Angular Frequency given Velocity and Distance 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%
✖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%

✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency given Velocity and Distance [ω]

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Formula

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Angular Frequency given Velocity and Distance

Formula

`"ω" = sqrt("V"^2/("S"_{"max"}^2-"S"^2))`

Example

`"10.27994rev/s"=sqrt(("60m/s")^2/(("65.26152m")^2-("65m")^2))`

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Angular Frequency given Velocity and Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
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.
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

Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
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

ω = sqrt(V^2/(S_max^2-S^2)) --> sqrt(60^2/(65.26152^2-65^2))

Evaluating ... ...

ω = 10.2799434546886

STEP 3: Convert Result to Output's Unit

10.2799434546886 Hertz -->10.2799434546886 Revolution per Second (Check conversion here)

FINAL ANSWER

10.2799434546886 ≈ 10.27994 Revolution per Second <-- Angular Frequency

(Calculation completed in 00.004 seconds)

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Home » Physics » Simple Harmonic Motion(SHM) » Basic Physics » Mechanics » Basic SHM Equations » Angular Frequency given Velocity and Distance

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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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< 8 Basic SHM Equations Calculators

Amplitude given Position

Go Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a Particle

Position of Particle in SHM

Go Position of a Particle = sin(Angular Frequency*Time Period SHM+Phase Angle)/Amplitude

Angular Frequency given Velocity and Distance

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

Angular Frequency given Constant K and Mass

Go Angular Frequency = sqrt(Spring Constant/Mass)

Mass of Particle given Angular Frequency

Go Mass = Spring Constant/(Angular Frequency^2)

Angular Frequency in SHM

Go Angular Frequency = (2*pi)/Time Period SHM

Time Period of SHM

Go Time Period SHM = (2*pi)/Angular Frequency

Frequency of SHM

Go Frequency = 1/Time Period SHM

Angular Frequency given Velocity and Distance Formula

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

What is velocity?

Velocity is a vector quantity that describes the rate of change of an object's position with respect to time, including both its speed and direction of motion. It is an essential concept in physics and engineering, particularly in the study of mechanics.

How to Calculate Angular Frequency given Velocity and Distance?

Angular Frequency given Velocity and Distance calculator uses Angular Frequency = sqrt(Velocity^2/(Maximum Displacement^2-Displacement^2)) to calculate the Angular Frequency, Angular Frequency given Velocity and Distance formula is defined as a measure of the rate of oscillations in simple harmonic motion, calculated by taking the square root of the velocity squared divided by the difference between the squared distances at zero velocity and at a given velocity. Angular Frequency is denoted by ω symbol.

How to calculate Angular Frequency given Velocity and Distance using this online calculator? To use this online calculator for Angular Frequency given Velocity and Distance, enter Velocity (V), Maximum Displacement (S_max) & Displacement (S) and hit the calculate button. Here is how the Angular Frequency given Velocity and Distance calculation can be explained with given input values -> 10.27994 = sqrt(60^2/(65.26152^2-65^2)).

FAQ

What is Angular Frequency given Velocity and Distance?

Angular Frequency given Velocity and Distance formula is defined as a measure of the rate of oscillations in simple harmonic motion, calculated by taking the square root of the velocity squared divided by the difference between the squared distances at zero velocity and at a given velocity and is represented as ω = sqrt(V^2/(S_max^2-S^2)) or Angular Frequency = sqrt(Velocity^2/(Maximum Displacement^2-Displacement^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, 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 Angular Frequency given Velocity and Distance?

Angular Frequency given Velocity and Distance formula is defined as a measure of the rate of oscillations in simple harmonic motion, calculated by taking the square root of the velocity squared divided by the difference between the squared distances at zero velocity and at a given velocity is calculated using Angular Frequency = sqrt(Velocity^2/(Maximum Displacement^2-Displacement^2)). To calculate Angular Frequency given Velocity and Distance, you need Velocity (V), Maximum Displacement (S_max) & Displacement (S). With our tool, you need to enter the respective value for Velocity, 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 Angular Frequency?

In this formula, Angular Frequency uses Velocity, Maximum Displacement & Displacement. We can use 2 other way(s) to calculate the same, which is/are as follows -

Angular Frequency = (2*pi)/Time Period SHM
Angular Frequency = sqrt(Spring Constant/Mass)

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