Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time Calculator

✖Initial angular velocity is the velocity at which motion starts.ⓘ Initial Angular Velocity [ω_o]			+10% -10%
✖Angular acceleration refers to the time rate of change of angular velocity.ⓘ Angular Acceleration [α]			+10% -10%
✖Time Taken to Travel the Path is the total time taken by an object to reach its destination.ⓘ Time Taken to Travel the Path [t]			+10% -10%

✖Final Angular Velocity is velocity after covering the required angular displacement in time t.ⓘ Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time [ω₁]

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Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time

Formula

`"ω"_{"1"} = "ω"_{"o"}+"α"*"t"`

Example

`"23.6rad/s"="14rad/s"+"1.6rad/s²"*"6s"`

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Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Final Angular Velocity = Initial Angular Velocity+Angular Acceleration*Time Taken to Travel the Path
ω₁ = ω_o+α*t
This formula uses 4 Variables

Variables Used

Final Angular Velocity - (Measured in Radian per Second) - Final Angular Velocity is velocity after covering the required angular displacement in time t.
Initial Angular Velocity - (Measured in Radian per Second) - Initial angular velocity is the velocity at which motion starts.
Angular Acceleration - (Measured in Radian per Square Second) - Angular acceleration refers to the time rate of change of angular velocity.
Time Taken to Travel the Path - (Measured in Second) - Time Taken to Travel the Path is the total time taken by an object to reach its destination.

STEP 1: Convert Input(s) to Base Unit

Initial Angular Velocity: 14 Radian per Second --> 14 Radian per Second No Conversion Required
Angular Acceleration: 1.6 Radian per Square Second --> 1.6 Radian per Square Second No Conversion Required
Time Taken to Travel the Path: 6 Second --> 6 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω₁ = ω_o+α*t --> 14+1.6*6

Evaluating ... ...

ω₁ = 23.6

STEP 3: Convert Result to Output's Unit

23.6 Radian per Second --> No Conversion Required

FINAL ANSWER

23.6 Radian per Second <-- Final Angular Velocity

(Calculation completed in 00.020 seconds)

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< 18 Kinematics Calculators

Angular Displacement given Initial Angular Velocity Angular Acceleration and Time

Go Angular Displacement = Initial Angular Velocity*Time Taken to Travel the Path+(Angular Acceleration*Time Taken to Travel the Path^2)/2

Displacement of Body given Initial Velocity Acceleration and Time

Go Displacement of Body = Initial Velocity*Time Taken to Travel the Path+(Acceleration of Body*Time Taken to Travel the Path^2)/2

Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time

Go Angular Displacement = ((Initial Angular Velocity+Final Angular Velocity)/2)*Time Taken to Travel the Path

Angular Displacement of Body for given Initial and Final Angular Velocity

Go Angular Displacement = (Final Angular Velocity^2-Initial Angular Velocity^2)/(2*Angular Acceleration)

Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time

Go Final Angular Velocity = Initial Angular Velocity+Angular Acceleration*Time Taken to Travel the Path

Displacement of Body given Initial Velocity and Final Velocity

Go Displacement of Body = ((Initial Velocity+Final Velocity)/2)*Time Taken to Travel the Path

Angle Traced in Nth Second (Accelerated Rotatory Motion)

Go Angular Displacement = Initial Angular Velocity+((2*Nth Second-1)/2)*Angular Acceleration

Displacement of Body given Initial Velocity Final Velocity and Acceleration

Go Displacement of Body = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration of Body)

Final Velocity of Body

Go Final Velocity = Initial Velocity+Acceleration of Body*Time Taken to Travel the Path

Final Velocity of Freely Falling Body from Height when it Reaches Ground

Go Velocity on Reaching Ground = sqrt(2*Acceleration due to Gravity*Height of Crack)

Distance Travelled in Nth Second (Accelerated Translatory Motion)

Go Distance Traveled = Initial Velocity+((2*Nth Second-1)/2)*Acceleration of Body

Resultant Acceleration

Go Resultant Acceleration = sqrt(Tangential Acceleration^2+Normal Acceleration^2)

Angle of Inclination of Resultant Acceleration with Tangential Acceleration

Go Inclination Angle = atan(Normal Acceleration/Tangential Acceleration)

Tangential Acceleration

Go Tangential Acceleration = Angular Acceleration*Radius of Curvature

Centripetal or Radial Acceleration

Go Angular Acceleration = Angular Velocity^2*Radius of Curvature

Normal Acceleration

Go Normal Acceleration = Angular Velocity^2*Radius of Curvature

Angular Velocity given Tangential Velocity

Go Angular Velocity = Tangential Velocity/Radius of Curvature

Average Velocity of Body given Initial and Final Velocity

Go Average Velocity = (Initial Velocity+Final Velocity)/2

Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time Formula

Final Angular Velocity = Initial Angular Velocity+Angular Acceleration*Time Taken to Travel the Path
ω₁ = ω_o+α*t

What is angular velocity?

Angular velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast an object's angular position or orientation changes with time. There are two types of angular velocity: orbital angular velocity and spin angular velocity. Angular velocity is measured in angle per unit time, e.g. radians per second.

How to Calculate Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time?

Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time calculator uses Final Angular Velocity = Initial Angular Velocity+Angular Acceleration*Time Taken to Travel the Path to calculate the Final Angular Velocity, Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time is the velocity when the body covers the desired angular displacement in time t. Final Angular Velocity is denoted by ω₁ symbol.

How to calculate Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time using this online calculator? To use this online calculator for Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time, enter Initial Angular Velocity (ω_o), Angular Acceleration (α) & Time Taken to Travel the Path (t) and hit the calculate button. Here is how the Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time calculation can be explained with given input values -> 23.6 = 14+1.6*6.

FAQ

What is Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time?

Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time is the velocity when the body covers the desired angular displacement in time t and is represented as ω₁ = ω_o+α*t or Final Angular Velocity = Initial Angular Velocity+Angular Acceleration*Time Taken to Travel the Path. Initial angular velocity is the velocity at which motion starts, Angular acceleration refers to the time rate of change of angular velocity & Time Taken to Travel the Path is the total time taken by an object to reach its destination.

How to calculate Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time?

Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time is the velocity when the body covers the desired angular displacement in time t is calculated using Final Angular Velocity = Initial Angular Velocity+Angular Acceleration*Time Taken to Travel the Path. To calculate Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time, you need Initial Angular Velocity (ω_o), Angular Acceleration (α) & Time Taken to Travel the Path (t). With our tool, you need to enter the respective value for Initial Angular Velocity, Angular Acceleration & Time Taken to Travel the Path 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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