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Initial Angular Velocity Formula

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Initial Angular Velocity of Object undergoing curvilinear motion is calculated concerning time and acceleration. Check FAQs

ω in = ω fi - α cm \cdot t cm

ω_in - Initial Angular Velocity of Object?ω_fi - Final Angular Velocity of Object?α_cm - Angular Acceleration?t_cm - Time Period?

Initial Angular Velocity Example

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Here is how the Initial Angular Velocity equation looks like with Values.

Here is how the Initial Angular Velocity equation looks like with Units.

Here is how the Initial Angular Velocity equation looks like.

24 = 48 - 8 \cdot 3

24rad/s = 48rad/s - 8rad/s² \cdot 3s

24 = 48 - 8 \cdot 3

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Initial Angular Velocity Solution

Follow our step by step solution on how to calculate Initial Angular Velocity?

FIRST Step Consider the formula

ω in = ω fi - α cm \cdot t cm

Next Step Substitute values of Variables

∴

ω in = 48rad/s - 8rad/s² \cdot 3s

Next Step Prepare to Evaluate

∴

ω in = 48 - 8 \cdot 3

LAST Step Evaluate

∴

ω in = 24rad/s

Initial Angular Velocity Formula Elements

Variables

Initial Angular Velocity of Object

Initial Angular Velocity of Object undergoing curvilinear motion is calculated concerning time and acceleration.

Symbol: ω_in

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Initial Angular Velocity of Object

Final Angular Velocity of Object

Final Angular Velocity of Object refers to the angular velocity (rate of rotation) of the object at the end of a given time interval.

Symbol: ω_fi

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Final Angular Velocity of Object

Angular Acceleration

Angular Acceleration is defined as the rate of change of angular velocity.

Symbol: α_cm

Measurement: Angular AccelerationUnit: rad/s²

Note: Value should be greater than 0.

Formulas to find Angular Acceleration

Time Period

Time Period is the duration of time it takes for a repeating event or cycle to complete one full cycle.

Symbol: t_cm

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period

Other formulas in Curvilinear Motion category

Go Angular Velocity of Body Moving in Circle

ω = \frac{θ cm}{t cm}

Go Angular Velocity given Linear Velocity

ω = \frac{v cm}{r}

Go Angular Acceleration given Linear Acceleration

α cm = \frac{a cm}{r}

Go Final Angular Velocity

ω fi = ω in + α cm \cdot t cm

How to Evaluate Initial Angular Velocity?

Initial Angular Velocity evaluator uses Initial Angular Velocity of Object = Final Angular Velocity of Object-Angular Acceleration*Time Period to evaluate the Initial Angular Velocity of Object, Initial Angular Velocity formula is defined as the measure of the rate of change of angular displacement of an object with respect to time, describing the rotational motion of an object around a fixed axis, providing insights into the object's rotational kinematics. Initial Angular Velocity of Object is denoted by ω_in symbol.

How to evaluate Initial Angular Velocity using this online evaluator? To use this online evaluator for Initial Angular Velocity, enter Final Angular Velocity of Object (ω_fi), Angular Acceleration (α_cm) & Time Period (t_cm) and hit the calculate button.

FAQs on Initial Angular Velocity

What is the formula to find Initial Angular Velocity?

The formula of Initial Angular Velocity is expressed as Initial Angular Velocity of Object = Final Angular Velocity of Object-Angular Acceleration*Time Period. Here is an example- 24 = 48-8*3.

How to calculate Initial Angular Velocity?

With Final Angular Velocity of Object (ω_fi), Angular Acceleration (α_cm) & Time Period (t_cm) we can find Initial Angular Velocity using the formula - Initial Angular Velocity of Object = Final Angular Velocity of Object-Angular Acceleration*Time Period.

Can the Initial Angular Velocity be negative?

No, the Initial Angular Velocity, measured in Angular Velocity cannot be negative.

Which unit is used to measure Initial Angular Velocity?

Initial Angular Velocity is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Initial Angular Velocity can be measured.

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Initial Angular Velocity Formula

Initial Angular Velocity Example

Initial Angular Velocity Solution

Initial Angular Velocity Formula Elements

Other formulas in Curvilinear Motion category

How to Evaluate Initial Angular Velocity?

FAQs on Initial Angular Velocity

Variable Name