Note: The premise of the initial stage is (A>0, ω > 0), if one of them is not, it can be transformed by inductive formula to meet the above conditions.
Physical quantities describing simple harmonic vibration in physics, such as amplitude, period and frequency, are all related to the constants in this analytical formula.
A is the amplitude of this simple harmonic motion, which is the maximum distance from the equilibrium position of the object making simple harmonic motion; The period of this simple harmonic motion is T=2π/ω, which is the time required for an intermittently moving object to reciprocate once.
The frequency of this simple harmonic vibration is given by the formula f= 1/T=|ω|/2π (the frequency here does not refer to angular velocity). It is the number of times an object does simple harmonic reciprocating motion per unit time.
Extended data:
Operation in the initial stage:
1, the distance the trigonometric function image moves to the left or right = φ/| ω | (note that the sign of the moving distance is positive to the left and negative to the right. Remember the principle of adding left and subtracting right) but this application is not extensive.
2. Bring-in operation method: take a point from the function image, substitute it into the function expression and calculate the initial phase φ.
When the initial phase is zero, the particle represented by cosine is at the "positive terminal", and the particle represented by sine is at the "equilibrium position and positive motion", indicating that the starting position of H is "positive terminal" and the starting position of H' is "equilibrium position and positive motion". Obviously, the fundamental reason for the difference between H and H' is that the initial positions of the particles in the two expressions are different.
Baidu encyclopedia-debut