Velocity of Particle in SHM Calculator

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

✖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 of Particle in SHM [V]

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Velocity of Particle in SHM Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

Angular Frequency: 10.28508 Revolution per Second --> 10.28508 Hertz (Check conversion here)
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

V = ω*sqrt(S_max^2-S^2) --> 10.28508*sqrt(65.26152^2-65^2)

Evaluating ... ...

V = 60.0299800013533

STEP 3: Convert Result to Output's Unit

60.0299800013533 Meter per Second --> No Conversion Required

FINAL ANSWER

60.0299800013533 ≈ 60.02998 Meter per Second <-- Velocity

(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)

Velocity of Particle in SHM Formula

LaTeX Go

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

What is Force?

Force is a fundamental concept in physics that describes any interaction that can change the motion or state of an object. It is a vector quantity, meaning it has both magnitude (strength) and direction.

How to Calculate Velocity of Particle in SHM?

Velocity of Particle in SHM calculator uses Velocity = Angular Frequency*sqrt(Maximum Displacement^2-Displacement^2) to calculate the Velocity, Velocity of Particle in SHM formula is defined as a measure of the speed of a particle undergoing simple harmonic motion, calculated by multiplying the angular frequency by the square root of the difference between the squares of the maximum displacement and the current displacement. Velocity is denoted by V symbol.

How to calculate Velocity of Particle in SHM using this online calculator? To use this online calculator for Velocity of Particle in SHM, enter Angular Frequency (ω), Maximum Displacement (S_max) & Displacement (S) and hit the calculate button. Here is how the Velocity of Particle in SHM calculation can be explained with given input values -> 60.02998 = 10.28508*sqrt(65.26152^2-65^2).

FAQ

What is Velocity of Particle in SHM?

Velocity of Particle in SHM formula is defined as a measure of the speed of a particle undergoing simple harmonic motion, calculated by multiplying the angular frequency by the square root of the difference between the squares of the maximum displacement and the current displacement and is represented as V = ω*sqrt(S_max^2-S^2) or Velocity = Angular Frequency*sqrt(Maximum Displacement^2-Displacement^2). Angular Frequency of a steadily recurring phenomenon expressed in radians per second, 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 Velocity of Particle in SHM?

Velocity of Particle in SHM formula is defined as a measure of the speed of a particle undergoing simple harmonic motion, calculated by multiplying the angular frequency by the square root of the difference between the squares of the maximum displacement and the current displacement is calculated using Velocity = Angular Frequency*sqrt(Maximum Displacement^2-Displacement^2). To calculate Velocity of Particle in SHM, you need Angular Frequency (ω), Maximum Displacement (S_max) & Displacement (S). With our tool, you need to enter the respective value for Angular Frequency, Maximum Displacement & Displacement and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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