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Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second. Check FAQs
f=αθ2π
f - Frequency?α - Angular Acceleration?θ - Angular Displacement?π - Archimedes' constant?

Frequency of Particle Moving with Angular Simple Harmonic Motion Example

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With units
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Here is how the Frequency of Particle Moving with Angular Simple Harmonic Motion equation looks like with Values.

Here is how the Frequency of Particle Moving with Angular Simple Harmonic Motion equation looks like with Units.

Here is how the Frequency of Particle Moving with Angular Simple Harmonic Motion equation looks like.

0.2003Edit=190Edit120Edit23.1416
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Frequency of Particle Moving with Angular Simple Harmonic Motion Solution

Follow our step by step solution on how to calculate Frequency of Particle Moving with Angular Simple Harmonic Motion?

FIRST Step Consider the formula
f=αθ2π
Next Step Substitute values of Variables
f=190rad/s²120rad2π
Next Step Substitute values of Constants
f=190rad/s²120rad23.1416
Next Step Prepare to Evaluate
f=19012023.1416
Next Step Evaluate
f=0.200265578316458Hz
LAST Step Rounding Answer
f=0.2003Hz

Frequency of Particle Moving with Angular Simple Harmonic Motion Formula Elements

Variables
Constants
Functions
Frequency
Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
Symbol: f
Measurement: FrequencyUnit: Hz
Note: Value can be positive or negative.
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.
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.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288
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 Frequency

​Go Frequency of Oscillation for SHM
f=1tp

Other formulas in Basics category

​Go Periodic Time for SHM
tp=2πdmg
​Go Periodic Time of Particle Moving with Angular Simple Harmonic Motion
tp=2πθα

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

Frequency of Particle Moving with Angular Simple Harmonic Motion evaluator uses Frequency = sqrt(Angular Acceleration/Angular Displacement)/(2*pi) to evaluate the Frequency, Frequency of Particle Moving with Angular Simple Harmonic Motion formula is defined as a measure of the number of oscillations or cycles of a particle per unit time in a simple harmonic motion, which is a type of periodic motion where the particle moves back and forth about a fixed point. Frequency is denoted by f symbol.

How to evaluate Frequency of Particle Moving with Angular Simple Harmonic Motion using this online evaluator? To use this online evaluator for Frequency of Particle Moving with Angular Simple Harmonic Motion, enter Angular Acceleration (α) & Angular Displacement (θ) and hit the calculate button.

FAQs on Frequency of Particle Moving with Angular Simple Harmonic Motion

What is the formula to find Frequency of Particle Moving with Angular Simple Harmonic Motion?
The formula of Frequency of Particle Moving with Angular Simple Harmonic Motion is expressed as Frequency = sqrt(Angular Acceleration/Angular Displacement)/(2*pi). Here is an example- 0.018378 = sqrt(190/120)/(2*pi).
How to calculate Frequency of Particle Moving with Angular Simple Harmonic Motion?
With Angular Acceleration (α) & Angular Displacement (θ) we can find Frequency of Particle Moving with Angular Simple Harmonic Motion using the formula - Frequency = sqrt(Angular Acceleration/Angular Displacement)/(2*pi). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).
What are the other ways to Calculate Frequency?
Here are the different ways to Calculate Frequency-
  • Frequency=1/Time Period SHMOpenImg
Can the Frequency of Particle Moving with Angular Simple Harmonic Motion be negative?
Yes, the Frequency of Particle Moving with Angular Simple Harmonic Motion, measured in Frequency can be negative.
Which unit is used to measure Frequency of Particle Moving with Angular Simple Harmonic Motion?
Frequency of Particle Moving with Angular Simple Harmonic Motion is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Frequency of Particle Moving with Angular Simple Harmonic Motion can be measured.
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