正弦型函数是形如y=Asin (ωx+φ)+k的 函数，其中A，ω，φ，k是 常数，且ω≠0。 函数y=Asin (ωx+φ)， (A>0，ω>0)，x∈R的图象可以看作是用下面的方法得到的：先把y=sinx的图象上所有的点向左 (φ>0)或向右 (φ<0)平行移动|φ|个单位，再把所得各点的横坐标缩短 (ω>1)或伸长 (0<ω<1)到原来的1/ω倍 (纵坐标不变)，再把所得各点的纵坐标伸长 (A> 1)或缩短 (0<A<1)到原来的A倍 (横坐标不变)。 当函数y=Asin (ωx+φ)， (A> 0，ω> 0)，x∈〔0，+∞)表示一个振动量 …

v(t) = dx(t)/dt = -ω A sin(ωt + φ), and the acceleration is given by. a(t) = dv(t)/dt = -ω 2 A cos(ωt + φ) = -ω 2 x. The quantity φ is called the phase constant. It is determined by the initial conditions of the motion.

2018年9月15日 · The graph will have the equation x = Asin(wt). Now I try to break this down in order to understand why this equation is true for SHM. Firstly, as I said the variation of x with t produces a sine curve, explaining why X is a function of sin(t).

2021年1月14日 · If we pick the $A\sin(\omega t+\phi)$ solution this gives the conditions $$\cases{A\sin\phi=x_0\\A\omega\cos\phi=v_0}$$ which in principle allows you to solve for $\phi$ and $A$. Does this answer your question?

2013年5月28日 · 可借用物理概念来描述，在电学中，f (t)=Asin (ωt+φ)，g (t)=Acos (ωt+φ)，表示一个单频率的电信号，A称为信号幅度，ω称为角频率 (弧度/秒)，ω=2πf，f称为信号频率 (赫兹)，f=1/T，即信号每秒变化的周期数，T称为信号周期 (秒)，t称为时间， (ωt+φ)称为信号的相位，φ称为信号的初始相位 (弧度)，即t=0时刻信号的相位。 那和theta到底啥关系呢？ 你这个theta是哪个量？ 问题中没说清楚，如何回答？ 函数sin (wt+b)，wt表示啥？

2010年5月31日 · x = A sin(wt) where A = amplitude, w = angular velocity, t = time. The way it's explained in my textbook is very confusing.

2017年8月15日 · Using $\sin(kx-\omega t)$ or $\sin(\omega t-kx)$ does not make a difference: it is just a matter of convention. You can very legitimately change $A\sin(kx-\omega t)$ to $-A\sin(\omega t- kx)$ without causing any damage.

Geometric derivation of simple harmonic motion. A point p moves at constant speed on the circumference of a circle in counter-clockwise motion. Its projection OC on the vertical axis XOY is shown at right as a function of the angle q. The function described is that of a sine wave.

Simple harmonic motion occurs when the force F acting on an object is directly proportional to the displacement x of the object, but in the opposite direction. The force is called a restoring force because it always acts on the object to return it to its equilibrium position.

This applet is intended allow students to explore the effects of these parameters and identify the relationship between the graph and the function. (C) Copyright 2011 - Dr. Scott R. Franklin.