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

✖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%
✖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%

✖Time Period SHM is time required for the periodic motion.ⓘ Periodic Time of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically [t_p]

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

Formula

`"t"_{"p"} = 2*pi*sqrt("M"/"k")`

Example

`"25.7534s"=2*pi*sqrt("12.6kg"/"0.75N/m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Time Period SHM = 2*pi*sqrt(Mass of Body/Stiffness of Spring)
t_p = 2*pi*sqrt(M/k)
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

Time Period SHM - (Measured in Second) - Time Period SHM is time required for the periodic motion.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_p = 2*pi*sqrt(M/k) --> 2*pi*sqrt(12.6/0.75)

Evaluating ... ...

t_p = 25.753396198428

STEP 3: Convert Result to Output's Unit

25.753396198428 Second --> No Conversion Required

FINAL ANSWER

25.753396198428 ≈ 25.7534 Second <-- Time Period SHM

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Simple Harmonic Motion » Closely-coiled Helical Spring » Periodic Time of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically

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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

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

Time Period SHM = 2*pi*sqrt(Mass of Body/Stiffness of Spring)
t_p = 2*pi*sqrt(M/k)

What is the spring mass system?

A spring-mass system in simple terms can be described as a spring system where a block is hung or attached at the free end of the spring. The spring-mass system can usually be used to find the period of any object performing the simple harmonic motion.

Why spring is massless?

In a real spring-mass system, the spring has a non-negligible mass m. Since not all of the spring's length moves at the same velocity v as the suspended mass M, its kinetic energy is not equal to 1/2mv^2.

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

Periodic Time of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically calculator uses Time Period SHM = 2*pi*sqrt(Mass of Body/Stiffness of Spring) to calculate the Time Period SHM, The Periodic Time of Mass attached to Closely Coiled Helical Spring which is hanged Vertically formula is defined as the time taken for the mass to complete one oscillation about the equilibrium position. Time Period SHM is denoted by t_p symbol.

How to calculate Periodic Time of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically using this online calculator? To use this online calculator for Periodic Time of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically, enter Mass of Body (M) & Stiffness of Spring (k) and hit the calculate button. Here is how the Periodic Time of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically calculation can be explained with given input values -> 25.7534 = 2*pi*sqrt(12.6/0.75).

FAQ

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

The Periodic Time of Mass attached to Closely Coiled Helical Spring which is hanged Vertically formula is defined as the time taken for the mass to complete one oscillation about the equilibrium position and is represented as t_p = 2*pi*sqrt(M/k) or Time Period SHM = 2*pi*sqrt(Mass of Body/Stiffness of Spring). Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it & Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

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

The Periodic Time of Mass attached to Closely Coiled Helical Spring which is hanged Vertically formula is defined as the time taken for the mass to complete one oscillation about the equilibrium position is calculated using Time Period SHM = 2*pi*sqrt(Mass of Body/Stiffness of Spring). To calculate Periodic Time of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically, you need Mass of Body (M) & Stiffness of Spring (k). With our tool, you need to enter the respective value for Mass of Body & Stiffness 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 Time Period SHM?

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

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

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