Distance Traveled in SHM given Angular Frequency Calculator

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✖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%

✖Distance Traveled defines how much path an object has covered to reach its destination in a given period.ⓘ Distance Traveled in SHM given Angular Frequency [D]

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Formula

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Distance Traveled in SHM given Angular Frequency

Formula

`"D" = "a"/(-"ω"^2)`

Example

`"0.132477m"="14m/s²"/(-("10.28rev/s")^2)`

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Distance Traveled in SHM given Angular Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance Traveled = Acceleration/(-Angular Frequency^2)
D = a/(-ω^2)
This formula uses 3 Variables

Variables Used

Distance Traveled - (Measured in Meter) - Distance Traveled defines how much path an object has covered to reach its destination in a given period.
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: 14 Meter per Square Second --> 14 Meter per Square Second No Conversion Required
Angular Frequency: 10.28 Revolution per Second --> 10.28 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = a/(-ω^2) --> 14/(-10.28^2)

Evaluating ... ...

D = 0.132477403140093

STEP 3: Convert Result to Output's Unit

0.132477403140093 Meter --> No Conversion Required

FINAL ANSWER

0.132477403140093 ≈ 0.132477 Meter <-- Distance Traveled

(Calculation completed in 00.004 seconds)

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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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< 10+ Simple Harmonic Motion(SHM) Calculators

Position of Particle in SHM

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

Distance Traveled by Particle in SHM until Velocity becomes Zero

Go Distance Traveled when Velocity becomes 0 = sqrt((Velocity^2)/(Angular Frequency^2)+Distance Traveled^2)

Velocity of Particle in SHM

Go Velocity = Angular Frequency*sqrt(Distance Traveled when Velocity becomes 0^2-Distance Traveled^2)

Square of Different Distances Traveled in SHM

Go Total Distance Traveled = Distance Traveled when Velocity becomes 0^2-Distance Traveled^2

Distance Traveled in SHM given Angular Frequency

Go Distance Traveled = Acceleration/(-Angular Frequency^2)

Acceleration in SHM given Angular Frequency

Go Acceleration = -Angular Frequency^2*Distance Traveled

Restoring Force in SHM

Go Restoring Force = Spring Constant*Distance Traveled

Angular Frequency in SHM

Go Angular Frequency = (2*pi)/Time Period SHM

Time Period of SHM

Go Time Period SHM = (2*pi)/Angular Frequency

Frequency of SHM

Go Frequency = 1/Time Period SHM

Distance Traveled in SHM given Angular Frequency Formula

Distance Traveled = Acceleration/(-Angular Frequency^2)
D = a/(-ω^2)

What is SHM?

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

How to Calculate Distance Traveled in SHM given Angular Frequency?

Distance Traveled in SHM given Angular Frequency calculator uses Distance Traveled = Acceleration/(-Angular Frequency^2) to calculate the Distance Traveled, The distance traveled in SHM given angular frequency formula is defined as the total length of the path traveled between two positions. Distance traveled is not a vector. Specifically, if an object changes direction in its journey, the total distance traveled will be greater than the magnitude of the displacement between those two points. Distance Traveled is denoted by D 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 -> 0.132477 = 14/(-10.28^2).

FAQ

What is Distance Traveled in SHM given Angular Frequency?

The distance traveled in SHM given angular frequency formula is defined as the total length of the path traveled between two positions. Distance traveled is not a vector. Specifically, if an object changes direction in its journey, the total distance traveled will be greater than the magnitude of the displacement between those two points and is represented as D = a/(-ω^2) or Distance Traveled = 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?

The distance traveled in SHM given angular frequency formula is defined as the total length of the path traveled between two positions. Distance traveled is not a vector. Specifically, if an object changes direction in its journey, the total distance traveled will be greater than the magnitude of the displacement between those two points is calculated using Distance Traveled = 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.

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