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Periodic Time of Particle Moving with Angular Simple Harmonic Motion Formula

GoPeriodic Time for SHM Formula

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

t p = 2 \cdot π \cdot \sqrt{\frac{θ}{α}}

t_p - Time Period SHM?θ - Angular Displacement?α - Angular Acceleration?π - Archimedes' constant?

Periodic Time of Particle Moving with Angular Simple Harmonic Motion Example

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Here is how the Periodic Time of Particle Moving with Angular Simple Harmonic Motion equation looks like with Values.

Here is how the Periodic Time of Particle Moving with Angular Simple Harmonic Motion equation looks like with Units.

Here is how the Periodic Time of Particle Moving with Angular Simple Harmonic Motion equation looks like.

4.9934 = 2 \cdot 3.1416 \cdot \sqrt{\frac{120}{190}}

4.9934s = 2 \cdot 3.1416 \cdot \sqrt{\frac{120rad}{190rad/s²}}

4.9934 = 2 \cdot 3.1416 \cdot \sqrt{\frac{120}{190}}

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Theory of Machine » fx Periodic Time of Particle Moving with Angular Simple Harmonic Motion

Periodic Time of Particle Moving with Angular Simple Harmonic Motion Solution

Follow our step by step solution on how to calculate Periodic Time of Particle Moving with Angular Simple Harmonic Motion?

FIRST Step Consider the formula

t p = 2 \cdot π \cdot \sqrt{\frac{θ}{α}}

Next Step Substitute values of Variables

∴

t p = 2 \cdot π \cdot \sqrt{\frac{120rad}{190rad/s²}}

Next Step Substitute values of Constants

∴

t p = 2 \cdot 3.1416 \cdot \sqrt{\frac{120rad}{190rad/s²}}

Next Step Prepare to Evaluate

∴

t p = 2 \cdot 3.1416 \cdot \sqrt{\frac{120}{190}}

Next Step Evaluate

∴

t p = 4.99336934687702s

LAST Step Rounding Answer

∴

t p = 4.9934s

Periodic Time of Particle Moving with Angular Simple Harmonic Motion Formula Elements

Variables

Constants

Functions

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 Displacement

Angular Displacement is defined as the shortest angle between the initial and the final points for a given object undergoing circular motion about a fixed point.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angular Displacement

Angular Acceleration

Angular Acceleration refers to the time rate of change of angular velocity.

Symbol: α

Measurement: Angular AccelerationUnit: rad/s²

Note: Value can be positive or negative.

Formulas to find Angular Acceleration

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 to find Time Period SHM

Go Periodic Time for SHM

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

Other formulas in Basics category

Go Frequency of Oscillation for SHM

f = \frac{1}{t p}

Go Frequency of Particle Moving with Angular Simple Harmonic Motion

f = \frac{\sqrt{\frac{α}{θ}}}{2 \cdot π}

How to Evaluate Periodic Time of Particle Moving with Angular Simple Harmonic Motion?

Periodic Time of Particle Moving with Angular Simple Harmonic Motion evaluator uses Time Period SHM = 2*pi*sqrt(Angular Displacement/Angular Acceleration) to evaluate the Time Period SHM, Periodic Time of Particle Moving with Angular Simple Harmonic Motion formula is defined as the time taken by a particle to complete one oscillation or cycle in simple harmonic motion, which is a fundamental concept in physics to describe the periodic motion of an object. Time Period SHM is denoted by t_p symbol.

How to evaluate Periodic Time of Particle Moving with Angular Simple Harmonic Motion using this online evaluator? To use this online evaluator for Periodic Time of Particle Moving with Angular Simple Harmonic Motion, enter Angular Displacement (θ) & Angular Acceleration (α) and hit the calculate button.

FAQs on Periodic Time of Particle Moving with Angular Simple Harmonic Motion

What is the formula to find Periodic Time of Particle Moving with Angular Simple Harmonic Motion?

The formula of Periodic Time of Particle Moving with Angular Simple Harmonic Motion is expressed as Time Period SHM = 2*pi*sqrt(Angular Displacement/Angular Acceleration). Here is an example- 54.41398 = 2*pi*sqrt(120/190).

How to calculate Periodic Time of Particle Moving with Angular Simple Harmonic Motion?

With Angular Displacement (θ) & Angular Acceleration (α) we can find Periodic Time of Particle Moving with Angular Simple Harmonic Motion using the formula - Time Period SHM = 2*pi*sqrt(Angular Displacement/Angular Acceleration). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Time Period SHM?

Here are the different ways to Calculate Time Period SHM-

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

Can the Periodic Time of Particle Moving with Angular Simple Harmonic Motion be negative?

No, the Periodic Time of Particle Moving with Angular Simple Harmonic Motion, measured in Time cannot be negative.

Which unit is used to measure Periodic Time of Particle Moving with Angular Simple Harmonic Motion?

Periodic Time of Particle Moving with Angular Simple Harmonic Motion is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Periodic Time of Particle Moving with Angular Simple Harmonic Motion can be measured.

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