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

Kinematics of Linear SHM Calculator
Kinematics of Linear SHM Calculator Results (detailed calculations and formula below)
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
Position of the object calculation
x(t) = A × sin(/T × t + φ)
x(t) = × sin(2 × / × + )
x(t) = × sin(/ × + )
x(t) = × sin( × + )
x(t) = × sin()
x(t) = ×
x(t) =
Velocity of the object calculation
v(t) = A × /T × sin(/T × t + φ)
v(t) = × 2 × / × sin(2 × / × + )
v(t) = × / × sin(/ × + )
v(t) = × × sin( × + )
v(t) = × × sin()
v(t) = × ×
v(t) =
Acceleration of the object calculation
a(t) = -A × (/T)2 × cos(/T × t + φ)
a(t) = - × (2 × /)2 × cos(2 × / × + )
a(t) = - × (/)2 × cos(/ × + )
a(t) = - × ()2 × cos( × + )
a(t) = - × × cos()
a(t) = - × ×
a(t) =
Kinematics of Linear SHM Calculator Input Values
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.

We hope you found the Kinematics of Linear SHM Calculator useful with your Physics revision, if you did, we kindly request that you rate this Physics calculator and, if you have time, share to your favourite social network. This allows us to allocate future resource and keep these Physics calculators and educational material free for all to use across the globe. We believe everyone should have free access to Physics educational material, by sharing you help us reach all Physics students and those interested in Physics across the globe.

[ 1 Votes ]
Discover Physics with free Physics Revision Notes and Physics Calculator: Kinematics of Linear SHM. This image shows the properties and kinematics of linear shm formula for the Kinematics of Linear SHM. This calculator will calculate th position of an oscillating object at any instant of a SHM, the velocity of an oscillating object at any instant of a SHM and the acceleration of an oscillating object at any instant of a SHM

Related Physics Sections with Tutorials

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.

Physics Calculators

You may also find the following Physics calculators useful.