Square of Different Distances Traveled in SHM 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%
✖Displacement is a vector quantity that refers to the change in position of an object from its initial point to its final point.ⓘ Displacement [S]			+10% -10%

✖Total Distance Traveled is the total distance traveled by the body to cover the space.ⓘ Square of Different Distances Traveled in SHM [D_total]

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Square of Different Distances Traveled in SHM Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Distance Traveled = Maximum Displacement^2-Displacement^2
D_total = S_max^2-S^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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Displacement: 65.26152 Meter --> 65.26152 Meter No Conversion Required
Displacement: 65 Meter --> 65 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_total = S_max^2-S^2 --> 65.26152^2-65^2

Evaluating ... ...

D_total = 34.0659927104007

STEP 3: Convert Result to Output's Unit

34.0659927104007 Meter --> No Conversion Required

FINAL ANSWER

34.0659927104007 ≈ 34.06599 Meter <-- Total Distance Traveled

(Calculation completed in 00.004 seconds)

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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)

Square of Different Distances Traveled in SHM Formula

LaTeX Go

Total Distance Traveled = Maximum Displacement^2-Displacement^2
D_total = S_max^2-S^2

What is Vibration?

Vibration refers to the rapid back-and-forth or up-and-down motion of an object or a medium around an equilibrium position. It is a type of mechanical oscillation characterized by periodic or random fluctuations in displacement, velocity, or acceleration.

How to Calculate Square of Different Distances Traveled in SHM?

Square of Different Distances Traveled in SHM calculator uses Total Distance Traveled = Maximum Displacement^2-Displacement^2 to calculate the Total Distance Traveled, Square of Different Distances Traveled in SHM formula is defined as a mathematical expression that calculates the square of the difference between the maximum distance traveled by an object in simple harmonic motion and the distance traveled at a given velocity. Total Distance Traveled is denoted by D_total symbol.

How to calculate Square of Different Distances Traveled in SHM using this online calculator? To use this online calculator for Square of Different Distances Traveled in SHM, enter Maximum Displacement (S_max) & Displacement (S) and hit the calculate button. Here is how the Square of Different Distances Traveled in SHM calculation can be explained with given input values -> 34.01117 = 65.26152^2-65^2.

FAQ

What is Square of Different Distances Traveled in SHM?

Square of Different Distances Traveled in SHM formula is defined as a mathematical expression that calculates the square of the difference between the maximum distance traveled by an object in simple harmonic motion and the distance traveled at a given velocity and is represented as D_total = S_max^2-S^2 or Total Distance Traveled = Maximum Displacement^2-Displacement^2. Maximum Displacement refers to the furthest distance that a particle or object moves away from its equilibrium position during an oscillatory motion & Displacement is a vector quantity that refers to the change in position of an object from its initial point to its final point.

How to calculate Square of Different Distances Traveled in SHM?

Square of Different Distances Traveled in SHM formula is defined as a mathematical expression that calculates the square of the difference between the maximum distance traveled by an object in simple harmonic motion and the distance traveled at a given velocity is calculated using Total Distance Traveled = Maximum Displacement^2-Displacement^2. To calculate Square of Different Distances Traveled in SHM, you need Maximum Displacement (S_max) & Displacement (S). With our tool, you need to enter the respective value for Maximum Displacement & Displacement 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 Maximum Displacement & Displacement. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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