1.2 Waves

# 1.2 Waves - Waves 1.2 Transverse waves on a string speed...

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1 Waves 1.2 •Transverse waves on a string – speed – power • Intensity • Wave equation Speed of the transverse wave on a string. F F V -> x m m x µ= mass density F v = µ speed of transverse wave on a string depends on the tension on the string and the mass density u Force in the y direction depends on θ net force Derive the wave speed from the mass element at the peak of the pulse. b) In coordinate system moving with the pulse. The string is moving. a) Pulse moving along the string c) Apply Newton’s law to the mass at the top of the pulse. For small angles θ net 2 x F 2F sin 2F 2F R v ma 2 x R θ = x x F v = µ F F L m = µ F v = µ dimensional check 22 2 Nk g m / sm == kg/m kg/m s = m s Increasing tension increases speed Increasing mass/length decreases speed. A 3.1 kg mass hangs from a 2.7 m long string whose total mass is 0.62 g. What is the speed of the transverse wave on the string?

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1.2 Waves - Waves 1.2 Transverse waves on a string speed...

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