Periodic Time for SHM Calculator

✖Total Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.ⓘ Total Displacement [d_m]			+10% -10%
✖Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due to Gravity [g]			+10% -10%

✖Time Period SHM is time required for the periodic motion.ⓘ Periodic Time for SHM [t_p]

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Formula

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Periodic Time for SHM

Formula

t p = 2 \cdot π \cdot \sqrt{\frac{d m}{g}}

Example

5.000031 s = 2 \cdot π \cdot \sqrt{\frac{6206 mm}{9.8 m/s²}}

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Periodic Time for SHM Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Period SHM = 2*pi*sqrt(Total Displacement/Acceleration Due to Gravity)
t_p = 2*pi*sqrt(d_m/g)
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.
Total Displacement - (Measured in Meter) - Total Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
Acceleration Due to Gravity - (Measured in Meter per Square Second) - Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

STEP 1: Convert Input(s) to Base Unit

Total Displacement: 6206 Millimeter --> 6.206 Meter (Check conversion here)
Acceleration Due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_p = 2*pi*sqrt(d_m/g) --> 2*pi*sqrt(6.206/9.8)

Evaluating ... ...

t_p = 5.00003122084785

STEP 3: Convert Result to Output's Unit

5.00003122084785 Second --> No Conversion Required

FINAL ANSWER

5.00003122084785 ≈ 5.000031 Second <-- Time Period SHM

(Calculation completed in 00.007 seconds)

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< Basics Calculators

Periodic Time for SHM

Go Time Period SHM = 2*pi*sqrt(Total Displacement/Acceleration Due to Gravity)

Periodic Time of Particle Moving with Angular Simple Harmonic Motion

Go Time Period SHM = 2*pi*sqrt(Angular Displacement/Angular Acceleration)

Frequency of Particle Moving with Angular Simple Harmonic Motion

Go Frequency = sqrt(Angular Acceleration/Angular Displacement)/(2*pi)

Frequency of Oscillation for SHM

Go Frequency = 1/Time Period SHM

Periodic Time for SHM Formula

Time Period SHM = 2*pi*sqrt(Total Displacement/Acceleration Due to Gravity)
t_p = 2*pi*sqrt(d_m/g)

What do you mean by SHM?

Simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side.

What is the difference between SHM and oscillation?

Every oscillatory motion is periodic but all periodic motions are not oscillatory. Furthermore, simple harmonic motion is the simplest type of oscillatory motion. This motion takes place when the restoring force acting on the system is directly proportional to its displacement from its equilibrium position.

How to Calculate Periodic Time for SHM?

Periodic Time for SHM calculator uses Time Period SHM = 2*pi*sqrt(Total Displacement/Acceleration Due to Gravity) to calculate the Time Period SHM, Periodic Time for SHM formula is defined as the time taken by an object to complete one oscillation in simple harmonic motion, which depends on the mass of the object and the gravitational acceleration, providing a fundamental characteristic of the motion. Time Period SHM is denoted by t_p symbol.

How to calculate Periodic Time for SHM using this online calculator? To use this online calculator for Periodic Time for SHM, enter Total Displacement (d_m) & Acceleration Due to Gravity (g) and hit the calculate button. Here is how the Periodic Time for SHM calculation can be explained with given input values -> 0.249073 = 2*pi*sqrt(6.206/9.8).

FAQ

What is Periodic Time for SHM?

Periodic Time for SHM formula is defined as the time taken by an object to complete one oscillation in simple harmonic motion, which depends on the mass of the object and the gravitational acceleration, providing a fundamental characteristic of the motion and is represented as t_p = 2*pi*sqrt(d_m/g) or Time Period SHM = 2*pi*sqrt(Total Displacement/Acceleration Due to Gravity). Total Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position & Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

How to calculate Periodic Time for SHM?

Periodic Time for SHM formula is defined as the time taken by an object to complete one oscillation in simple harmonic motion, which depends on the mass of the object and the gravitational acceleration, providing a fundamental characteristic of the motion is calculated using Time Period SHM = 2*pi*sqrt(Total Displacement/Acceleration Due to Gravity). To calculate Periodic Time for SHM, you need Total Displacement (d_m) & Acceleration Due to Gravity (g). With our tool, you need to enter the respective value for Total Displacement & Acceleration Due to Gravity 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 Total Displacement & Acceleration Due to Gravity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Time Period SHM = 2*pi*sqrt(Angular Displacement/Angular Acceleration)

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