Initial angular velocity Calculator

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✖Final angular velocity of the particle.ⓘ Final angular velocity [ω]			+10% -10%
✖Angular Acceleration is defined as the rate of change of angular velocity.ⓘ Angular acceleration [α]			+10% -10%
✖time is what a clock reads, it is a scalar quantity.ⓘ Time [t]			+10% -10%

✖Initial angular velocity is the velocity at which motion starts.ⓘ Initial angular velocity [ω_o]

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Initial angular velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial angular velocity = Final angular velocity-(Angular acceleration*Time)
ω_o = ω-(α*t)
This formula uses 4 Variables

Variables Used

Initial angular velocity - (Measured in Radian per Second) - Initial angular velocity is the velocity at which motion starts.
Final angular velocity - (Measured in Radian per Second) - Final angular velocity of the particle.
Angular acceleration - (Measured in Radian per Second²) - Angular Acceleration is defined as the rate of change of angular velocity.
Time - (Measured in Second) - time is what a clock reads, it is a scalar quantity.

STEP 1: Convert Input(s) to Base Unit

Final angular velocity: 48 Radian per Second --> 48 Radian per Second No Conversion Required
Angular acceleration: 8 Radian per Second² --> 8 Radian per Second² No Conversion Required
Time: 30 Second --> 30 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_o = ω-(α*t) --> 48-(8*30)

Evaluating ... ...

ω_o = -192

STEP 3: Convert Result to Output's Unit

-192 Radian per Second --> No Conversion Required

FINAL ANSWER

-192 Radian per Second <-- Initial angular velocity

(Calculation completed in 00.016 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!

< 7 Curvilinear motion Calculators

Angular Displacement given Angular Acceleration

Angular Displacement = (Initial angular velocity*Time)+(1/2*Angular acceleration*(Time^2)) Go

Initial angular velocity

Initial angular velocity = Final angular velocity-(Angular acceleration*Time) Go

Final angular velocity

Angular Velocity = Initial angular velocity+(Angular acceleration*Time) Go

Average angular velocity

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

Angular velocity of body moving in circle

Angular Velocity = Angular Displacement/Time Go

Angular acceleration given linear acceleration

Angular acceleration = Acceleration/Radius Go

Angular velocity given linear velocity

Angular Velocity = Velocity/Radius Go

Initial angular velocity Formula

Initial angular velocity = Final angular velocity-(Angular acceleration*Time)
ω_o = ω-(α*t)

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 = Final angular velocity-(Angular acceleration*Time) to calculate the Initial angular velocity, The Initial angular velocity formula is defined as the difference of final angular velocity and product of angular acceleration and time. Initial angular velocity is denoted by ω_o symbol.

How to calculate Initial angular velocity using this online calculator? To use this online calculator for Initial angular velocity, enter Final angular velocity (ω), Angular acceleration (α) & Time (t) and hit the calculate button. Here is how the Initial angular velocity calculation can be explained with given input values -> -192 = 48-(8*30).

FAQ

What is Initial angular velocity?

The Initial angular velocity formula is defined as the difference of final angular velocity and product of angular acceleration and time and is represented as ω_o = ω-(α*t) or Initial angular velocity = Final angular velocity-(Angular acceleration*Time). Final angular velocity of the particle, Angular Acceleration is defined as the rate of change of angular velocity & time is what a clock reads, it is a scalar quantity.

How to calculate Initial angular velocity?

The Initial angular velocity formula is defined as the difference of final angular velocity and product of angular acceleration and time is calculated using Initial angular velocity = Final angular velocity-(Angular acceleration*Time). To calculate Initial angular velocity, you need Final angular velocity (ω), Angular acceleration (α) & Time (t). With our tool, you need to enter the respective value for Final angular velocity, Angular acceleration & Time 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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