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Distance Traveled given Velocity Formula

GoDistance Traveled in SHM given Angular Frequency 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 = \sqrt{{S max}^{2} - \frac{V^{2}}{ω^{2}}}

S - Displacement?S_max - Maximum Displacement?V - Velocity?ω - Angular Frequency?

Distance Traveled given Velocity Example

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Here is how the Distance Traveled given Velocity equation looks like with Values.

Here is how the Distance Traveled given Velocity equation looks like with Units.

Here is how the Distance Traveled given Velocity equation looks like.

65.0003 = \sqrt{{65.2615}^{2} - \frac{60^{2}}{{10.2851}^{2}}}

65.0003m = \sqrt{{65.2615m}^{2} - \frac{{60m/s}^{2}}{{10.2851rev/s}^{2}}}

65.0003 = \sqrt{{65.2615}^{2} - \frac{60^{2}}{{10.2851}^{2}}}

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Distance Traveled given Velocity Solution

Follow our step by step solution on how to calculate Distance Traveled given Velocity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \sqrt{{65.2615m}^{2} - \frac{{60m/s}^{2}}{{10.2851rev/s}^{2}}}

Next Step Convert Units

∴

S = \sqrt{{65.2615m}^{2} - \frac{{60m/s}^{2}}{{10.2851Hz}^{2}}}

Next Step Prepare to Evaluate

∴

S = \sqrt{{65.2615}^{2} - \frac{60^{2}}{{10.2851}^{2}}}

Next Step Evaluate

∴

S = 65.0002616747435m

LAST Step Rounding Answer

∴

S = 65.0003m

Distance Traveled given Velocity Formula Elements

Variables

Functions

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

Maximum Displacement

Maximum Displacement refers to the furthest distance that a particle or object moves away from its equilibrium position during an oscillatory motion.

Symbol: S_max

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Maximum Displacement

Velocity

Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Displacement

Go Distance Traveled in SHM given Angular Frequency

S = \frac{a}{- 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 given Velocity?

Distance Traveled given Velocity evaluator uses Displacement = sqrt(Maximum Displacement^2-Velocity^2/Angular Frequency^2) to evaluate the Displacement, Distance Traveled given Velocity formula defined as a calculation of the total distance covered by an object in simple harmonic motion, taking into account its initial velocity, angular frequency, and initial distance traveled, providing a precise measure of its movement over time. Displacement is denoted by S symbol.

How to evaluate Distance Traveled given Velocity using this online evaluator? To use this online evaluator for Distance Traveled given Velocity, enter Maximum Displacement (S_max), Velocity (V) & Angular Frequency (ω) and hit the calculate button.

FAQs on Distance Traveled given Velocity

What is the formula to find Distance Traveled given Velocity?

The formula of Distance Traveled given Velocity is expressed as Displacement = sqrt(Maximum Displacement^2-Velocity^2/Angular Frequency^2). Here is an example- 65.00026 = sqrt(65.26152^2-60^2/10.28508^2).

How to calculate Distance Traveled given Velocity?

With Maximum Displacement (S_max), Velocity (V) & Angular Frequency (ω) we can find Distance Traveled given Velocity using the formula - Displacement = sqrt(Maximum Displacement^2-Velocity^2/Angular Frequency^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Displacement?

Here are the different ways to Calculate Displacement-

Displacement=Acceleration/(-Angular Frequency^2)

Can the Distance Traveled given Velocity be negative?

Yes, the Distance Traveled given Velocity, measured in Length can be negative.

Which unit is used to measure Distance Traveled given Velocity?

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

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