FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Angular Displacement of Body for given Initial and Final Angular Velocity Formula

GoAngle Traced in Nth Second (Accelerated Rotatory Motion) Formula

GoAngular Displacement given Initial Angular Velocity Angular Acceleration and Time Formula

Fx Copy

LaTeX Copy

Angular Displacement is the angle through which an object rotates about a fixed axis, describing the change in its orientation. Check FAQs

θ = \frac{{ω 1}^{2} - {ω o}^{2}}{2 \cdot α}

θ - Angular Displacement?ω₁ - Final Angular Velocity?ω_o - Initial Angular Velocity?α - Angular Acceleration?

Angular Displacement of Body for given Initial and Final Angular Velocity Example

With values

With units

Only example

Here is how the Angular Displacement of Body for given Initial and Final Angular Velocity equation looks like with Values.

Here is how the Angular Displacement of Body for given Initial and Final Angular Velocity equation looks like with Units.

Here is how the Angular Displacement of Body for given Initial and Final Angular Velocity equation looks like.

120 = \frac{{24.8}^{2} - {15.2}^{2}}{2 \cdot 1.6}

120rad = \frac{{24.8rad/s}^{2} - {15.2rad/s}^{2}}{2 \cdot 1.6rad/s²}

120 = \frac{{24.8}^{2} - {15.2}^{2}}{2 \cdot 1.6}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Theory of Machine » fx Angular Displacement of Body for given Initial and Final Angular Velocity

Angular Displacement of Body for given Initial and Final Angular Velocity Solution

Follow our step by step solution on how to calculate Angular Displacement of Body for given Initial and Final Angular Velocity?

FIRST Step Consider the formula

θ = \frac{{ω 1}^{2} - {ω o}^{2}}{2 \cdot α}

Next Step Substitute values of Variables

∴

θ = \frac{{24.8rad/s}^{2} - {15.2rad/s}^{2}}{2 \cdot 1.6rad/s²}

Next Step Prepare to Evaluate

∴

θ = \frac{{24.8}^{2} - {15.2}^{2}}{2 \cdot 1.6}

LAST Step Evaluate

∴

θ = 120rad

Angular Displacement of Body for given Initial and Final Angular Velocity Formula Elements

Variables

Angular Displacement

Angular Displacement is the angle through which an object rotates about a fixed axis, describing the change in its orientation.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angular Displacement

Final Angular Velocity

Final Angular Velocity is the angular velocity of an object at the end of a specific time period or distance of motion.

Symbol: ω₁

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Final Angular Velocity

Initial Angular Velocity

Initial Angular Velocity is the velocity of an object at the start of its motion, describing its initial rotational motion around a fixed axis.

Symbol: ω_o

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Initial Angular Velocity

Angular Acceleration

Angular Acceleration is the rate of change of angular velocity, describing how fast the rotation of an object changes over time.

Symbol: α

Measurement: Angular AccelerationUnit: rad/s²

Note: Value can be positive or negative.

Formulas to find Angular Acceleration

Other Formulas to find Angular Displacement

Go Angle Traced in Nth Second (Accelerated Rotatory Motion)

θ = ω o + (\frac{2 \cdot n th - 1}{2}) \cdot α

Go Angular Displacement given Initial Angular Velocity Angular Acceleration and Time

θ = ω o \cdot t + \frac{α \cdot t^{2}}{2}

Go Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time

θ = (\frac{ω o + ω 1}{2}) \cdot t

Other formulas in Kinematics category

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

ω 1 = ω o + α \cdot t

Go Final Velocity of Body

v f = u + a \cdot t

Go Final Velocity of Freely Falling Body from Height when it Reaches Ground

V = \sqrt{2 \cdot g \cdot v}

Go Normal Acceleration

a n = ω^{2} \cdot R c

How to Evaluate Angular Displacement of Body for given Initial and Final Angular Velocity?

Angular Displacement of Body for given Initial and Final Angular Velocity evaluator uses Angular Displacement = (Final Angular Velocity^2-Initial Angular Velocity^2)/(2*Angular Acceleration) to evaluate the Angular Displacement, Angular Displacement of Body for given Initial and Final Angular Velocity formula is defined as a measure of the change in angular position of a rotating body, describing the rotation of an object from an initial to a final angular velocity, and is a fundamental concept in the kinematics of motion. Angular Displacement is denoted by θ symbol.

How to evaluate Angular Displacement of Body for given Initial and Final Angular Velocity using this online evaluator? To use this online evaluator for Angular Displacement of Body for given Initial and Final Angular Velocity, enter Final Angular Velocity (ω₁), Initial Angular Velocity (ω_o) & Angular Acceleration (α) and hit the calculate button.

FAQs on Angular Displacement of Body for given Initial and Final Angular Velocity

What is the formula to find Angular Displacement of Body for given Initial and Final Angular Velocity?

The formula of Angular Displacement of Body for given Initial and Final Angular Velocity is expressed as Angular Displacement = (Final Angular Velocity^2-Initial Angular Velocity^2)/(2*Angular Acceleration). Here is an example- -34.3875 = (24.8^2-15.2^2)/(2*1.6).

How to calculate Angular Displacement of Body for given Initial and Final Angular Velocity?

With Final Angular Velocity (ω₁), Initial Angular Velocity (ω_o) & Angular Acceleration (α) we can find Angular Displacement of Body for given Initial and Final Angular Velocity using the formula - Angular Displacement = (Final Angular Velocity^2-Initial Angular Velocity^2)/(2*Angular Acceleration).

What are the other ways to Calculate Angular Displacement?

Here are the different ways to Calculate Angular Displacement-

Angular Displacement=Initial Angular Velocity+((2*Nth Second-1)/2)*Angular Acceleration
Angular Displacement=Initial Angular Velocity*Time Taken to Travel the Path+(Angular Acceleration*Time Taken to Travel the Path^2)/2
Angular Displacement=((Initial Angular Velocity+Final Angular Velocity)/2)*Time Taken to Travel the Path

Can the Angular Displacement of Body for given Initial and Final Angular Velocity be negative?

Yes, the Angular Displacement of Body for given Initial and Final Angular Velocity, measured in Angle can be negative.

Which unit is used to measure Angular Displacement of Body for given Initial and Final Angular Velocity?

Angular Displacement of Body for given Initial and Final Angular Velocity is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Angular Displacement of Body for given Initial and Final Angular Velocity can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit