Periodic Time of Mass Attached to Spring of given Mass 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%
✖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%
✖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 Spring of given Mass [t_p]

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Periodic Time of Mass Attached to Spring of given Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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
Mass of Spring: 0.1 Kilogram --> 0.1 Kilogram No Conversion Required
Stiffness of Spring: 20.03 Newton per Meter --> 20.03 Newton per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_p = 2*pi*sqrt((M+m/3)/k) --> 2*pi*sqrt((12.6+0.1/3)/20.03)

Evaluating ... ...

t_p = 4.98997501771332

STEP 3: Convert Result to Output's Unit

4.98997501771332 Second --> No Conversion Required

FINAL ANSWER

4.98997501771332 ≈ 4.989975 Second <-- Time Period SHM

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Simple Harmonic Motion » Mechanical » Closely Coiled Helical Spring » Periodic Time of Mass Attached to Spring of given Mass

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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)

Periodic Time of Mass Attached to Spring of given Mass Formula

LaTeX Go

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

What is oscillating in the mass spring system?

A mass suspended on a spring will oscillate after being displaced. The period of oscillation is affected by the amount of mass and the stiffness of the spring. This experiment allows the period, displacement, velocity, and acceleration to be investigated by data logging the output from a motion sensor.

How do you find the equilibrium position of a spring?

F = -kx. The proportional constant k is called the spring constant. It is a measure of the spring's stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position.

How to Calculate Periodic Time of Mass Attached to Spring of given Mass?

Periodic Time of Mass Attached to Spring of given Mass calculator uses Time Period SHM = 2*pi*sqrt((Mass of Body+Mass of Spring/3)/Stiffness of Spring) to calculate the Time Period SHM, Periodic Time of Mass Attached to Spring of given Mass formula is defined as the time taken by an object attached to a spring to complete one oscillation, which depends on the mass of the object, the mass of the spring, and the spring constant, and is a fundamental concept in simple harmonic motion. Time Period SHM is denoted by t_p symbol.

How to calculate Periodic Time of Mass Attached to Spring of given Mass using this online calculator? To use this online calculator for Periodic Time of Mass Attached to Spring of given Mass, enter Mass of Body (M), Mass of Spring (m) & Stiffness of Spring (k) and hit the calculate button. Here is how the Periodic Time of Mass Attached to Spring of given Mass calculation can be explained with given input values -> 6.163897 = 2*pi*sqrt((12.6+0.1/3)/20.03).

FAQ

What is Periodic Time of Mass Attached to Spring of given Mass?

Periodic Time of Mass Attached to Spring of given Mass formula is defined as the time taken by an object attached to a spring to complete one oscillation, which depends on the mass of the object, the mass of the spring, and the spring constant, and is a fundamental concept in simple harmonic motion and is represented as t_p = 2*pi*sqrt((M+m/3)/k) or Time Period SHM = 2*pi*sqrt((Mass of Body+Mass of Spring/3)/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, Mass of Spring is defined as the mass density of the spring multiplied by the volume of the spring Wire & 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 Spring of given Mass?

Periodic Time of Mass Attached to Spring of given Mass formula is defined as the time taken by an object attached to a spring to complete one oscillation, which depends on the mass of the object, the mass of the spring, and the spring constant, and is a fundamental concept in simple harmonic motion is calculated using Time Period SHM = 2*pi*sqrt((Mass of Body+Mass of Spring/3)/Stiffness of Spring). To calculate Periodic Time of Mass Attached to Spring of given Mass, you need Mass of Body (M), Mass of Spring (m) & Stiffness of Spring (k). With our tool, you need to enter the respective value for Mass of Body, Mass of Spring & 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, Mass of Spring & 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/Stiffness of Spring)

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