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
ωin = ωfi-αcm*tcm
This formula uses 4 Variables
Variables Used
Initial angular velocity of object - (Measured in Radian per Second) - The Initial angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration.
Final Angular Velocity of Object - (Measured in Radian per Second) - The final angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration.
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 what a clock reads, it is a scalar quantity.
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
ωin = ωficm*tcm --> 48-8*3
Evaluating ... ...
ωin = 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)

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!

11 Curvilinear Motion Calculators

Angular Displacement given Angular Acceleration
Go Angular Displacement = Initial angular velocity of object*Time Period+1/2*Angular Acceleration*Time Period^2
Initial Angular Velocity
Go Initial angular velocity of object = Final Angular Velocity of Object-Angular Acceleration*Time Period
Final Angular Velocity
Go Final Angular Velocity of Object = Initial angular velocity of object+Angular Acceleration*Time Period
Average Angular Velocity
Go Angular Velocity = (Initial angular velocity of object+Final Angular Velocity of Object)/2
Radius of Curvilinear Motion given Linear Acceleration
Go Radius = Acceleration for Curvilinear Motion/Angular Acceleration
Angular Acceleration given Linear Acceleration
Go Angular Acceleration = Acceleration for Curvilinear Motion/Radius
Linear Acceleration in Curvilinear Motion
Go Acceleration for Curvilinear Motion = Angular Acceleration*Radius
Velocity in Curvilinear Motion given Angular Velocity
Go Velocity of Curvilinear Motion = Angular Velocity*Radius
Radius of Curvilinear Motion given Angular velocity
Go Radius = Velocity of Curvilinear Motion/Angular Velocity
Angular Velocity given Linear Velocity
Go Angular Velocity = Velocity of Curvilinear Motion/Radius
Angular Velocity of Body Moving in Circle
Go Angular Velocity = Angular Displacement/Time Period

Initial Angular Velocity Formula

Initial angular velocity of object = Final Angular Velocity of Object-Angular Acceleration*Time Period
ωin = ωfi-αcm*tcm

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, The Initial angular velocity formula is defined as the difference of final angular velocity and product of angular acceleration and time. Initial angular velocity of object is denoted by ωin 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 fi), Angular Acceleration cm) & Time Period (tcm) 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?
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 ωin = ωficm*tcm or Initial angular velocity of object = Final Angular Velocity of Object-Angular Acceleration*Time Period. The final angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration, Angular Acceleration is defined as the rate of change of angular velocity & Time Period 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 of object = Final Angular Velocity of Object-Angular Acceleration*Time Period. To calculate Initial Angular Velocity, you need Final Angular Velocity of Object fi), Angular Acceleration cm) & Time Period (tcm). 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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