Friday 3

# Friday 3 - Friday#3 Wave Propagation Wave propagation on...

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Friday #3 Wave Propagation Wave propagation on ropes and strings depends on the two ingredients of inertia and linear restoring force. For a rope or string we define its inertia in terms of how much mass there is for a given length. We will use the symbol W for this, and it is measured in units of kilograms per meter. The restoring force depends on the tension force – how tightly it is strung. For tension force we will use the symbol F and it is measured in Newtons= 2 /sec Kg m . The wave speed is given by: F v W = The ratio of F/W has the units of 2 2 () sec sec Kg m m m Kg = so its square-root has the units of speed. There is a close similarity between this formula and the formula for the speed of sound in air. The linear restoring force is provided by the air pressure and the inertia is provided by the mass density of the air. The in the ratio, the number density of atoms cancels out so that the main dependence is on the absolute air temperature T and the average mass per atom M .

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Friday 3 - Friday#3 Wave Propagation Wave propagation on...

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