Periodic Time of Particle Moving with Angular Simple Harmonic Motion Calculator

✖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.ⓘ Angular Displacement [θ]			+10% -10%
✖Angular Acceleration refers to the time rate of change of angular velocity.ⓘ Angular Acceleration [α]			+10% -10%

✖Time Period SHM is time required for the periodic motion.ⓘ Periodic Time of Particle Moving with Angular Simple Harmonic Motion [t_p]

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Periodic Time of Particle Moving with Angular Simple Harmonic Motion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Period SHM = 2*pi*sqrt(Angular Displacement/Angular Acceleration)
t_p = 2*pi*sqrt(θ/α)
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.
Angular Displacement - (Measured in Radian) - 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.
Angular Acceleration - (Measured in Radian per Square Second) - Angular Acceleration refers to the time rate of change of angular velocity.

STEP 1: Convert Input(s) to Base Unit

Angular Displacement: 120 Radian --> 120 Radian No Conversion Required
Angular Acceleration: 190 Radian per Square Second --> 190 Radian per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_p = 2*pi*sqrt(θ/α) --> 2*pi*sqrt(120/190)

Evaluating ... ...

t_p = 4.99336934687702

STEP 3: Convert Result to Output's Unit

4.99336934687702 Second --> No Conversion Required

FINAL ANSWER

4.99336934687702 ≈ 4.993369 Second <-- Time Period SHM

(Calculation completed in 00.020 seconds)

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Periodic Time for SHM

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

Periodic Time of Particle Moving with Angular Simple Harmonic Motion

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

Frequency of Particle Moving with Angular Simple Harmonic Motion

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

Frequency of Oscillation for SHM

LaTeX Go Frequency = 1/Time Period SHM

Periodic Time of Particle Moving with Angular Simple Harmonic Motion Formula

LaTeX Go

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

How is simple harmonic motion related to periodic motion?

Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement (i.e. it follows Hooke's Law). It can serve as a mathematical model of a variety of motions, such as the oscillation of a spring.

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

Periodic Time of Particle Moving with Angular Simple Harmonic Motion calculator uses Time Period SHM = 2*pi*sqrt(Angular Displacement/Angular Acceleration) to calculate 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 calculate Periodic Time of Particle Moving with Angular Simple Harmonic Motion using this online calculator? To use this online calculator for Periodic Time of Particle Moving with Angular Simple Harmonic Motion, enter Angular Displacement (θ) & Angular Acceleration (α) and hit the calculate button. Here is how the Periodic Time of Particle Moving with Angular Simple Harmonic Motion calculation can be explained with given input values -> 54.41398 = 2*pi*sqrt(120/190).

FAQ

What is Periodic Time of Particle Moving with Angular Simple Harmonic Motion?

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 and is represented as t_p = 2*pi*sqrt(θ/α) or Time Period SHM = 2*pi*sqrt(Angular Displacement/Angular Acceleration). 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 & Angular Acceleration refers to the time rate of change of angular velocity.

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

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 is calculated using Time Period SHM = 2*pi*sqrt(Angular Displacement/Angular Acceleration). To calculate Periodic Time of Particle Moving with Angular Simple Harmonic Motion, you need Angular Displacement (θ) & Angular Acceleration (α). With our tool, you need to enter the respective value for Angular Displacement & Angular Acceleration 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 Angular Displacement & Angular Acceleration. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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