Angular Frequency in SHM Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Frequency = (2*pi)/Time Period SHM
ω = (2*pi)/tp
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Time Period SHM - (Measured in Second) - Time Period SHM is time required for the periodic motion.
STEP 1: Convert Input(s) to Base Unit
Time Period SHM: 0.6 Second --> 0.6 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ω = (2*pi)/tp --> (2*pi)/0.6
Evaluating ... ...
ω = 10.471975511966
STEP 3: Convert Result to Output's Unit
10.471975511966 Hertz -->10.471975511966 Revolution per Second (Check conversion here)
FINAL ANSWER
10.471975511966 10.47198 Revolution per Second <-- Angular Frequency
(Calculation completed in 00.004 seconds)

Credits

Created by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
Dipto Mandal has created this Calculator and 25+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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10+ Simple Harmonic Motion(SHM) Calculators

Position of Particle in SHM
Go Position of a particle = Amplitude*sin(Angular Frequency*Time Period SHM+Phase Angle)
Distance Traveled by Particle in SHM until Velocity becomes Zero
Go Distance Traveled when Velocity becomes 0 = sqrt((Velocity^2)/(Angular Frequency^2)+Distance Traveled^2)
Velocity of Particle in SHM
Go Velocity = Angular Frequency*sqrt(Distance Traveled when Velocity becomes 0^2-Distance Traveled^2)
Square of Different Distances Traveled in SHM
Go Total Distance Traveled = Distance Traveled when Velocity becomes 0^2-Distance Traveled^2
Distance Traveled in SHM given Angular Frequency
Go Distance Traveled = Acceleration/(-Angular Frequency^2)
Acceleration in SHM given Angular Frequency
Go Acceleration = -Angular Frequency^2*Distance Traveled
Restoring Force in SHM
Go Restoring Force = Spring Constant*Distance Traveled
Angular Frequency in SHM
Go Angular Frequency = (2*pi)/Time Period SHM
Time Period of SHM
Go Time Period SHM = (2*pi)/Angular Frequency
Frequency of SHM
Go Frequency = 1/Time Period SHM

Angular Frequency in SHM Formula

Angular Frequency = (2*pi)/Time Period SHM
ω = (2*pi)/tp

What is a shm?

Simple harmonic motion is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point.

How to Calculate Angular Frequency in SHM?

Angular Frequency in SHM calculator uses Angular Frequency = (2*pi)/Time Period SHM to calculate the Angular Frequency, The Angular Frequency in SHM formula is defined as the number of oscillations per second. The minimum time after which the particle keeps on repeating its motion is known as the time period (or) the shortest time taken to complete one oscillation is also defined as the time period. Angular Frequency is denoted by ω symbol.

How to calculate Angular Frequency in SHM using this online calculator? To use this online calculator for Angular Frequency in SHM, enter Time Period SHM (tp) and hit the calculate button. Here is how the Angular Frequency in SHM calculation can be explained with given input values -> 10.47198 = (2*pi)/0.6.

FAQ

What is Angular Frequency in SHM?
The Angular Frequency in SHM formula is defined as the number of oscillations per second. The minimum time after which the particle keeps on repeating its motion is known as the time period (or) the shortest time taken to complete one oscillation is also defined as the time period and is represented as ω = (2*pi)/tp or Angular Frequency = (2*pi)/Time Period SHM. Time Period SHM is time required for the periodic motion.
How to calculate Angular Frequency in SHM?
The Angular Frequency in SHM formula is defined as the number of oscillations per second. The minimum time after which the particle keeps on repeating its motion is known as the time period (or) the shortest time taken to complete one oscillation is also defined as the time period is calculated using Angular Frequency = (2*pi)/Time Period SHM. To calculate Angular Frequency in SHM, you need Time Period SHM (tp). With our tool, you need to enter the respective value for Time Period SHM 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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