Frequency of Mass Attached to Spring of given Mass 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%
✖Mass of Spring is defined as the mass density of the spring multiplied by the volume of the spring Wire.ⓘ Mass of Spring [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 Spring of given Mass [f]

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Formula

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Frequency of Mass Attached to Spring of given Mass

Formula

`"f" = sqrt("k"/("M"+"m"/3))/(2*pi)`

Example

`"0.038702Hz"=sqrt("0.75N/m"/("12.6kg"+"0.25kg"/3))/(2*pi)`

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Frequency of Mass Attached to Spring of given Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency = sqrt(Stiffness of Spring/(Mass of Body+Mass of Spring/3))/(2*pi)
f = sqrt(k/(M+m/3))/(2*pi)
This formula uses 1 Constants, 1 Functions, 4 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.
Mass of Spring - (Measured in Kilogram) - Mass of Spring is defined as the mass density of the spring multiplied by the volume of the spring Wire.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Spring: 0.75 Newton per Meter --> 0.75 Newton per Meter No Conversion Required
Mass of Body: 12.6 Kilogram --> 12.6 Kilogram No Conversion Required
Mass of Spring: 0.25 Kilogram --> 0.25 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = sqrt(k/(M+m/3))/(2*pi) --> sqrt(0.75/(12.6+0.25/3))/(2*pi)

Evaluating ... ...

f = 0.038702058062338

STEP 3: Convert Result to Output's Unit

0.038702058062338 Hertz --> No Conversion Required

FINAL ANSWER

0.038702058062338 ≈ 0.038702 Hertz <-- Frequency

(Calculation completed in 00.021 seconds)

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Home » Physics » Theory of Machine » Simple Harmonic Motion » Closely-coiled Helical Spring » Frequency of Mass Attached to Spring of given Mass

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< 6 Closely-coiled Helical Spring Calculators

Periodic Time of Mass Attached to Spring of given Mass

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

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

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

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

Deflection of Spring when Mass m is Attached to it

Go Deflection of Spring = Mass of Body*Acceleration due to Gravity/Stiffness of Spring

Restoring Force Due to Spring

Go Force = Stiffness of Spring*Displacement of load below equilibrium position

Frequency of Mass Attached to Spring of given Mass Formula

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

How do you tell the difference between frequency and angular frequency?

Angular frequency is a rotation rate. This is represented by the value, ω. Angular frequency can have the units radians per second. Frequency on the other hand might refer to the simple harmonic motion or any object with a repeating motion.

What is frequency in a spring?

The frequency of simple harmonic motion like a mass on a spring is determined by the mass m and the stiffness of the spring expressed in terms of a spring constant k ( see Hooke's Law): If the period is T = s. then the frequency is f = Hz and the angular frequency = rad/s.

How to Calculate Frequency of Mass Attached to Spring of given Mass?

Frequency of Mass Attached to Spring of given Mass calculator uses Frequency = sqrt(Stiffness of Spring/(Mass of Body+Mass of Spring/3))/(2*pi) to calculate the Frequency, The Frequency of Mass attached to Spring of given Mass formula is defined as the number of cycles per second the mass oscillates about the equilibrium position and is the reciprocal of the time period. Frequency is denoted by f symbol.

How to calculate Frequency of Mass Attached to Spring of given Mass using this online calculator? To use this online calculator for Frequency of Mass Attached to Spring of given Mass, enter Stiffness of Spring (k), Mass of Body (M) & Mass of Spring (m) and hit the calculate button. Here is how the Frequency of Mass Attached to Spring of given Mass calculation can be explained with given input values -> 0.038702 = sqrt(0.75/(12.6+0.25/3))/(2*pi).

FAQ

What is Frequency of Mass Attached to Spring of given Mass?

The Frequency of Mass attached to Spring of given Mass formula is defined as the number of cycles per second the mass oscillates about the equilibrium position and is the reciprocal of the time period and is represented as f = sqrt(k/(M+m/3))/(2*pi) or Frequency = sqrt(Stiffness of Spring/(Mass of Body+Mass of Spring/3))/(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 & Mass of Spring is defined as the mass density of the spring multiplied by the volume of the spring Wire.

How to calculate Frequency of Mass Attached to Spring of given Mass?

The Frequency of Mass attached to Spring of given Mass formula is defined as the number of cycles per second the mass oscillates about the equilibrium position and is the reciprocal of the time period is calculated using Frequency = sqrt(Stiffness of Spring/(Mass of Body+Mass of Spring/3))/(2*pi). To calculate Frequency of Mass Attached to Spring of given Mass, you need Stiffness of Spring (k), Mass of Body (M) & Mass of Spring (m). With our tool, you need to enter the respective value for Stiffness of Spring, Mass of Body & Mass of Spring 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 & Mass of Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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