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Angular Frequency of Simple Pendulum Formula

GoAngular Frequency of Spring of given Stiffness Constant Formula

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Angular Frequency in radian/sec refers to the angular displacement per unit of time. Check FAQs

ω = \sqrt{\frac{g}{L}}

ω - Angular Frequency?g - Acceleration Due to Gravity?L - Total Length?

Angular Frequency of Simple Pendulum Example

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Here is how the Angular Frequency of Simple Pendulum equation looks like with Values.

Here is how the Angular Frequency of Simple Pendulum equation looks like with Units.

Here is how the Angular Frequency of Simple Pendulum equation looks like.

2.7456 = \sqrt{\frac{9.8}{1300}}

2.7456rad/s = \sqrt{\frac{9.8m/s²}{1300mm}}

2.7456 = \sqrt{\frac{9.8}{1300}}

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Angular Frequency of Simple Pendulum Solution

Follow our step by step solution on how to calculate Angular Frequency of Simple Pendulum?

FIRST Step Consider the formula

ω = \sqrt{\frac{g}{L}}

Next Step Substitute values of Variables

∴

ω = \sqrt{\frac{9.8m/s²}{1300mm}}

Next Step Convert Units

∴

ω = \sqrt{\frac{9.8m/s²}{1.3m}}

Next Step Prepare to Evaluate

∴

ω = \sqrt{\frac{9.8}{1.3}}

Next Step Evaluate

∴

ω = 2.74562589193458rad/s

LAST Step Rounding Answer

∴

ω = 2.7456rad/s

Angular Frequency of Simple Pendulum Formula Elements

Variables

Functions

Angular Frequency

Angular Frequency in radian/sec refers to the angular displacement per unit of time.

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Frequency

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

Total Length

Total Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Total Length

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Angular Frequency

Go Angular Frequency of Spring of given Stiffness Constant

ω = \sqrt{\frac{K s}{M}}

Other formulas in Simple Pendulum category

Go Restoring Torque for Simple Pendulum

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

Go Angular Acceleration of String

α = g \cdot \frac{θ}{L s}

Go Periodic Time for One Beat of SHM

t p = π \cdot \sqrt{\frac{L s}{g}}

How to Evaluate Angular Frequency of Simple Pendulum?

Angular Frequency of Simple Pendulum evaluator uses Angular Frequency = sqrt(Acceleration Due to Gravity/Total Length) to evaluate the Angular Frequency, Angular Frequency of Simple Pendulum formula is defined as a measure of the number of oscillations or rotations of a simple pendulum per unit time, which is a fundamental concept in simple harmonic motion, describing the periodic motion of an object. Angular Frequency is denoted by ω symbol.

How to evaluate Angular Frequency of Simple Pendulum using this online evaluator? To use this online evaluator for Angular Frequency of Simple Pendulum, enter Acceleration Due to Gravity (g) & Total Length (L) and hit the calculate button.

FAQs on Angular Frequency of Simple Pendulum

What is the formula to find Angular Frequency of Simple Pendulum?

The formula of Angular Frequency of Simple Pendulum is expressed as Angular Frequency = sqrt(Acceleration Due to Gravity/Total Length). Here is an example- 2.745626 = sqrt(9.8/1.3).

How to calculate Angular Frequency of Simple Pendulum?

With Acceleration Due to Gravity (g) & Total Length (L) we can find Angular Frequency of Simple Pendulum using the formula - Angular Frequency = sqrt(Acceleration Due to Gravity/Total Length). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Angular Frequency?

Here are the different ways to Calculate Angular Frequency-

Angular Frequency=sqrt(Spring Constant/Mass of Body)

Can the Angular Frequency of Simple Pendulum be negative?

Yes, the Angular Frequency of Simple Pendulum, measured in Angular Frequency can be negative.

Which unit is used to measure Angular Frequency of Simple Pendulum?

Angular Frequency of Simple Pendulum is usually measured using the Radian per Second[rad/s] for Angular Frequency. Degree per Second[rad/s] are the few other units in which Angular Frequency of Simple Pendulum can be measured.

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