Kinematics of Linear SHM Calculator

The Kinematics of Linear SHM Calculator will calculate:

Position of an oscillating object at any instant of a SHM
Velocity of an oscillating object at any instant of a SHM
Acceleration of an oscillating object at any instant of a SHM

Kinematics of Linear SHM Calculator
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Calculator Precision (Decimal Places)
Amplitude of oscillation (A) m
Period of oscillation (T) s
Phase shift (φ) rad
Archimedes' constant (π)
Time (t) s

Kinematics of Linear SHM Calculator Results (detailed calculations and formula below)
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) =
Velocity of the object calculation
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) =
Acceleration of the object calculation
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) =
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.

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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

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

x(t) = A × sin(2π/T × t + φ)

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

v(t) = A × 2π/T × sin(2π/T × t + φ)

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

a(t) = -A × (2π/T)² × cos(2π/T × t + φ)

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