Initial Angular Velocity Calculator

✖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 of Object [ω_fi]			+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%

✖Initial Angular Velocity of Object undergoing curvilinear motion is calculated concerning time and acceleration.ⓘ Initial Angular Velocity [ω_in]

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Initial Angular Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Initial Angular Velocity of Object - (Measured in Radian per Second) - Initial Angular Velocity of Object undergoing curvilinear motion is calculated concerning time and acceleration.
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.
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

Final Angular Velocity of Object: 48 Radian per Second --> 48 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_in = ω_fi-α_cm*t_cm --> 48-8*3

Evaluating ... ...

ω_in = 24

STEP 3: Convert Result to Output's Unit

24 Radian per Second --> No Conversion Required

FINAL ANSWER

24 Radian per Second <-- Initial Angular Velocity of Object

(Calculation completed in 00.004 seconds)

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Credits

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

Initial Angular Velocity Formula

LaTeX Go

Initial Angular Velocity of Object = Final Angular Velocity of Object-Angular Acceleration*Time Period
ω_in = ω_fi-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 Initial Angular Velocity?

Initial Angular Velocity calculator uses Initial Angular Velocity of Object = Final Angular Velocity of Object-Angular Acceleration*Time Period to calculate the Initial Angular Velocity of Object, Initial Angular Velocity formula is defined as the measure of the rate of change of angular displacement of an object with respect to time, describing the rotational motion of an object around a fixed axis, providing insights into the object's rotational kinematics. Initial Angular Velocity of Object is denoted by ω_in symbol.

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

FAQ

What is Initial Angular Velocity?

Initial Angular Velocity formula is defined as the measure of the rate of change of angular displacement of an object with respect to time, describing the rotational motion of an object around a fixed axis, providing insights into the object's rotational kinematics and is represented as ω_in = ω_fi-α_cm*t_cm or Initial Angular Velocity of Object = Final Angular Velocity of Object-Angular Acceleration*Time Period. Final Angular Velocity of Object refers to the angular velocity (rate of rotation) of the object at the end of a given time interval, 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 Initial Angular Velocity?

Initial Angular Velocity formula is defined as the measure of the rate of change of angular displacement of an object with respect to time, describing the rotational motion of an object around a fixed axis, providing insights into the object's rotational kinematics is calculated using Initial Angular Velocity of Object = Final Angular Velocity of Object-Angular Acceleration*Time Period. To calculate Initial Angular Velocity, you need Final Angular Velocity of Object (ω_fi), Angular Acceleration (α_cm) & Time Period (t_cm). With our tool, you need to enter the respective value for Final 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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