Acceleration in SHM given Angular Frequency Calculator

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✖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 [D]			+10% -10%

✖Acceleration is the rate of change in velocity to the change in time.ⓘ Acceleration in SHM given Angular Frequency [a]

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Formula

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Acceleration in SHM given Angular Frequency

Formula

`"a" = -"ω"^2*"D"`

Example

`"6869.096m/s²"=-("10.28rev/s")^2*"65m"`

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Acceleration in SHM given Angular Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Distance Traveled - (Measured in Meter) - Distance Traveled defines how much path an object has covered to reach its destination in a given period.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 10.28 Revolution per Second --> 10.28 Hertz (Check conversion here)
Distance Traveled: 65 Meter --> 65 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = -ω^2*D --> -10.28^2*65

Evaluating ... ...

a = 6869.096

STEP 3: Convert Result to Output's Unit

6869.096 Meter per Square Second --> No Conversion Required

FINAL ANSWER

6869.096 Meter per Square Second <-- Acceleration

(Calculation completed in 00.004 seconds)

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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+ 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

Acceleration in SHM given Angular Frequency Formula

Acceleration = -Angular Frequency^2*Distance Traveled
a = -ω^2*D

What is SHM?

Simple harmonic motion 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 Acceleration in SHM given Angular Frequency?

Acceleration in SHM given Angular Frequency calculator uses Acceleration = -Angular Frequency^2*Distance Traveled to calculate the Acceleration, The Acceleration in SHM given Angular Frequency formula is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. Acceleration is denoted by a symbol.

How to calculate Acceleration in SHM given Angular Frequency using this online calculator? To use this online calculator for Acceleration in SHM given Angular Frequency, enter Angular Frequency (ω) & Distance Traveled (D) and hit the calculate button. Here is how the Acceleration in SHM given Angular Frequency calculation can be explained with given input values -> 6869.096 = -10.28^2*65.

FAQ

What is Acceleration in SHM given Angular Frequency?

The Acceleration in SHM given Angular Frequency formula is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position and is represented as a = -ω^2*D or Acceleration = -Angular Frequency^2*Distance Traveled. Angular Frequency of a steadily recurring phenomenon expressed in radians per second & Distance Traveled defines how much path an object has covered to reach its destination in a given period.

How to calculate Acceleration in SHM given Angular Frequency?

The Acceleration in SHM given Angular Frequency formula is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position is calculated using Acceleration = -Angular Frequency^2*Distance Traveled. To calculate Acceleration in SHM given Angular Frequency, you need Angular Frequency (ω) & Distance Traveled (D). With our tool, you need to enter the respective value for Angular Frequency & Distance Traveled 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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