The Function of a travelling wave on a string with a linear mass density of u = 3.0 kg/m is given by the following wave function: y(x,t) = 0.25 sin(5nx + 167), Here x and y are in meters and time is in seconds. a) What is the wave speed? %3D b) In which direction is the wave travelling? c) How much tension is in the string? d) Find the particle velocity at position x= 1.5 m and at timet = 14 seconds e) Draw a snapshot of the wave for one whole wavelength at t = 14 seconds.
The Function of a travelling wave on a string with a linear mass density of u = 3.0 kg/m is given by the following wave function: y(x,t) = 0.25 sin(5nx + 167), Here x and y are in meters and time is in seconds. a) What is the wave speed? %3D b) In which direction is the wave travelling? c) How much tension is in the string? d) Find the particle velocity at position x= 1.5 m and at timet = 14 seconds e) Draw a snapshot of the wave for one whole wavelength at t = 14 seconds.
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Transcribed Image Text:The Function of a travelling wave on a string with a linear mass density of u = 3.0 kg/m is given by the
following wave function:
y(x,t)
a) What is the wave speed?
0.25 sin(57TX + 16n), Here x and y are in meters and time is in seconds.
b) In which direction is the wave travelling?
c) How much tension is in the string?
d) Find the particle velocity at position x= 1.5 m and at time t = 14 seconds
e) Draw a snapshot of the wave for one whole wavelength at t = 14 seconds.
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