Periodic Time for One Beat of SHM Formula

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Time Period SHM is time required for the periodic motion. Check FAQs
tp=πLsg
tp - Time Period SHM?Ls - Length of String?g - Acceleration Due to Gravity?π - Archimedes' constant?

Periodic Time for One Beat of SHM Example

With values
With units
Only example

Here is how the Periodic Time for One Beat of SHM equation looks like with Values.

Here is how the Periodic Time for One Beat of SHM equation looks like with Units.

Here is how the Periodic Time for One Beat of SHM equation looks like.

2.4948Edit=3.14166180Edit9.8Edit
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Periodic Time for One Beat of SHM Solution

Follow our step by step solution on how to calculate Periodic Time for One Beat of SHM?

FIRST Step Consider the formula
tp=πLsg
Next Step Substitute values of Variables
tp=π6180mm9.8m/s²
Next Step Substitute values of Constants
tp=3.14166180mm9.8m/s²
Next Step Convert Units
tp=3.14166.18m9.8m/s²
Next Step Prepare to Evaluate
tp=3.14166.189.8
Next Step Evaluate
tp=2.49477321366607s
LAST Step Rounding Answer
tp=2.4948s

Periodic Time for One Beat of SHM Formula Elements

Variables
Constants
Functions
Time Period SHM
Time Period SHM is time required for the periodic motion.
Symbol: tp
Measurement: TimeUnit: s
Note: Value should be greater than 0.
Length of String
Length of String is the length measurement of the string of pendulum.
Symbol: Ls
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Acceleration Due to Gravity
Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.
Symbol: g
Measurement: AccelerationUnit: m/s²
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288
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.
Syntax: sqrt(Number)

Other formulas in Simple Pendulum category

​Go Angular Frequency of Simple Pendulum
ω=gL
​Go Angular Frequency of Spring of given Stiffness Constant
ω=KsM
​Go Restoring Torque for Simple Pendulum
τ=Mgsin(θd)Ls
​Go Angular Acceleration of String
α=gθLs

How to Evaluate Periodic Time for One Beat of SHM?

Periodic Time for One Beat of SHM evaluator uses Time Period SHM = pi*sqrt(Length of String/Acceleration Due to Gravity) to evaluate the Time Period SHM, Periodic Time for One Beat of SHM formula is defined as the time taken by an object to complete one oscillation in simple harmonic motion, which is a fundamental concept in physics that describes the repetitive motion of an object about its mean position. Time Period SHM is denoted by tp symbol.

How to evaluate Periodic Time for One Beat of SHM using this online evaluator? To use this online evaluator for Periodic Time for One Beat of SHM, enter Length of String (Ls) & Acceleration Due to Gravity (g) and hit the calculate button.

FAQs on Periodic Time for One Beat of SHM

What is the formula to find Periodic Time for One Beat of SHM?
The formula of Periodic Time for One Beat of SHM is expressed as Time Period SHM = pi*sqrt(Length of String/Acceleration Due to Gravity). Here is an example- 0.222144 = pi*sqrt(6.18/9.8).
How to calculate Periodic Time for One Beat of SHM?
With Length of String (Ls) & Acceleration Due to Gravity (g) we can find Periodic Time for One Beat of SHM using the formula - Time Period SHM = pi*sqrt(Length of String/Acceleration Due to Gravity). This formula also uses Archimedes' constant and Square Root Function function(s).
Can the Periodic Time for One Beat of SHM be negative?
No, the Periodic Time for One Beat of SHM, measured in Time cannot be negative.
Which unit is used to measure Periodic Time for One Beat of SHM?
Periodic Time for One Beat of SHM is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Periodic Time for One Beat of SHM can be measured.
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