Final Angular Velocity Calculator

✖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 the duration of time it takes for a repeating event or cycle to complete one full cycle.ⓘ Time Period [t_cm]			+10% -10%

✖Final Angular Velocity of Object refers to the angular velocity (rate of rotation) of the object at the end of a given time interval.ⓘ Final Angular Velocity [ω_fi]

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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) - Final Angular Velocity of Object refers to the angular velocity (rate of rotation) of the object at the end of a given time interval.
Initial Angular Velocity of Object - (Measured in Radian per Second) - 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 the duration of time it takes for a repeating event or cycle to complete one full cycle.

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!

< Curvilinear Motion Calculators

Final Angular Velocity

LaTeX Go Final Angular Velocity of Object = Initial Angular Velocity of Object+Angular Acceleration*Time Period

Angular Acceleration given Linear Acceleration

LaTeX Go Angular Acceleration = Acceleration For Curvilinear Motion/Radius

Angular Velocity given Linear Velocity

LaTeX Go Angular Velocity = Velocity of Curvilinear Motion/Radius

Angular Velocity of Body Moving in Circle

LaTeX Go Angular Velocity = Angular Displacement/Time Period

Final Angular Velocity Formula

LaTeX Go

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, Final Angular Velocity formula is defined as the measure of an object's rotational speed at the end of a time period, describing the change in its angular displacement with respect to time, considering the initial angular velocity and angular acceleration. 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?

Final Angular Velocity formula is defined as the measure of an object's rotational speed at the end of a time period, describing the change in its angular displacement with respect to time, considering the initial angular velocity and angular acceleration 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. 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 the duration of time it takes for a repeating event or cycle to complete one full cycle.

How to calculate Final Angular Velocity?

Final Angular Velocity formula is defined as the measure of an object's rotational speed at the end of a time period, describing the change in its angular displacement with respect to time, considering the initial angular velocity and angular acceleration 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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