HCF of three numbers

Amplitude given Position Calculator

Physics

Chemistry

Engineering

↳

⤿

✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω]			+10% -10%
✖Time Period SHM is time required for the periodic motion.ⓘ Time Period SHM [t_p]			+10% -10%
✖Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.ⓘ Phase Angle [θ]			+10% -10%
✖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.ⓘ Position of a particle [X]			+10% -10%

✖Amplitude is a measure of its change over a single period.ⓘ Amplitude given Position [A]

⎘ Copy

👎

Formula

✖

Amplitude given Position

Formula

`"A" = (sin("ω"*"t"_{"p"}+"θ"))/"X"`

Example

`"0.017456m"=(sin("10.28rev/s"*"0.6s"+"8°"))/"1.4"`

Calculator

LaTeX

Reset

👍

Download Physics Formula PDF PDF Image

Amplitude given Position Solution

STEP 0: Pre-Calculation Summary

Formula Used

Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle
A = (sin(ω*t_p+θ))/X
This formula uses 1 Functions, 5 Variables

Functions Used

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., sin(Angle)

Variables Used

Amplitude - (Measured in Meter) - Amplitude is a measure of its change over a single period.
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Time Period SHM - (Measured in Second) - Time Period SHM is time required for the periodic motion.
Phase Angle - (Measured in Radian) - Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.
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.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 10.28 Revolution per Second --> 10.28 Hertz (Check conversion here)
Time Period SHM: 0.6 Second --> 0.6 Second No Conversion Required
Phase Angle: 8 Degree --> 0.13962634015952 Radian (Check conversion here)
Position of a particle: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (sin(ω*t_p+θ))/X --> (sin(10.28*0.6+0.13962634015952))/1.4

Evaluating ... ...

A = 0.0174561426333536

STEP 3: Convert Result to Output's Unit

0.0174561426333536 Meter --> No Conversion Required

FINAL ANSWER

0.0174561426333536 ≈ 0.017456 Meter <-- Amplitude

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Others & Extra » Basic physics » Amplitude given Position

Credits

Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 10+ Basic physics Calculators

Amplitude given Position

Go Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle

Magnetic Force

Go Magnetic Force = Current Magnitude*Length of Rod*Magnetic Field*sin(Theta)

Magnetic Flux

Go Magnetic Flux = Magnetic Field*Length*Thickness of Dam*cos(Theta)

Ride rate of car

Go Ride rate of car = (Wheel rate of vehicle*Tire rate)/(Wheel rate of vehicle+Tire rate)

Electric Force by Coulomb's Law

Go Electric Force = ([Coulomb]*Charge 1*Charge 2)/(Separation between Charges^2)

Refractive Index

Go Refractive Index = sin(Angle of Incidence)/sin(Angle of Refraction)

Perpendicular Distance between Two Surfaces given Shear Angle

Go Perpendicular Distance = Displacement of Upper Surface/tan(Angle of Shear)

Heat Rate

Go Heat Rate = Steam Flow*Specific Heat Capacity*Temperature Difference

Capacitance

Go Capacitance = Dielectric Constant*Charge/Voltage

Amplitude

Go Amplitude = Total Distance Traveled/Frequency

Amplitude given Position Formula

Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle
A = (sin(ω*t_p+θ))/X

What is SHM?

Simple harmonic motion(SHM) is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point.

How to Calculate Amplitude given Position?

Amplitude given Position calculator uses Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle to calculate the Amplitude, The Amplitude given Position 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 calculate Amplitude given Position using this online calculator? To use this online calculator 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. Here is how the Amplitude given Position calculation can be explained with given input values -> 0.017456 = (sin(10.28*0.6+0.13962634015952))/1.4.

FAQ

What is Amplitude given Position?

The Amplitude given Position 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 and is represented as A = (sin(ω*t_p+θ))/X or Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle. Angular Frequency of a steadily recurring phenomenon expressed in radians per second, Time Period SHM is time required for the periodic motion, Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees & 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.

How to calculate Amplitude given Position?

The Amplitude given Position 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 is calculated using Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle. To calculate Amplitude given Position, you need Angular Frequency (ω), Time Period SHM (t_p), Phase Angle (θ) & Position of a particle (X). With our tool, you need to enter the respective value for Angular Frequency, Time Period SHM, Phase Angle & Position of a particle 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 Amplitude?

In this formula, Amplitude uses Angular Frequency, Time Period SHM, Phase Angle & Position of a particle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Amplitude = Total Distance Traveled/Frequency

Home

FREE PDFs

🔍 Search