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A sinusoidal wave on a string travels to the right. The wave has the following characteristics: wavelength = 2.05 m, amplitude = 0.100 m, and speed = 1.25 m/s. Assume that at  t = 0,  the left end of the string is at the origin and its transverse velocity is negative. (a) Find the frequency (in Hz) for this wave. (b) Find the angular frequency (in rad/s) for this wave. (c) Find the angular wave number (in rad/m) for this wave.

A sinusoidal wave on a string travels to the right. The wave has the following characteristics: wavelength = 2.05 m, amplitude = 0.100 m, and speed = 1.25 m/s. Assume that at

t = 0,

the left end of the string is at the origin and its transverse velocity is negative.

(a)
Find the frequency (in Hz) for this wave.
(b)
Find the angular frequency (in rad/s) for this wave.
(c)
Find the angular wave number (in rad/m) for this wave.

(d)
Find the wave function for this wave in SI units. (Use the following as necessary: x and t. Assume x and y are in meters and t is in seconds. Do not include units in your answer.)

(e)
Determine the equation of motion in SI units for the left end of the string. (Use the following as necessary: t. Assume y is in meters and t is in seconds. Do not include units in your answer.)

(e)
Determine the equation of motion in SI units for the left end of the string. (Use the following as necessary: t. Assume y is in meters and t is in seconds. Do not include units in your answer.)

(g)
What is the maximum speed (in m/s) of any element of the string?
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