Distance Traveled in SHM given Angular Frequency Calculator

✖Acceleration is the rate of change in velocity to the change in time.ⓘ Acceleration [a]			+10% -10%
✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω]			+10% -10%

✖Displacement is a vector quantity that refers to the change in position of an object from its initial point to its final point.ⓘ Distance Traveled in SHM given Angular Frequency [S]

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Distance Traveled in SHM given Angular Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Displacement = Acceleration/(-Angular Frequency^2)
S = a/(-ω^2)
This formula uses 3 Variables

Variables Used

Displacement - (Measured in Meter) - Displacement is a vector quantity that refers to the change in position of an object from its initial point to its final point.
Acceleration - (Measured in Meter per Square Second) - Acceleration is the rate of change in velocity to the change in time.
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.

STEP 1: Convert Input(s) to Base Unit

Acceleration: 6875.88 Meter per Square Second --> 6875.88 Meter per Square Second No Conversion Required
Angular Frequency: 10.28508 Revolution per Second --> 10.28508 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = a/(-ω^2) --> 6875.88/(-10.28508^2)

Evaluating ... ...

S = 64.9999377081

STEP 3: Convert Result to Output's Unit

64.9999377081 Meter --> No Conversion Required

FINAL ANSWER

64.9999377081 ≈ 64.99994 Meter <-- Displacement

(Calculation completed in 00.020 seconds)

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Home » Physics » Simple Harmonic Motion(SHM) » Basic Physics » Mechanics » Velocity and Displacement in SHM » Distance Traveled in SHM given Angular Frequency

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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

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< Velocity and Displacement in SHM Calculators

Distance Traveled by Particle in SHM until Velocity becomes Zero

LaTeX Go Maximum Displacement = sqrt((Velocity^2)/(Angular Frequency^2)+Displacement^2)

Velocity of Particle in SHM

LaTeX Go Velocity = Angular Frequency*sqrt(Maximum Displacement^2-Displacement^2)

Square of Different Distances Traveled in SHM

LaTeX Go Total Distance Traveled = Maximum Displacement^2-Displacement^2

Distance Traveled in SHM given Angular Frequency

LaTeX Go Displacement = Acceleration/(-Angular Frequency^2)

Distance Traveled in SHM given Angular Frequency Formula

LaTeX Go

Displacement = Acceleration/(-Angular Frequency^2)
S = a/(-ω^2)

What is oscillation ?

Oscillation refers to repetitive back-and-forth or cyclical motion around a central equilibrium position. It is a fundamental concept in physics and engineering, describing various types of periodic motion where an object or system moves alternately in opposite directions.

How to Calculate Distance Traveled in SHM given Angular Frequency?

Distance Traveled in SHM given Angular Frequency calculator uses Displacement = Acceleration/(-Angular Frequency^2) to calculate the Displacement, Distance Traveled in SHM given Angular Frequency formula is defined as a calculation that determines the distance traveled by an object in simple harmonic motion, taking into account the acceleration and angular frequency of the motion, providing a precise measure of the object's displacement over time. Displacement is denoted by S symbol.

How to calculate Distance Traveled in SHM given Angular Frequency using this online calculator? To use this online calculator for Distance Traveled in SHM given Angular Frequency, enter Acceleration (a) & Angular Frequency (ω) and hit the calculate button. Here is how the Distance Traveled in SHM given Angular Frequency calculation can be explained with given input values -> 65.06419 = 6875.88/(-10.28508^2).

FAQ

What is Distance Traveled in SHM given Angular Frequency?

Distance Traveled in SHM given Angular Frequency formula is defined as a calculation that determines the distance traveled by an object in simple harmonic motion, taking into account the acceleration and angular frequency of the motion, providing a precise measure of the object's displacement over time and is represented as S = a/(-ω^2) or Displacement = Acceleration/(-Angular Frequency^2). Acceleration is the rate of change in velocity to the change in time & Angular Frequency of a steadily recurring phenomenon expressed in radians per second.

How to calculate Distance Traveled in SHM given Angular Frequency?

Distance Traveled in SHM given Angular Frequency formula is defined as a calculation that determines the distance traveled by an object in simple harmonic motion, taking into account the acceleration and angular frequency of the motion, providing a precise measure of the object's displacement over time is calculated using Displacement = Acceleration/(-Angular Frequency^2). To calculate Distance Traveled in SHM given Angular Frequency, you need Acceleration (a) & Angular Frequency (ω). With our tool, you need to enter the respective value for Acceleration & Angular Frequency 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 Displacement?

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

Displacement = sqrt(Maximum Displacement^2-Velocity^2/Angular Frequency^2)

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