# Kinematics of Linear SHM Calculator

The Kinematics of Linear SHM Calculator will calculate:

1. Position of an oscillating object at any instant of a SHM
2. Velocity of an oscillating object at any instant of a SHM
3. Acceleration of an oscillating object at any instant of a SHM
 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)0123456789101112131415 Amplitude of oscillation (A) m Period of oscillation (T) s Phase shift (φ) rad Archimedes' constant (π) Time (t) s
Position of the object calculation The position of an oscillating object at any instant of a SHM is m The velocity of an oscillating object at any instant of a SHM is m/s The acceleration of an oscillating object at any instant of a SHM is m/s2 x(t) = A × sin(2π/T × t + φ)x(t) = × sin(2 × / × + )x(t) = × sin(/ × + )x(t) = × sin( × + )x(t) = × sin()x(t) = × x(t) = v(t) = A × 2π/T × sin(2π/T × t + φ)v(t) = × 2 × / × sin(2 × / × + )v(t) = × / × sin(/ × + )v(t) = × × sin( × + )v(t) = × × sin()v(t) = × × v(t) = a(t) = -A × (2π/T)2 × cos(2π/T × t + φ)a(t) = - × (2 × /)2 × cos(2 × / × + )a(t) = - × (/)2 × cos(/ × + )a(t) = - × ()2 × cos( × + )a(t) = - × × cos()a(t) = - × × a(t) = Amplitude of oscillation (A) m Period of oscillation (T) s Phase shift (φ) rad Archimedes' constant (π) Time (t) s

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each kinematics of linear shm calculation, the Kinematics of Linear SHM Calculator will automatically calculate the results and update the Physics formula elements with each element of the kinematics of linear shm calculation. You can then email or print this kinematics of linear shm calculation as required for later use.

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Section 3: Kinematics

Section 6: Centre of Mass and Linear Momentum

Section 10: Oscilations

## The position of an oscillating object at any instant of a SHM Formula and Calculation

x(t) = A × sin(/T × t + φ)

## The velocity of an oscillating object at any instant of a SHM Formula and Calculation

v(t) = A × /T × sin(/T × t + φ)

## The acceleration of an oscillating object at any instant of a SHM Formula and Calculation

a(t) = -A × (/T)2 × cos(/T × t + φ)

## Oscilations 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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