Square of Different Distances Traveled in SHM Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Distance Traveled = Maximum Displacement^2-Displacement^2
Dtotal = Smax^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
Dtotal = Smax^2-S^2 --> 65.26152^2-65^2
Evaluating ... ...
Dtotal = 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 00.006 seconds)

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Indian Institute of Information Technology (IIIT), Guwahati
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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
Dtotal = Smax^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 Dtotal 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 (Smax) & 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 Dtotal = Smax^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 (Smax) & 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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