Total Distance Traveled given Velocity and Angular Frequency Calculator

✖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.ⓘ Velocity [V]			+10% -10%
✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω]			+10% -10%

✖Total Distance Traveled is the total distance traveled by the body to cover the space.ⓘ Total Distance Traveled given Velocity and Angular Frequency [D_total]

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Total Distance Traveled given Velocity and Angular Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Distance Traveled = (Velocity^2)/(Angular Frequency^2)
D_total = (V^2)/(ω^2)
This formula uses 3 Variables

Variables Used

Total Distance Traveled - (Measured in Meter) - Total Distance Traveled is the total distance traveled by the body to cover the space.
Velocity - (Measured in Meter per Second) - 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.
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

Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Angular Frequency: 10.28508 Revolution per Second --> 10.28508 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_total = (V^2)/(ω^2) --> (60^2)/(10.28508^2)

Evaluating ... ...

D_total = 34.0319749252692

STEP 3: Convert Result to Output's Unit

34.0319749252692 Meter --> No Conversion Required

FINAL ANSWER

34.0319749252692 ≈ 34.03197 Meter <-- Total Distance Traveled

(Calculation completed in 00.020 seconds)

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Home » Physics » Simple Harmonic Motion(SHM) » Basic Physics » Mechanics » Velocity and Displacement in SHM » Total Distance Traveled given Velocity and Angular Frequency

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Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Velocity and Displacement in SHM Calculators

Distance Traveled by Particle in SHM until Velocity becomes Zero

LaTeX Go Maximum Displacement = sqrt((Velocity^2)/(Angular Frequency^2)+Displacement^2)

Velocity of Particle in SHM

LaTeX Go Velocity = Angular Frequency*sqrt(Maximum Displacement^2-Displacement^2)

Square of Different Distances Traveled in SHM

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

Distance Traveled in SHM given Angular Frequency

LaTeX Go Displacement = Acceleration/(-Angular Frequency^2)

Total Distance Traveled given Velocity and Angular Frequency Formula

LaTeX Go

Total Distance Traveled = (Velocity^2)/(Angular Frequency^2)
D_total = (V^2)/(ω^2)

What is Mass?

Mass is a fundamental property of matter that measures the amount of substance in an object or a system. It is a scalar quantity, meaning it has magnitude but no specific direction in space.

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

Total Distance Traveled given Velocity and Angular Frequency calculator uses Total Distance Traveled = (Velocity^2)/(Angular Frequency^2) to calculate 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 calculate Total Distance Traveled given Velocity and Angular Frequency using this online calculator? To use this online calculator for Total Distance Traveled given Velocity and Angular Frequency, enter Velocity (V) & Angular Frequency (ω) and hit the calculate button. Here is how the Total Distance Traveled given Velocity and Angular Frequency calculation can be explained with given input values -> 34.03197 = (60^2)/(10.28508^2).

FAQ

What is Total Distance Traveled given Velocity and Angular Frequency?

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 and is represented as D_total = (V^2)/(ω^2) or Total Distance Traveled = (Velocity^2)/(Angular Frequency^2). 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 & Angular Frequency of a steadily recurring phenomenon expressed in radians per second.

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

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 is calculated using Total Distance Traveled = (Velocity^2)/(Angular Frequency^2). To calculate Total Distance Traveled given Velocity and Angular Frequency, you need Velocity (V) & Angular Frequency (ω). With our tool, you need to enter the respective value for Velocity & Angular Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Distance Traveled?

In this formula, Total Distance Traveled uses Velocity & Angular Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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