Angular Frequency given Constant K and Mass Calculator

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✖Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter.ⓘ Spring Constant [K]			+10% -10%
✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [M]			+10% -10%

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

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Formula

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Angular Frequency given Constant K and Mass

Formula

`"ω" = sqrt("K"/"M")`

Example

`"0.531119rev/s"=sqrt("10"/"35.45kg")`

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Angular Frequency given Constant K and Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Frequency = sqrt(Spring Constant/Mass)
ω = sqrt(K/M)
This formula uses 1 Functions, 3 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.
Spring Constant - Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

STEP 1: Convert Input(s) to Base Unit

Spring Constant: 10 --> No Conversion Required
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = sqrt(K/M) --> sqrt(10/35.45)

Evaluating ... ...

ω = 0.531119051728145

STEP 3: Convert Result to Output's Unit

0.531119051728145 Hertz -->0.531119051728145 Revolution per Second (Check conversion here)

FINAL ANSWER

0.531119051728145 ≈ 0.531119 Revolution per Second <-- Angular Frequency

(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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< 2 Angular Frequency Calculators

Angular Frequency given Velocity and Distance

Go Angular Frequency = sqrt(Velocity^2/(Distance Traveled when Velocity becomes 0^2-Distance Traveled^2))

Angular Frequency given Constant K and Mass

Go Angular Frequency = sqrt(Spring Constant/Mass)

Angular Frequency given Constant K and Mass Formula

Angular Frequency = sqrt(Spring Constant/Mass)
ω = sqrt(K/M)

What is shm?

Simple harmonic motion is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point.

How to Calculate Angular Frequency given Constant K and Mass?

Angular Frequency given Constant K and Mass calculator uses Angular Frequency = sqrt(Spring Constant/Mass) to calculate the Angular Frequency, The Angular Frequency given Constant K and Mass formula is defined as the SHM displacement equation. It is related to the frequency (f) of the motion, and inversely related to the period (T): The frequency is how many oscillations there are per second, having units of hertz (Hz); the period is how long it takes to make one oscillation. Angular Frequency is denoted by ω symbol.

How to calculate Angular Frequency given Constant K and Mass using this online calculator? To use this online calculator for Angular Frequency given Constant K and Mass, enter Spring Constant (K) & Mass (M) and hit the calculate button. Here is how the Angular Frequency given Constant K and Mass calculation can be explained with given input values -> 0.531119 = sqrt(10/35.45).

FAQ

What is Angular Frequency given Constant K and Mass?

The Angular Frequency given Constant K and Mass formula is defined as the SHM displacement equation. It is related to the frequency (f) of the motion, and inversely related to the period (T): The frequency is how many oscillations there are per second, having units of hertz (Hz); the period is how long it takes to make one oscillation and is represented as ω = sqrt(K/M) or Angular Frequency = sqrt(Spring Constant/Mass). Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter & Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

How to calculate Angular Frequency given Constant K and Mass?

The Angular Frequency given Constant K and Mass formula is defined as the SHM displacement equation. It is related to the frequency (f) of the motion, and inversely related to the period (T): The frequency is how many oscillations there are per second, having units of hertz (Hz); the period is how long it takes to make one oscillation is calculated using Angular Frequency = sqrt(Spring Constant/Mass). To calculate Angular Frequency given Constant K and Mass, you need Spring Constant (K) & Mass (M). With our tool, you need to enter the respective value for Spring Constant & Mass 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 Spring Constant & Mass. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angular Frequency = sqrt(Velocity^2/(Distance Traveled when Velocity becomes 0^2-Distance Traveled^2))

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