Enter the amplitude, time, angular frequency of an object in simple harmonic motion. The calculator will evaluate and display the velocity, displacement, and acceleration.
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Simple Harmonic Motion Formula
The following formulas are used by the calculator above to calculate the displacement, acceleration, and velocity of an object in harmonic motion.
y = A * sin(wt)
v = A * w * cos(wt)
a = - A * w² * sin(wt)
- Where y is the displacement
- v is the velocity
- a is the acceleration
- w is the angular frequency (rad/sec)
- t is the time (sec)
- A is the amplitude
The units for each of of the 3 equations above depend on the amplitude. For example if the amplitude is measure in inches, displacement is in in, velocity is in/s, and acceleration is in/s^2
Simple Harmonic Motion Definition
Simple harmonic motion is defined as the motion of a frictionless pendulum or suspended mass.
Simple Harmonic Motion Example
How to calculate simple harmonic motion?
- First, determine the amplitude.
Measure the amplitude.
- Next, determine the angular frequency.
Measure the angular frequency.
- Next, determine the total time.
Measure the total time of the motion.
- Finally, calculate.
Calculate the displacement, velocity, and acceleration using the formulas above.
Simple harmonic motion is motion described by swinging back and forth like a pendulum and taking the assumption that no outside forces act on it. That is it wouldn’t slow down once started. This is obviously a simplistic view since air resistance and friction would work against it, hence the the name “simple”