Angular Frequency of Simple Pendulum Calculator

✖Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due to Gravity [g]			+10% -10%
✖Total Length is the measurement or extent of something from end to end.ⓘ Total Length [L]			+10% -10%

✖Angular Frequency in radian/sec refers to the angular displacement per unit of time.ⓘ Angular Frequency of Simple Pendulum [ω]

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Angular Frequency of Simple Pendulum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Frequency = sqrt(Acceleration Due to Gravity/Total Length)
ω = sqrt(g/L)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Angular Frequency - (Measured in Radian per Second) - Angular Frequency in radian/sec refers to the angular displacement per unit of time.
Acceleration Due to Gravity - (Measured in Meter per Square Second) - Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.
Total Length - (Measured in Meter) - Total Length is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Acceleration Due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Total Length: 1300 Millimeter --> 1.3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = sqrt(g/L) --> sqrt(9.8/1.3)

Evaluating ... ...

ω = 2.74562589193458

STEP 3: Convert Result to Output's Unit

2.74562589193458 Radian per Second --> No Conversion Required

FINAL ANSWER

2.74562589193458 ≈ 2.745626 Radian per Second <-- Angular Frequency

(Calculation completed in 00.020 seconds)

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< Simple Pendulum Calculators

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Angular Frequency of Simple Pendulum Formula

LaTeX Go

Angular Frequency = sqrt(Acceleration Due to Gravity/Total Length)
ω = sqrt(g/L)

Why is angular velocity equal to angular frequency?

The angular frequency is a scalar quantity which is equal to the magnitude of the angular velocity vector. The relationship between angular frequency and angular velocity is analogous to the relationship between speed and velocity in linear motion, respectively.

Under what conditions is the motion of a pendulum simple harmonic?

An object is a simple harmonic oscillator when the restoring force is directly proportional to displacement. A simple pendulum with length l, mass m, and displacement angle θ has a net restoring force of −m*g*sin(θ). For small angles, sin(θ) is almost equal to the theta and the restoring force is directly proportional to theta. Therefore, the pendulum exhibits SHM for small angles, and it will be different for the larger angles.

How to Calculate Angular Frequency of Simple Pendulum?

Angular Frequency of Simple Pendulum calculator uses Angular Frequency = sqrt(Acceleration Due to Gravity/Total Length) to calculate 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 calculate Angular Frequency of Simple Pendulum using this online calculator? To use this online calculator for Angular Frequency of Simple Pendulum, enter Acceleration Due to Gravity (g) & Total Length (L) and hit the calculate button. Here is how the Angular Frequency of Simple Pendulum calculation can be explained with given input values -> 2.745626 = sqrt(9.8/1.3).

FAQ

What is Angular Frequency of Simple Pendulum?

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 and is represented as ω = sqrt(g/L) or Angular Frequency = sqrt(Acceleration Due to Gravity/Total Length). Acceleration Due to Gravity is acceleration gained by an object because of gravitational force & Total Length is the measurement or extent of something from end to end.

How to calculate Angular Frequency of Simple Pendulum?

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 is calculated using Angular Frequency = sqrt(Acceleration Due to Gravity/Total Length). To calculate Angular Frequency of Simple Pendulum, you need Acceleration Due to Gravity (g) & Total Length (L). With our tool, you need to enter the respective value for Acceleration Due to Gravity & Total Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Angular Frequency?

In this formula, Angular Frequency uses Acceleration Due to Gravity & Total Length. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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