Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically Calculator

✖Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of Spring [k]			+10% -10%
✖Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass of Body [M]			+10% -10%

✖Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.ⓘ Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically [f]

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Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency = sqrt(Stiffness of Spring/Mass of Body)/(2*pi)
f = sqrt(k/M)/(2*pi)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Frequency - (Measured in Hertz) - Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
Mass of Body - (Measured in Kilogram) - Mass of body 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

Stiffness of Spring: 20.03 Newton per Meter --> 20.03 Newton per Meter No Conversion Required
Mass of Body: 12.6 Kilogram --> 12.6 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = sqrt(k/M)/(2*pi) --> sqrt(20.03/12.6)/(2*pi)

Evaluating ... ...

f = 0.200666711574312

STEP 3: Convert Result to Output's Unit

0.200666711574312 Hertz --> No Conversion Required

FINAL ANSWER

0.200666711574312 ≈ 0.200667 Hertz <-- Frequency

(Calculation completed in 00.004 seconds)

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< Closely Coiled Helical Spring Calculators

Periodic Time of Mass Attached to Spring of given Mass

LaTeX Go Time Period SHM = 2*pi*sqrt((Mass of Body+Mass of Spring/3)/Stiffness of Spring)

Frequency of Mass Attached to Spring of given Mass

LaTeX Go Frequency = sqrt(Stiffness of Spring/(Mass of Body+Mass of Spring/3))/(2*pi)

Periodic Time of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically

LaTeX Go Time Period SHM = 2*pi*sqrt(Mass of Body/Stiffness of Spring)

Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically

LaTeX Go Frequency = sqrt(Stiffness of Spring/Mass of Body)/(2*pi)

Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically Formula

LaTeX Go

Frequency = sqrt(Stiffness of Spring/Mass of Body)/(2*pi)
f = sqrt(k/M)/(2*pi)

How does the period of a vertically oscillating spring vary with mass of the spring?

The increase in force proportionally increases the acceleration of the mass, so the mass moves through a greater distance in the same amount of time. Thus, increasing the amplitude has no net effect on the period of the oscillation.

How does mass affect frequency of oscillation?

If one were to increase the mass on an oscillating spring system with a given k, the increased mass will provide more inertia, causing the acceleration due to the restoring force F to decrease (recall Newton's Second Law: F=ma ). This will lengthen the oscillation period and decrease the frequency.

How to Calculate Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically?

Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically calculator uses Frequency = sqrt(Stiffness of Spring/Mass of Body)/(2*pi) to calculate the Frequency, Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically formula is defined as the number of oscillations per unit time of a mass attached to a closely coiled helical spring hanging vertically, which is a fundamental concept in simple harmonic motion. Frequency is denoted by f symbol.

How to calculate Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically using this online calculator? To use this online calculator for Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically, enter Stiffness of Spring (k) & Mass of Body (M) and hit the calculate button. Here is how the Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically calculation can be explained with given input values -> 0.03883 = sqrt(20.03/12.6)/(2*pi).

FAQ

What is Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically?

Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically formula is defined as the number of oscillations per unit time of a mass attached to a closely coiled helical spring hanging vertically, which is a fundamental concept in simple harmonic motion and is represented as f = sqrt(k/M)/(2*pi) or Frequency = sqrt(Stiffness of Spring/Mass of Body)/(2*pi). Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness & Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it.

How to calculate Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically?

Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically formula is defined as the number of oscillations per unit time of a mass attached to a closely coiled helical spring hanging vertically, which is a fundamental concept in simple harmonic motion is calculated using Frequency = sqrt(Stiffness of Spring/Mass of Body)/(2*pi). To calculate Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically, you need Stiffness of Spring (k) & Mass of Body (M). With our tool, you need to enter the respective value for Stiffness of Spring & Mass of Body 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 Frequency?

In this formula, Frequency uses Stiffness of Spring & Mass of Body. We can use 1 other way(s) to calculate the same, which is/are as follows -

Frequency = sqrt(Stiffness of Spring/(Mass of Body+Mass of Spring/3))/(2*pi)

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