Frequency of Particle Moving with Angular Simple Harmonic Motion Calculator

✖Angular acceleration refers to the time rate of change of angular velocity.ⓘ Angular Acceleration [α]			+10% -10%
✖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.ⓘ Angular Displacement [θ]			+10% -10%

✖Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.ⓘ Frequency of Particle Moving with Angular Simple Harmonic Motion [f]

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Formula

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Frequency of Particle Moving with Angular Simple Harmonic Motion

Formula

`"f" = sqrt("α"/"θ")/(2*pi)`

Example

`"0.018378Hz"=sqrt("1.6rad/s²"/"120rad")/(2*pi)`

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Frequency of Particle Moving with Angular Simple Harmonic Motion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency = sqrt(Angular Acceleration/Angular Displacement)/(2*pi)
f = sqrt(α/θ)/(2*pi)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Frequency - (Measured in Hertz) - Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
Angular Acceleration - (Measured in Radian per Square Second) - Angular acceleration refers to the time rate of change of angular velocity.
Angular Displacement - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Angular Acceleration: 1.6 Radian per Square Second --> 1.6 Radian per Square Second No Conversion Required
Angular Displacement: 120 Radian --> 120 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = sqrt(α/θ)/(2*pi) --> sqrt(1.6/120)/(2*pi)

Evaluating ... ...

f = 0.0183776298473931

STEP 3: Convert Result to Output's Unit

0.0183776298473931 Hertz --> No Conversion Required

FINAL ANSWER

0.0183776298473931 ≈ 0.018378 Hertz <-- Frequency

(Calculation completed in 00.020 seconds)

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< 4 Basics Calculators

Periodic Time for SHM

Go Time Period SHM = 2*pi*sqrt(Total Displacement/Acceleration due to Gravity)

Periodic Time of Particle Moving with Angular Simple Harmonic Motion

Go Time Period SHM = 2*pi*sqrt(Angular Displacement/Angular Acceleration)

Frequency of Particle Moving with Angular Simple Harmonic Motion

Go Frequency = sqrt(Angular Acceleration/Angular Displacement)/(2*pi)

Frequency of Oscillation for SHM

Go Frequency = 1/Time Period SHM

Frequency of Particle Moving with Angular Simple Harmonic Motion Formula

Frequency = sqrt(Angular Acceleration/Angular Displacement)/(2*pi)
f = sqrt(α/θ)/(2*pi)

What does angular frequency represent in SHM?

The SHM involves the 'to and fro' oscillation, hence its motion is sinusoidal. The number of oscillations carried by the bob in SHM is called its angular frequency – which measures how many times the bob oscillates in a specific time.

How to Calculate Frequency of Particle Moving with Angular Simple Harmonic Motion?

Frequency of Particle Moving with Angular Simple Harmonic Motion calculator uses Frequency = sqrt(Angular Acceleration/Angular Displacement)/(2*pi) to calculate the Frequency, The Frequency of Particle moving with Angular Simple Harmonic Motion formula is the number of cycles per second and is the reciprocal of the time period. Frequency is denoted by f symbol.

How to calculate Frequency of Particle Moving with Angular Simple Harmonic Motion using this online calculator? To use this online calculator for Frequency of Particle Moving with Angular Simple Harmonic Motion, enter Angular Acceleration (α) & Angular Displacement (θ) and hit the calculate button. Here is how the Frequency of Particle Moving with Angular Simple Harmonic Motion calculation can be explained with given input values -> 0.018378 = sqrt(1.6/120)/(2*pi).

FAQ

What is Frequency of Particle Moving with Angular Simple Harmonic Motion?

The Frequency of Particle moving with Angular Simple Harmonic Motion formula is the number of cycles per second and is the reciprocal of the time period and is represented as f = sqrt(α/θ)/(2*pi) or Frequency = sqrt(Angular Acceleration/Angular Displacement)/(2*pi). Angular acceleration refers to the time rate of change of angular velocity & 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.

How to calculate Frequency of Particle Moving with Angular Simple Harmonic Motion?

The Frequency of Particle moving with Angular Simple Harmonic Motion formula is the number of cycles per second and is the reciprocal of the time period is calculated using Frequency = sqrt(Angular Acceleration/Angular Displacement)/(2*pi). To calculate Frequency of Particle Moving with Angular Simple Harmonic Motion, you need Angular Acceleration (α) & Angular Displacement (θ). With our tool, you need to enter the respective value for Angular Acceleration & Angular Displacement 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 Frequency?

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

Frequency = 1/Time Period SHM

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