FormulaDen.com

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

Angular Acceleration of String Formula

Fx Copy

LaTeX Copy

Angular Acceleration refers to the time rate of change of angular velocity. Check FAQs

α = g \cdot \frac{θ}{L s}

α - Angular Acceleration?g - Acceleration Due to Gravity?θ - Angular Displacement?L_s - Length of String?

Angular Acceleration of String Example

With values

With units

Only example

Here is how the Angular Acceleration of String equation looks like with Values.

Here is how the Angular Acceleration of String equation looks like with Units.

Here is how the Angular Acceleration of String equation looks like.

190.2913 = 9.8 \cdot \frac{120}{6180}

190.2913rad/s² = 9.8m/s² \cdot \frac{120rad}{6180mm}

190.2913 = 9.8 \cdot \frac{120}{6180}

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 Acceleration of String

Angular Acceleration of String Solution

Follow our step by step solution on how to calculate Angular Acceleration of String?

FIRST Step Consider the formula

α = g \cdot \frac{θ}{L s}

Next Step Substitute values of Variables

∴

α = 9.8m/s² \cdot \frac{120rad}{6180mm}

Next Step Convert Units

∴

α = 9.8m/s² \cdot \frac{120rad}{6.18m}

Next Step Prepare to Evaluate

∴

α = 9.8 \cdot \frac{120}{6.18}

Next Step Evaluate

∴

α = 190.291262135922rad/s²

LAST Step Rounding Answer

∴

α = 190.2913rad/s²

Angular Acceleration of String Formula Elements

Variables

Angular Acceleration

Angular Acceleration refers to the time rate of change of angular velocity.

Symbol: α

Measurement: Angular AccelerationUnit: rad/s²

Note: Value can be positive or negative.

Formulas to find Angular Acceleration

Acceleration Due to Gravity

Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration Due to Gravity

Angular Displacement

Angular Displacement is defined as the shortest angle between the initial and the final points for a given object undergoing circular motion about a fixed point.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angular Displacement

Length of String

Length of String is the length measurement of the string of pendulum.

Symbol: L_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of String

Other formulas in Simple Pendulum category

Go Angular Frequency of Simple Pendulum

ω = \sqrt{\frac{g}{L}}

Go Angular Frequency of Spring of given Stiffness Constant

ω = \sqrt{\frac{K s}{M}}

Go Restoring Torque for Simple Pendulum

τ = M \cdot g \cdot \sin (θ d) \cdot L s

Go Periodic Time for One Beat of SHM

t p = π \cdot \sqrt{\frac{L s}{g}}

How to Evaluate Angular Acceleration of String?

Angular Acceleration of String evaluator uses Angular Acceleration = Acceleration Due to Gravity*Angular Displacement/Length of String to evaluate the Angular Acceleration, Angular Acceleration of String formula is defined as a measure of the rate of change of angular velocity of an object rotating about a fixed axis, particularly in the context of simple harmonic motion, where the string's angular acceleration is influenced by the gravitational force and its length. Angular Acceleration is denoted by α symbol.

How to evaluate Angular Acceleration of String using this online evaluator? To use this online evaluator for Angular Acceleration of String, enter Acceleration Due to Gravity (g), Angular Displacement (θ) & Length of String (L_s) and hit the calculate button.

FAQs on Angular Acceleration of String

What is the formula to find Angular Acceleration of String?

The formula of Angular Acceleration of String is expressed as Angular Acceleration = Acceleration Due to Gravity*Angular Displacement/Length of String. Here is an example- 24000 = 9.8*120/6.18.

How to calculate Angular Acceleration of String?

With Acceleration Due to Gravity (g), Angular Displacement (θ) & Length of String (L_s) we can find Angular Acceleration of String using the formula - Angular Acceleration = Acceleration Due to Gravity*Angular Displacement/Length of String.

Can the Angular Acceleration of String be negative?

Yes, the Angular Acceleration of String, measured in Angular Acceleration can be negative.

Which unit is used to measure Angular Acceleration of String?

Angular Acceleration of String is usually measured using the Radian per Square Second[rad/s²] for Angular Acceleration. Radian per Square Minute[rad/s²], Revolution per Square Second[rad/s²], Revolution per Square Minute[rad/s²] are the few other units in which Angular Acceleration of String can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit