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And since the speed is distance per time, the speed of the wave crest Watched a wave crest, that wave crest would move Wavelength of the wave divided by the period. Speed of that wave disturbance is gonna be equal to the Move back and forth, right and left, parallel to the direction the wave disturbance is traveling. Rightward through the air, it would look like a compressed region, and the air itself would Oscillation or disturbance of the medium is parallel Particles move up and down but the disturbance travels to the right. The particles of the medium actually move. And by oscillation of the medium, we mean the direction in which The direction in which the disturbance travels. For transverse waves, theĭisturbance of the medium is perpendicular to the wave velocity. But you could alsoĬlassify waves by the type of disturbance you've created. So you can classify a waveīy the medium it's in. The material through which the wave can travel. What does medium mean? This is a fancy word for Over significant distances without transmitting any mass Travel through a medium and transfer energy in momentum What are waves? Waves are disturbances that Period of the two motions? Well the period of a pendulumĭoesn't depend on the mass. Instead of the 1M mass, what would happen to the To oscillate up and down with a period T spring. Hung on a spring of spring constant k and allowed So what's an example problem involving simple harmonic motion look like? Let's say in a lab a mass M on Earth can either be hung on a string of length L and allowed to swing back and forward with a period T pendulum, or The graph of the motion of a simple harmonic oscillatorĪs a function of time, the interval between peaks is How do you find this period on a graph? Well if you're given And it doesn't depend on the mass either. Which also does notĭepend on the amplitude, as long as the angles are small. Period of a pendulum, which is a mass swinging on a string, is gonna be two pie times the square root the length of the string,ĭivided by the magnitude of the acceleration due to gravity. If you stretch that massįarther, it'll go faster and it has farther to go which cancels out and the period remains the same. Note that this does notĭepend on the amplitude. Root, the mass connected to the spring divided by On a spring is gonna be two pie times the square
AP PHYSICS 1 WAVES 9 INTERFERENCE HOW TO
To know is how to find the period of an oscillator. So if you know the behavior of your oscillator at t equals zero.
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You use sine or cosine? Well sine starts at zero and goes up. Is one over the period, you could write as two pie over the period times the time variable t. Is gonna be equal to the amplitude of the motion, which is the maximumĭisplacement from equilibrium, times either sine or cosine of two pie times the frequency of the motion times the variable t. The angle of a pendulum or any other simple harmonic oscillator So the variable that'sĬhanging is a function of time, which could be the vertical What does that function look like? It looks like this. What's a simple harmonic oscillator? A simple harmonic oscillator'sĪny variable who's change can be described by a Has been stretched from its equilibrium position
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What is X gonna represent? It's not gonna be L1 or L2. Of the spring force is equal to the magnitude Spring constant of the spring? So the force of gravity has to be balanced by the spring force. M from the spring at rest and it stretches the So what's an example problem involving Hooke's law look like? Let's say an ideal spring is hanging from the ceiling at rest, and it has an unstretched length L1. Has been stretched from or compressed from theĮquilibrium position or the unstretched position. Just says that the magnitude of the spring force, is gonnaĮqual the spring constant multiplied by the amount the Stretched or compressed from its equilibrium or natural length. Proportional to the amount that spring has been Of force that spring is gonna exert will be Tells you how to find the force exerted by an