A transverse sinusoidal wave on a wire is moving in the -x-direction. Its speed is 30.0 m/s, and its period is 16.0 ms. At t = 0, a colored mark on the wire at x = 0 has a vertical position of 2.00 cm and is moving down with a speed of 1.40 m/s. (a) What is the amplitude of the wave (in m)? 0.040 Write the standard form of the wave function for a wave travelling in the -x direction, then take the partial derivative with respect to time to find the velocity. Use your given values to write y and vransverse and apply the identity

University Physics Volume 1
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Chapter16: Waves
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Problem 6CQ: A sinusoidal, transverse wave is produced on a stretched spring, having a period T. Each section of...
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A transverse sinusoidal wave on a wire is moving in the -x-direction. Its speed is 30.0 m/s, and its period is 16.0 ms. At t = 0, a
colored mark on the wire at x = 0 has a vertical position of 2.00 cm and is moving down with a speed of 1.40 m/s.
(a) What is the amplitude of the wave (in m)?
0.040
Write the standard form of the wave function for a wave travelling in the -x direction, then take the partial derivative with
respect to time to find the velocity. Use your given values to write y and vransverser and apply the identity
sin (@) + cos?(@) = 1 to find A. You will also need to calculate o from the given values. Don't forget to convert units as
needed. m
Transcribed Image Text:A transverse sinusoidal wave on a wire is moving in the -x-direction. Its speed is 30.0 m/s, and its period is 16.0 ms. At t = 0, a colored mark on the wire at x = 0 has a vertical position of 2.00 cm and is moving down with a speed of 1.40 m/s. (a) What is the amplitude of the wave (in m)? 0.040 Write the standard form of the wave function for a wave travelling in the -x direction, then take the partial derivative with respect to time to find the velocity. Use your given values to write y and vransverser and apply the identity sin (@) + cos?(@) = 1 to find A. You will also need to calculate o from the given values. Don't forget to convert units as needed. m
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