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Energy in SHM Calculator
The Energy in SHM Calculator will calculate:
- Mechanical energy in a spring performing SHM
- Kinetic and potential energy of an oscillating spring in a given instant when performing SHM
| The mechanical energy of an oscillating spring is J |
| The kinetic energy of the object attached to the spring is J |
| The potential energy of the object attached to the spring is J |
| Mechanical energy of an oscillating spring calculation |
|---|
| ME = k × A2/2 ME = × 2/2 ME = × /2 ME = /2 ME = |
| Kinetic and potential energy of an oscillating spring in a given instant when performing SHM calculation |
Kinetic energy of the object attached to the springKE = m × 2π/T × A × (sin2π/T × t)2/2KE = × / × × (sin / × )2/2 KE = × × × (sin × )2/2 KE = × × × ( × )2/2 KE = × × × ()2/2 KE = × × × /2 KE = /2 KE = Potential energy of the object attached to the springPE = k × A × (cos 2π/T × t)2/2PE = × × (cos/ × )2/2 PE = × × (cos × )2/2 PE = × × ( × )2/2 PE = × × ()2/2 PE = × × /2 PE = /2 PE = |
| Input Values |
| Amplitude of oscillation (A) m |
| Period of oscillation (T) s |
| Archimedes' constant (π) |
| Time (t) s |
| Mass of the oscillating object (m) kg |
| Spring constant (k) N/m |
Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each energy in SHM calculation, the Energy in SHM Calculator will automatically calculate the results and update the Physics formula elements with each element of the energy in SHM calculation. You can then email or print this energy in SHM calculation as required for later use.
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Related Physics Chapters with Tutorials
Section 6: Centre of Mass and Linear Momentum
Using the Energy in SHM Calculator
The following restrictions and limatations apply when using the Energy in SHM Calculator.
- Air resistance is not considered
- Oscillations are taken as standing (sustainable)
- The thread is non-stretchable
- The spring is taken as perfectly elastic
Mechanical energy of an oscillating spring Formula and Calculation
Kinetic and potential energy of an oscillating spring in a given instant when performing SHM Formula and Calculation
Kinetic energy of the object attached to the spring
KE = m × 2π/T × A × (sin2π/T × t)2/2Potential energy of the object attached to the spring
PE = k × A × (cos 2π/T × t)2/2Oscilations Physics Tutorials associated with the Uniform Motion Calculator
The following Physics tutorials are provided within the Oscilations section of our Free Physics Tutorials. Each Oscilations tutorial includes detailed Oscilations formula and example of how to calculate and resolve specific Oscilations questions and problems. At the end of each Oscilations tutorial you will find Oscilations revision questions with a hidden answer that reveals when clicked. This allows you to learn about Oscilations and test your knowledge of Physics by answering the test questions on Oscilations.
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