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Total Distance Traveled given Velocity and Angular Frequency Formula

GoSquare of Different Distances Traveled in SHM Formula

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Total Distance Traveled is the total distance traveled by the body to cover the space. Check FAQs

D total = \frac{V^{2}}{ω^{2}}

D_total - Total Distance Traveled?V - Velocity?ω - Angular Frequency?

Total Distance Traveled given Velocity and Angular Frequency Example

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Here is how the Total Distance Traveled given Velocity and Angular Frequency equation looks like with Values.

Here is how the Total Distance Traveled given Velocity and Angular Frequency equation looks like with Units.

Here is how the Total Distance Traveled given Velocity and Angular Frequency equation looks like.

34.032 = \frac{60^{2}}{{10.2851}^{2}}

34.032m = \frac{{60m/s}^{2}}{{10.2851rev/s}^{2}}

34.032 = \frac{60^{2}}{{10.2851}^{2}}

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Total Distance Traveled given Velocity and Angular Frequency Solution

Follow our step by step solution on how to calculate Total Distance Traveled given Velocity and Angular Frequency?

FIRST Step Consider the formula

D total = \frac{V^{2}}{ω^{2}}

Next Step Substitute values of Variables

∴

D total = \frac{{60m/s}^{2}}{{10.2851rev/s}^{2}}

Next Step Convert Units

∴

D total = \frac{{60m/s}^{2}}{{10.2851Hz}^{2}}

Next Step Prepare to Evaluate

∴

D total = \frac{60^{2}}{{10.2851}^{2}}

Next Step Evaluate

∴

D total = 34.0319749252692m

LAST Step Rounding Answer

∴

D total = 34.032m

Total Distance Traveled given Velocity and Angular Frequency Formula Elements

Variables

Total Distance Traveled

Total Distance Traveled is the total distance traveled by the body to cover the space.

Symbol: D_total

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Total Distance Traveled

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

Other Formulas to find Total Distance Traveled

Go Square of Different Distances Traveled in SHM

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

Other formulas in Velocity and Displacement in SHM category

Go Distance Traveled in SHM given Angular Frequency

S = \frac{a}{- ω^{2}}

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 Distance from Start given Restoring Force and Constant K

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

How to Evaluate Total Distance Traveled given Velocity and Angular Frequency?

Total Distance Traveled given Velocity and Angular Frequency evaluator uses Total Distance Traveled = (Velocity^2)/(Angular Frequency^2) to evaluate the Total Distance Traveled, Total Distance Traveled given Velocity and Angular Frequency formula is defined as a measure of the maximum distance covered by an object undergoing simple harmonic motion, calculated by relating the velocity and angular frequency of the motion, providing insights into the oscillatory behavior of the object. Total Distance Traveled is denoted by D_total symbol.

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

FAQs on Total Distance Traveled given Velocity and Angular Frequency

What is the formula to find Total Distance Traveled given Velocity and Angular Frequency?

The formula of Total Distance Traveled given Velocity and Angular Frequency is expressed as Total Distance Traveled = (Velocity^2)/(Angular Frequency^2). Here is an example- 34.03197 = (60^2)/(10.28508^2).

How to calculate Total Distance Traveled given Velocity and Angular Frequency?

With Velocity (V) & Angular Frequency (ω) we can find Total Distance Traveled given Velocity and Angular Frequency using the formula - Total Distance Traveled = (Velocity^2)/(Angular Frequency^2).

What are the other ways to Calculate Total Distance Traveled?

Here are the different ways to Calculate Total Distance Traveled-

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

Can the Total Distance Traveled given Velocity and Angular Frequency be negative?

Yes, the Total Distance Traveled given Velocity and Angular Frequency, measured in Length can be negative.

Which unit is used to measure Total Distance Traveled given Velocity and Angular Frequency?

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

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