Angular Velocity = Velocity of Curvilinear Motion/Radius

Angular Velocity of Body Moving in Circle

Go Angular Velocity = Angular Displacement/Time Period

Final Angular Velocity Formula

Final Angular Velocity of Object = Initial angular velocity of object+Angular Acceleration*Time Period
ω_fi = ω_in+α_cm*t_cm

What is angular velocity?

Angular velocity is the rate of velocity at which an object or a particle is rotating around a center or a specific point in a given time period.

How to Calculate Final Angular Velocity?

Final Angular Velocity calculator uses Final Angular Velocity of Object = Initial angular velocity of object+Angular Acceleration*Time Period to calculate the Final Angular Velocity of Object, The Final angular velocity formula is defined as the sum of initial angular velocity and product of angular acceleration, time. Final Angular Velocity of Object is denoted by ω_fi symbol.

How to calculate Final Angular Velocity using this online calculator? To use this online calculator for Final Angular Velocity, enter Initial angular velocity of object (ω_in), Angular Acceleration (α_cm) & Time Period (t_cm) and hit the calculate button. Here is how the Final Angular Velocity calculation can be explained with given input values -> 48 = 24+8*3.

FAQ

What is Final Angular Velocity?

The Final angular velocity formula is defined as the sum of initial angular velocity and product of angular acceleration, time and is represented as ω_fi = ω_in+α_cm*t_cm or Final Angular Velocity of Object = Initial angular velocity of object+Angular Acceleration*Time Period. The Initial angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration, Angular Acceleration is defined as the rate of change of angular velocity & Time Period is what a clock reads, it is a scalar quantity.

How to calculate Final Angular Velocity?

The Final angular velocity formula is defined as the sum of initial angular velocity and product of angular acceleration, time is calculated using Final Angular Velocity of Object = Initial angular velocity of object+Angular Acceleration*Time Period. To calculate Final Angular Velocity, you need Initial angular velocity of object (ω_in), Angular Acceleration (α_cm) & Time Period (t_cm). With our tool, you need to enter the respective value for Initial angular velocity of object, Angular Acceleration & Time Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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