Periodic Time for One Beat of SHM Calculator

✖Length of String is the length measurement of the string of pendulum.ⓘ Length of String [L_string]			+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 One Beat of SHM [t_p]

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Formula

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Periodic Time for One Beat of SHM

Formula

`"t"_{"p"} = pi*sqrt("L"_{"string"}/"g")`

Example

`"0.222144s"=pi*sqrt("49mm"/"9.8m/s²")`

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Periodic Time for One Beat of SHM Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Period SHM = pi*sqrt(Length of String/Acceleration due to Gravity)
t_p = pi*sqrt(L_string/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.
Length of String - (Measured in Meter) - Length of String is the length measurement of the string of pendulum.
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

Length of String: 49 Millimeter --> 0.049 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 = pi*sqrt(L_string/g) --> pi*sqrt(0.049/9.8)

Evaluating ... ...

t_p = 0.222144146907918

STEP 3: Convert Result to Output's Unit

0.222144146907918 Second --> No Conversion Required

FINAL ANSWER

0.222144146907918 ≈ 0.222144 Second <-- Time Period SHM

(Calculation completed in 00.006 seconds)

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< 6 Simple Pendulum Calculators

Restoring Torque for Simple Pendulum

Go Torque Exerted on Wheel = Mass of Body*Acceleration due to Gravity*sin(Angle through which the string is displaced)*Length of String

Periodic Time for One Beat of SHM

Go Time Period SHM = pi*sqrt(Length of String/Acceleration due to Gravity)

Angular Acceleration of String

Go Angular Acceleration = Acceleration due to Gravity*Angular Displacement/Length of String

Angular Frequency of Simple Pendulum

Go Angular Frequency = sqrt(Acceleration due to Gravity/Total Length)

Angular Frequency of Spring of given Stiffness Constant

Go Angular Frequency = sqrt(Spring Constant/Mass of Body)

Moment of Inertia of Pendulum Bob

Go Moment of Inertia = Mass of Body*Length of String^2

Periodic Time for One Beat of SHM Formula

Time Period SHM = pi*sqrt(Length of String/Acceleration due to Gravity)
t_p = pi*sqrt(L_string/g)

What is meant by beat frequency?

The beat is produced when two waves of nearby frequencies superimpose when they travel in the same path. This causes a periodic variation of intensity of the resultant wave. The beat frequency is the number of beats produced per second.

How to Calculate Periodic Time for One Beat of SHM?

Periodic Time for One Beat of SHM calculator uses Time Period SHM = pi*sqrt(Length of String/Acceleration due to Gravity) to calculate the Time Period SHM, Periodic time for one beat of SHM is the time interval between two successive maxima or minima. The beat is produced when two waves of nearby frequencies superimpose when they travel in the same path. Time Period SHM is denoted by t_p symbol.

How to calculate Periodic Time for One Beat of SHM using this online calculator? To use this online calculator for Periodic Time for One Beat of SHM, enter Length of String (L_string) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Periodic Time for One Beat of SHM calculation can be explained with given input values -> 0.222144 = pi*sqrt(0.049/9.8).

FAQ

What is Periodic Time for One Beat of SHM?

Periodic time for one beat of SHM is the time interval between two successive maxima or minima. The beat is produced when two waves of nearby frequencies superimpose when they travel in the same path and is represented as t_p = pi*sqrt(L_string/g) or Time Period SHM = pi*sqrt(Length of String/Acceleration due to Gravity). Length of String is the length measurement of the string of pendulum & Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

How to calculate Periodic Time for One Beat of SHM?

Periodic time for one beat of SHM is the time interval between two successive maxima or minima. The beat is produced when two waves of nearby frequencies superimpose when they travel in the same path is calculated using Time Period SHM = pi*sqrt(Length of String/Acceleration due to Gravity). To calculate Periodic Time for One Beat of SHM, you need Length of String (L_string) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Length of String & 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.

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