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Time Period of SHM Formula

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Time Period SHM is time required for the periodic motion. Check FAQs

t p = \frac{2 \cdot π}{ω}

t_p - Time Period SHM?ω - Angular Frequency?π - Archimedes' constant?

Time Period of SHM Example

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Here is how the Time Period of SHM equation looks like with Values.

Here is how the Time Period of SHM equation looks like with Units.

Here is how the Time Period of SHM equation looks like.

0.6109 = \frac{2 \cdot 3.1416}{10.2851}

0.6109s = \frac{2 \cdot 3.1416}{10.2851rev/s}

0.6109 = \frac{2 \cdot 3.1416}{10.2851}

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Time Period of SHM Solution

Follow our step by step solution on how to calculate Time Period of SHM?

FIRST Step Consider the formula

t p = \frac{2 \cdot π}{ω}

Next Step Substitute values of Variables

∴

t p = \frac{2 \cdot π}{10.2851rev/s}

Next Step Substitute values of Constants

∴

t p = \frac{2 \cdot 3.1416}{10.2851rev/s}

Next Step Convert Units

∴

t p = \frac{2 \cdot 3.1416}{10.2851Hz}

Next Step Prepare to Evaluate

∴

t p = \frac{2 \cdot 3.1416}{10.2851}

Next Step Evaluate

∴

t p = 0.610902910544166s

LAST Step Rounding Answer

∴

t p = 0.6109s

Time Period of SHM Formula Elements

Variables

Constants

Time Period SHM

Time Period SHM is time required for the periodic motion.

Symbol: t_p

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period SHM

Angular Frequency

Angular Frequency of a steadily recurring phenomenon expressed in radians per second.

Symbol: ω

Measurement: FrequencyUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

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

Other formulas in Basic SHM Equations category

Go Frequency of SHM

f = \frac{1}{t p}

Go Angular Frequency in SHM

ω = \frac{2 \cdot π}{t p}

Go Position of Particle in SHM

X = \frac{\sin (ω \cdot t p + θ)}{A}

Go Mass of Particle given Angular Frequency

M = \frac{K}{ω^{2}}

How to Evaluate Time Period of SHM?

Time Period of SHM evaluator uses Time Period SHM = (2*pi)/Angular Frequency to evaluate the Time Period SHM, Time Period of SHM formula is defined as the time taken by an object to complete one oscillation or cycle in simple harmonic motion, representing the fixed interval of time between two consecutive identical configurations of the oscillating body, it is a fundamental characteristic of SHM, depicting the repetition of motion. Time Period SHM is denoted by t_p symbol.

How to evaluate Time Period of SHM using this online evaluator? To use this online evaluator for Time Period of SHM, enter Angular Frequency (ω) and hit the calculate button.

FAQs on Time Period of SHM

What is the formula to find Time Period of SHM?

The formula of Time Period of SHM is expressed as Time Period SHM = (2*pi)/Angular Frequency. Here is an example- 0.611205 = (2*pi)/10.28508.

How to calculate Time Period of SHM?

With Angular Frequency (ω) we can find Time Period of SHM using the formula - Time Period SHM = (2*pi)/Angular Frequency. This formula also uses Archimedes' constant .

Can the Time Period of SHM be negative?

No, the Time Period of SHM, measured in Time cannot be negative.

Which unit is used to measure Time Period of SHM?

Time Period of SHM is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time Period of SHM can be measured.

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