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Amplitude given Position Formula

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Amplitude is a measure of its change over a single period. Check FAQs

A = \frac{\sin (ω \cdot t p + θ)}{X}

A - Amplitude?ω - Angular Frequency?t_p - Time Period SHM?θ - Phase Angle?X - Position of a Particle?

Amplitude given Position Example

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With units

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Here is how the Amplitude given Position equation looks like with Values.

Here is how the Amplitude given Position equation looks like with Units.

Here is how the Amplitude given Position equation looks like.

0.005 = \frac{\sin (10.2851 \cdot 0.611 + 8)}{28.0324}

0.005m = \frac{\sin (10.2851rev/s \cdot 0.611s + 8°)}{28.0324}

0.005 = \frac{\sin (10.2851 \cdot 0.611 + 8)}{28.0324}

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Amplitude given Position Solution

Follow our step by step solution on how to calculate Amplitude given Position?

FIRST Step Consider the formula

A = \frac{\sin (ω \cdot t p + θ)}{X}

Next Step Substitute values of Variables

∴

A = \frac{\sin (10.2851rev/s \cdot 0.611s + 8°)}{28.0324}

Next Step Convert Units

∴

A = \frac{\sin (10.2851Hz \cdot 0.611s + 0.1396rad)}{28.0324}

Next Step Prepare to Evaluate

∴

A = \frac{\sin (10.2851 \cdot 0.611 + 0.1396)}{28.0324}

Next Step Evaluate

∴

A = 0.00499999950721302m

LAST Step Rounding Answer

∴

A = 0.005m

Amplitude given Position Formula Elements

Variables

Functions

Amplitude

Amplitude is a measure of its change over a single period.

Symbol: A

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Amplitude

Angular Frequency

Angular Frequency of a steadily recurring phenomenon expressed in radians per second.

Symbol: ω

Measurement: FrequencyUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Time Period SHM

Time Period SHM is time required for the periodic motion.

Symbol: t_p

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period SHM

Phase Angle

Phase Angle is a characteristic of a periodic wave. The angular component periodic wave is known as the phase angle.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Phase Angle

Position of a Particle

Position of a Particle is the phase of a vibrating particle at any instant is the state of the vibrating particle regarding its displacement and direction of vibration at that particular instant.

Symbol: X

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Position of a Particle

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Basic SHM Equations category

Go Time Period of SHM

t p = \frac{2 \cdot π}{ω}

Go Frequency of SHM

f = \frac{1}{t p}

Go Angular Frequency in SHM

ω = \frac{2 \cdot π}{t p}

Go Position of Particle in SHM

X = \frac{\sin (ω \cdot t p + θ)}{A}

How to Evaluate Amplitude given Position?

Amplitude given Position evaluator uses Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a Particle to evaluate the Amplitude, The Amplitude given Position formula is defined as the phase of a vibrating particle at any instant is the state of the vibrating (or) oscillating particle regarding its displacement and direction of vibration at that particular instant. Amplitude is denoted by A symbol.

How to evaluate Amplitude given Position using this online evaluator? To use this online evaluator for Amplitude given Position, enter Angular Frequency (ω), Time Period SHM (t_p), Phase Angle (θ) & Position of a Particle (X) and hit the calculate button.

FAQs on Amplitude given Position

What is the formula to find Amplitude given Position?

The formula of Amplitude given Position is expressed as Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a Particle. Here is an example- 0.005112 = (sin(10.28508*0.611+0.13962634015952))/28.03238.

How to calculate Amplitude given Position?

With Angular Frequency (ω), Time Period SHM (t_p), Phase Angle (θ) & Position of a Particle (X) we can find Amplitude given Position using the formula - Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a Particle. This formula also uses Sine (sin) function(s).

Can the Amplitude given Position be negative?

Yes, the Amplitude given Position, measured in Length can be negative.

Which unit is used to measure Amplitude given Position?

Amplitude given Position is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Amplitude given Position can be measured.

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Amplitude given Position Formula

Amplitude given Position Example

Amplitude given Position Solution

Amplitude given Position Formula Elements

Other formulas in Basic SHM Equations category

How to Evaluate Amplitude given Position?

FAQs on Amplitude given Position

Variable Name