Simple Harmonic Motion Calculator

Simple harmonic motion is not that simple when it comes to solving complex SHM problems. Want to solve problems without crunching the complex equation? We’re good to have you. MathCalc has an efficient Simple Harmonic Motion Calculator that can do all the work for you in return for a few simple clicks. It can help you calculate key values including velocity, angular frequency, time period and displacement without any hassle. This calculator is perfect for everyone stuck at SHM problems.

Simple Harmonic Motion Calculator

Calculate period, frequency, and angular frequency

How to Use
  1. Fill in the Required Values
  2. Click "Calculate" Button
  3. View Step-By-Step Solution

What Is Simple Harmonic Motion?

When something moves in a smooth, regular pattern repetitively, it's known as Simple Harmonic Motion. You might have observed it well in a swinging pendulum, in a play swing at a park or in the vibrating string of a guitar. Everything that moves back and forth around a central point is SHM. The center position is also known as equilibrium position and the motion is also known as oscillatory motion.

How to Use the SHM Calculator?

Don't know complex formulas or long equations? No worries. Now you can solve your SHM problems by following these few simple steps;

Step 1: Choose what you want to calculate

Select the system you want to use to calculate the simple harmonic motion from the two options in the drop-down button. You can estimate the time period, frequency, and angular frequency using our Simple Harmonic Motion Calculator.

Step 2: Enter the known values

Depending on what you want to solve, you need to type the known or given values from the question statement of your problem in the relevant boxes. Leave the section with no given value empty. The gravity section is already sorted with a fixed value.

Step 3: Click the “Calculate” button

After entering the given values, all you need to press is the Calculate button at the bottom, and you will instantly get the result of your calculations. You would not be required to worry about units, as the result will be synchronized to the given values.

How Does It Work? – SHM Made Simple

Calculators at MathCalc are as efficient in solving physics problems as your seasoned physics professors. Highly efficient physics experts specifically design our Simple Harmonic Motion calculator. This calculator's work is based on the SHM formulas used in physics. Here are the calculation that it use behind to give you accurate results;

To Calculate Time Period

T = 1/f or T = 2π√(m/k)

To Calculate Angular Frequency

ω = 2πf or ω = √(k/m)

To Calculate Velocity

v(t) = -Aω × sin(ωt + φ)

Where:
A = amplitude (maximum displacement)
ω = angular frequency
φ = phase angle (starts at 0 if not specified)
k = spring constant
m = mass

Let’s say:

If we choose “simple Pendulum” to calculate:

Gravity g = 9.81 m/s²

FAQS

Do I need to know about the complete derivation of SHM to use this calculator?

No, you need to know what to find with the required values, and this calculator will handle it for you.

Is it safe to use in terms of privacy policies?

Yes, we do not track or require any personal information.

Can I use it on my mobile?

Yes, it is perfectly usable on any device, be it a computer, mobile or tablet.

Bonus Tip – Use Correct Units for Accurate Results

While working with a physics calculator, always make sure you're using the right SI units with your data. You can take some help to understand the SI units of essential values;

Stop Worrying About Formulas — Start Calculating With MathCalc

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