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Distance Traveled in SHM given Angular Frequency Formula

GoDistance Traveled given Velocity Formula

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Displacement is a vector quantity that refers to the change in position of an object from its initial point to its final point. Check FAQs

S = \frac{a}{- ω^{2}}

S - Displacement?a - Acceleration?ω - Angular Frequency?

Distance Traveled in SHM given Angular Frequency Example

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Here is how the Distance Traveled in SHM given Angular Frequency equation looks like with Values.

Here is how the Distance Traveled in SHM given Angular Frequency equation looks like with Units.

Here is how the Distance Traveled in SHM given Angular Frequency equation looks like.

64.9999 = \frac{6875.88}{- {10.2851}^{2}}

64.9999m = \frac{6875.88m/s²}{- {10.2851rev/s}^{2}}

64.9999 = \frac{6875.88}{- {10.2851}^{2}}

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Distance Traveled in SHM given Angular Frequency Solution

Follow our step by step solution on how to calculate Distance Traveled in SHM given Angular Frequency?

FIRST Step Consider the formula

S = \frac{a}{- ω^{2}}

Next Step Substitute values of Variables

∴

S = \frac{6875.88m/s²}{- {10.2851rev/s}^{2}}

Next Step Convert Units

∴

S = \frac{6875.88m/s²}{- {10.2851Hz}^{2}}

Next Step Prepare to Evaluate

∴

S = \frac{6875.88}{- {10.2851}^{2}}

Next Step Evaluate

∴

S = 64.9999377081m

LAST Step Rounding Answer

∴

S = 64.9999m

Distance Traveled in SHM given Angular Frequency Formula Elements

Variables

Displacement

Displacement is a vector quantity that refers to the change in position of an object from its initial point to its final point.

Symbol: S

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement

Acceleration

Acceleration is the rate of change in velocity to the change in time.

Symbol: a

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration

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

Other Formulas to find Displacement

Go Distance Traveled given Velocity

S = \sqrt{{S max}^{2} - \frac{V^{2}}{ω^{2}}}

Other formulas in Velocity and Displacement in SHM category

Go Velocity of Particle in SHM

V = ω \cdot \sqrt{{S max}^{2} - S^{2}}

Go Distance Traveled by Particle in SHM until Velocity becomes Zero

S max = \sqrt{\frac{V^{2}}{ω^{2}} + S^{2}}

Go Square of Different Distances Traveled in SHM

D total = {S max}^{2} - S^{2}

Go Distance from Start given Restoring Force and Constant K

S max = - (\frac{F restoring}{K})

How to Evaluate Distance Traveled in SHM given Angular Frequency?

Distance Traveled in SHM given Angular Frequency evaluator uses Displacement = Acceleration/(-Angular Frequency^2) to evaluate 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 evaluate Distance Traveled in SHM given Angular Frequency using this online evaluator? To use this online evaluator for Distance Traveled in SHM given Angular Frequency, enter Acceleration (a) & Angular Frequency (ω) and hit the calculate button.

FAQs on Distance Traveled in SHM given Angular Frequency

What is the formula to find Distance Traveled in SHM given Angular Frequency?

The formula of Distance Traveled in SHM given Angular Frequency is expressed as Displacement = Acceleration/(-Angular Frequency^2). Here is an example- 65.06419 = 6875.88/(-10.28508^2).

How to calculate Distance Traveled in SHM given Angular Frequency?

With Acceleration (a) & Angular Frequency (ω) we can find Distance Traveled in SHM given Angular Frequency using the formula - Displacement = Acceleration/(-Angular Frequency^2).

What are the other ways to Calculate Displacement?

Here are the different ways to Calculate Displacement-

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

Can the Distance Traveled in SHM given Angular Frequency be negative?

Yes, the Distance Traveled in SHM given Angular Frequency, measured in Length can be negative.

Which unit is used to measure Distance Traveled in SHM given Angular Frequency?

Distance Traveled in SHM given Angular Frequency is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance Traveled in SHM given Angular Frequency can be measured.

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