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

✖Initial Angular Velocity is the velocity of an object at the start of its motion, describing its initial rotational motion around a fixed axis.ⓘ Initial Angular Velocity [ω_o]			+10% -10%
✖Angular Acceleration is the rate of change of angular velocity, describing how fast the rotation of an object changes over time.ⓘ Angular Acceleration [α]			+10% -10%
✖Time Taken to Travel the Path is the duration required for an object to move from one point to another along a specific path or trajectory.ⓘ Time Taken to Travel the Path [t]			+10% -10%

✖Final Angular Velocity is the angular velocity of an object at the end of a specific time period or distance of motion.ⓘ Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time [ω₁]

⎘ Copy

👎

Formula

✖

Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time

Formula

ω 1 = ω o + α \cdot t

Example

24.8 rad/s = 15.2 rad/s + 1.6 rad/s² \cdot 6 s

Calculator

LaTeX

Reset

👍

Download Kinematics Formulas PDF PDF Image

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 the angular velocity of an object at the end of a specific time period or distance of motion.
Initial Angular Velocity - (Measured in Radian per Second) - Initial Angular Velocity is the velocity of an object at the start of its motion, describing its initial rotational motion around a fixed axis.
Angular Acceleration - (Measured in Radian per Square Second) - Angular Acceleration is the rate of change of angular velocity, describing how fast the rotation of an object changes over time.
Time Taken to Travel the Path - (Measured in Second) - Time Taken to Travel the Path is the duration required for an object to move from one point to another along a specific path or trajectory.

STEP 1: Convert Input(s) to Base Unit

Initial Angular Velocity: 15.2 Radian per Second --> 15.2 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 --> 15.2+1.6*6

Evaluating ... ...

ω₁ = 24.8

STEP 3: Convert Result to Output's Unit

24.8 Radian per Second --> No Conversion Required

FINAL ANSWER

24.8 Radian per Second <-- Final Angular Velocity

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Theory of Machine » Kinematics of Motion » Mechanical » Kinematics » Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< Kinematics Calculators

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

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)

Normal Acceleration

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

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 formula is defined as a measure of the rotational speed of an object at a specific point in time, taking into account its initial angular velocity, angular acceleration, and time elapsed, providing a comprehensive understanding of an object's rotational motion. 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 -> 24.8 = 15.2+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 formula is defined as a measure of the rotational speed of an object at a specific point in time, taking into account its initial angular velocity, angular acceleration, and time elapsed, providing a comprehensive understanding of an object's rotational motion 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 of an object at the start of its motion, describing its initial rotational motion around a fixed axis, Angular Acceleration is the rate of change of angular velocity, describing how fast the rotation of an object changes over time & Time Taken to Travel the Path is the duration required for an object to move from one point to another along a specific path or trajectory.

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 formula is defined as a measure of the rotational speed of an object at a specific point in time, taking into account its initial angular velocity, angular acceleration, and time elapsed, providing a comprehensive understanding of an object's rotational motion 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.

Home

FREE PDFs

🔍 Search