A continuous succession of sinusoidal wave pulses are produced at one end of a very long string and travel along the length of the string. The wave has frequency 70.0 Hz, amplitude 5.00 mm, and wavelength 0.600 m. (a) How long does it take the wave to travel a distance of 8.00 m along the length of the string? (b) How long does it take a point on the string to travel a distance of 8.00 m, once the wave train has reached the point and set it into motion? (c) In parts (a) and (b), how does the time change if the amplitude is doubled?
A continuous succession of sinusoidal wave pulses are produced at one end of a very long string and travel along the length of the string. The wave has frequency 70.0 Hz, amplitude 5.00 mm, and wavelength 0.600 m. (a) How long does it take the wave to travel a distance of 8.00 m along the length of the string? (b) How long does it take a point on the string to travel a distance of 8.00 m, once the wave train has reached the point and set it into motion? (c) In parts (a) and (b), how does the time change if the amplitude is doubled?
A continuous succession of sinusoidal wave pulses are produced at one end of a very long string and travel along the length of the string. The wave has frequency 70.0 Hz, amplitude 5.00 mm, and wavelength 0.600 m. (a) How long does it take the wave to travel a distance of 8.00 m along the length of the string? (b) How long does it take a point on the string to travel a distance of 8.00 m, once the wave train has reached the point and set it into motion? (c) In parts (a) and (b), how does the time change if the amplitude is doubled?
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…
Write a wave function describing the wave.
The waves on a string have wave speed 8.00m/s, amplitude 0.0600m, and wavelength 0.400m. The waves travel in the -x direction and at t = 0s, the end of the string has its maximum upward displacement. (a) Write a wave function describing the wave and(b). Find the transverse displacement of a particle at x = 0.350m at time t = 0.150s
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