Initial angular velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial angular velocity = Final angular velocity-(Angular acceleration*Time)
ωo = 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
ωo = ω-(α*t) --> 48-(8*30)
Evaluating ... ...
ωo = -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)

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)
ωo = 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 ωo 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 ωo = 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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