PHYIC CALCULATOR
Simple Harmonic Motion Calculator
A precise tool.
What is the Simple Harmonic Motion Calculator & How does it work?
Simple Harmonic Motion (SHM) is a type of periodic motion where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of displacement. This results in an oscillatory motion.
The displacement x(t) of an oscillator in SHM can be described by the equation: .
x(t) = A cos(omega t + phi)
A = amplitude, omega = angular frequency, t = time, phi = phase constant
The velocity v(t) and acceleration a(t) can be derived from the displacement equation as: and .
v(t) = -A omega sin(omega t + phi)
v = velocity
a(t) = -A omega^2 cos(omega t + phi)
a = acceleration
Parameters
Result
β
Frequently Asked Questions
What is simple harmonic motion?
Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement.
How do I calculate displacement in SHM?
Displacement in SHM can be calculated using the equation x(t) = A cos(Οt + Ο), where A is amplitude, Ο is angular frequency, t is time, and Ο is phase constant.
What does angular frequency represent in SHM?
Angular frequency (Ο) represents how fast the object oscillates per unit of time, measured in radians per second.
How do I find velocity in simple harmonic motion?
Velocity can be found by taking the derivative of the displacement equation: v(t) = -AΟ sin(Οt + Ο).
What is the phase constant in SHM?
The phase constant (Ο) determines the starting point of the motion and shifts the graph horizontally.
How does amplitude affect simple harmonic motion?
Amplitude (A) affects the maximum displacement from equilibrium; a larger amplitude results in greater oscillations.
Can you explain acceleration in SHM?
Acceleration is given by the second derivative of displacement: a(t) = -AΟΒ² cos(Οt + Ο), always directed towards the equilibrium position.
Results are for informational purposes only and do not constitute professional advice.