Frequency of a Simple Harmonic Motion Calculator

This tool calculates the frequency of an object undergoing simple harmonic motion (SHM), a type of periodic motion where the restoring force is directly proportional to the displacement. 
CalculationInputs﻿﻿k
:200N/m​
﻿
﻿﻿m
:2.00kg​
﻿
﻿
Output﻿﻿f
:1.59Hz​
﻿
﻿
f=12π×kmf=\frac{1}{2\pi} \times \sqrt{\frac{k}{m}}f=2π1​×mk​​
Where:
﻿﻿f
 is the frequency of the SHM, in hertz (Hz)
﻿﻿k
 is the force constant of the system, such as the spring constant, in newtons per meter (N/m)
﻿﻿m
 is the mass of the oscillating body, in kilograms (kg)
ExplanationSimple Harmonic Motion (SHM) is a fundamental concept in mechanics and physics, serving as a model for various motions such as spring oscillations and pendulum swings.
﻿
Simple Harmonic Motion of a spring, indicating the amplitude (A), time period (T) and frequency (f)
This tool is particularly useful in scenarios such as:
Studying the dynamics of springs, pendulums, and other systems exhibiting simple harmonic motion.
Designing mechanical and structural components where specific vibrational characteristics are required.
Educational settings where the principles of harmonic motion are being taught or demonstrated.
Related ResourcesDamped Harmonic Motion Energy Loss Calculator
Frequency of a Simple Harmonic Motion Calculator
Time Period of a Simple Harmonic Motion Calculator
Simple Harmonic Motion Calculator
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ReferencesHalliday, D., Resnick, R., & Walker, J. (2014). Fundamentals of Physics (10th ed.). Wiley.
Tipler, P. A., & Mosca, G. (2008). Physics for Scientists and Engineers (6th ed.). W.H. Freeman and Company.
Young, H. D., & Freedman, R. A. (2012). University Physics with Modern Physics (13th ed.). Pearson.