~Resources~ Simple Harmonic Motion Kaska Mariah Ember Simple harmonic motion is a motion that repeats at a constant tempo, (Italian for "time", Tempo is the speed of a given piece.) Take a pendulum. As it swings back and forth it is always a constant rate. Depending on the string length the tempo may become different. For example if the string is short, it has a faster tempo but if the string is longer the tempo is longer.     Simple harmonic motion was discovered by Galileo when he was attending mass. He noticed a lamp swinging back and forth with no help. He also noticed that the lamp didn't slow down as it swung back and forth. It kept the same tempo even as the amplitude or height of the swings decreased over time. He was on the verge of making a great discovery. He timed this motion with his own pulse. The discovery he made was important for many reasons.     Keeping accurate time was not possible before Galileo's discovery, but this discovery is how clocks came to be. A good example of how clocks use simple harmonic motion is the grandfather clock. The grandfather clock is a very tall clock woth a pendulum attached to the gears of the clock. With every swing the clock advances forward one second. If a weight is not placed on the pedulum the grandfather clock's swings will get smaller and smaller. This will eventually cause it to stop.     Harmonic motion can also be described with a spring with a weight at the end. When the spring moves up and down, at a constant tempo, simple harmonic motion is taking place. The tempo of the spring depends on the strength and thickness of the spring. The formula that is used to express the force of the spring is F=-kx.     There is harmonic motion located everywhere in the world. It is waves from the ocean sound waves, light waves, molecules in crystals and electronics. It is everywhere. Harmonic motion makes up some of the most fascinating things in this world. Look around you can you tell of anything that moves in harmonic motion? "You cannot teach a man anything; you can only help him find it within himself." -- Galileo Find the Hidden Links below to go to cool extras!!!!!!! (3)

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This shows simple harmonic motion because the ball going in s circle is going the same tempo as the ball moving up and down and the ball moving side to side.