Distance Traveled given Velocity Calculator

✖Maximum Displacement refers to the furthest distance that a particle or object moves away from its equilibrium position during an oscillatory motion.ⓘ Maximum Displacement [S_max]			+10% -10%
✖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%

✖Displacement is a vector quantity that refers to the change in position of an object from its initial point to its final point.ⓘ Distance Traveled given Velocity [S]

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Distance Traveled given Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Displacement = sqrt(Maximum Displacement^2-Velocity^2/Angular Frequency^2)
S = sqrt(S_max^2-V^2/ω^2)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Displacement - (Measured in Meter) - Displacement is a vector quantity that refers to the change in position of an object from its initial point to its final point.
Maximum Displacement - (Measured in Meter) - Maximum Displacement refers to the furthest distance that a particle or object moves away from its equilibrium position during an oscillatory motion.
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

Maximum Displacement: 65.26152 Meter --> 65.26152 Meter No Conversion Required
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

S = sqrt(S_max^2-V^2/ω^2) --> sqrt(65.26152^2-60^2/10.28508^2)

Evaluating ... ...

S = 65.0002616747435

STEP 3: Convert Result to Output's Unit

65.0002616747435 Meter --> No Conversion Required

FINAL ANSWER

65.0002616747435 ≈ 65.00026 Meter <-- Displacement

(Calculation completed in 00.004 seconds)

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

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Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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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)

Distance Traveled given Velocity Formula

LaTeX Go

Displacement = sqrt(Maximum Displacement^2-Velocity^2/Angular Frequency^2)
S = sqrt(S_max^2-V^2/ω^2)

What is Displacement?

Displacement refers to the change in position of an object from its initial position to its final position, measured in a straight line and often with respect to a reference point or origin. It is a vector quantity, meaning it has both magnitude and direction.

How to Calculate Distance Traveled given Velocity?

Distance Traveled given Velocity calculator uses Displacement = sqrt(Maximum Displacement^2-Velocity^2/Angular Frequency^2) to calculate 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 calculate Distance Traveled given Velocity using this online calculator? To use this online calculator for Distance Traveled given Velocity, enter Maximum Displacement (S_max), Velocity (V) & Angular Frequency (ω) and hit the calculate button. Here is how the Distance Traveled given Velocity calculation can be explained with given input values -> 65.00026 = sqrt(65.26152^2-60^2/10.28508^2).

FAQ

What is Distance Traveled given Velocity?

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 and is represented as S = sqrt(S_max^2-V^2/ω^2) or Displacement = sqrt(Maximum Displacement^2-Velocity^2/Angular Frequency^2). Maximum Displacement refers to the furthest distance that a particle or object moves away from its equilibrium position during an oscillatory motion, 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 Distance Traveled given Velocity?

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 is calculated using Displacement = sqrt(Maximum Displacement^2-Velocity^2/Angular Frequency^2). To calculate Distance Traveled given Velocity, you need Maximum Displacement (S_max), Velocity (V) & Angular Frequency (ω). With our tool, you need to enter the respective value for Maximum Displacement, 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 Displacement?

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

Displacement = Acceleration/(-Angular Frequency^2)

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