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

GoAngle Traced in Nth Second (Accelerated Rotatory Motion) Formula

GoAngular Displacement given Initial Angular Velocity Angular Acceleration and Time Formula

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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 o + ω 1}{2}) \cdot t

θ - Angular Displacement?ω_o - Initial Angular Velocity?ω₁ - Final Angular Velocity?t - Time Taken to Travel the Path?

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

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

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

Here is how the Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time equation looks like.

120 = (\frac{15.2 + 24.8}{2}) \cdot 6

120rad = (\frac{15.2rad/s + 24.8rad/s}{2}) \cdot 6s

120 = (\frac{15.2 + 24.8}{2}) \cdot 6

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

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

FIRST Step Consider the formula

θ = (\frac{ω o + ω 1}{2}) \cdot t

Next Step Substitute values of Variables

∴

θ = (\frac{15.2rad/s + 24.8rad/s}{2}) \cdot 6s

Next Step Prepare to Evaluate

∴

θ = (\frac{15.2 + 24.8}{2}) \cdot 6

LAST Step Evaluate

∴

θ = 120rad

Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time 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

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

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

Time Taken to Travel the Path

Time Taken to Travel the Path is the duration required for an object to move from one point to another along a specific path or trajectory.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Taken to Travel the Path

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 of Body for given Initial and Final Angular Velocity

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

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 given Initial Angular Velocity Final Angular Velocity and Time?

Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time evaluator uses Angular Displacement = ((Initial Angular Velocity+Final Angular Velocity)/2)*Time Taken to Travel the Path to evaluate the Angular Displacement, Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time formula is defined as a measure of the total angular distance covered by an object in a specific time period, considering the initial and final angular velocities of the object during its rotational motion. Angular Displacement is denoted by θ symbol.

How to evaluate Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time using this online evaluator? To use this online evaluator for Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time, enter Initial Angular Velocity (ω_o), Final Angular Velocity (ω₁) & Time Taken to Travel the Path (t) and hit the calculate button.

FAQs on Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time

What is the formula to find Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time?

The formula of Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time is expressed as Angular Displacement = ((Initial Angular Velocity+Final Angular Velocity)/2)*Time Taken to Travel the Path. Here is an example- 78.6 = ((15.2+24.8)/2)*6.

How to calculate Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time?

With Initial Angular Velocity (ω_o), Final Angular Velocity (ω₁) & Time Taken to Travel the Path (t) we can find Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time using the formula - Angular Displacement = ((Initial Angular Velocity+Final Angular Velocity)/2)*Time Taken to Travel the Path.

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=(Final Angular Velocity^2-Initial Angular Velocity^2)/(2*Angular Acceleration)

Can the Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time be negative?

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

Which unit is used to measure Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time?

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

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

​GoAngle Traced in Nth Second (Accelerated Rotatory Motion) Formula

​GoAngular Displacement given Initial Angular Velocity Angular Acceleration and Time Formula

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

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

Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time Formula Elements

Other Formulas to find Angular Displacement

Other formulas in Kinematics category

How to Evaluate Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time?

FAQs on Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time

Variable Name

GoAngle Traced in Nth Second (Accelerated Rotatory Motion) Formula

GoAngular Displacement given Initial Angular Velocity Angular Acceleration and Time Formula