A transverse wave on a string is described by the wave function y(x, t) = 0.334...
A transverse wave on a string is described by the wave function
y(x, t) = 0.334 sin(1.60x + 86.0t)
where x and y are in meters and t is in seconds. Consider the element of the string at x = 0.
(a) What is the time interval between the first two instants when this element has a position of y = 0.175 m?
(b) What distance does the wave travel during the time interval
found in part (a)?
Homework Answers
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A transverse wave on a string is described by the wave
function
y(x, t) = 0.334...
1. A transverse wave on a string is described by y( x,t) = (0.1m)sin(0.4x + 5t)...
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The wave function for a standing wave on a string is described by y(x, t) =...
The wave function for a standing wave on a string is described by y(x, t) = 0.021 sin(4x) cos (56át), where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions. (a) x = 0.10 m Ymax = m Vmax = m/s (b) x = 0.25 m Ymax = Vmax = m m/s (c) x = 0.30 m Ymax = Vmax =...
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The transverse displacement (y) of a wave is given as a function of position (x in...
The transverse displacement (y) of a wave is given as a function
of position (x in meters) and time (t in seconds) by the expression
to the right. Determine the wavelength, frequency, period, and
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y(x,t)=
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(35. A sinusoidal wave on a string is described by the wave M function y =...
(35. A sinusoidal wave on a string is described by the wave M function y = 0.15 sin (0.80x – 501) where x and y are in meters and t is in seconds. The mass per unit length of this string is 12.0 g/m. Deter- mine (a) the speed of the wave, (b) the wavelength, (c) the frequency, and (d) the power transmitted by the wave.
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A transverse wave on a string is modeled with the wave function y(x, t) (0.80 m)sin[(0.85...
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A transverse wave on a string is described by the following wave function. Y = 0.095 sin (1x + 5nt) where x and y are in meters and t is in seconds. (a) Determine the transverse speed at t = 0.300 s for an element of the string located at x = 1.30 m m/s (b) Determine the transverse acceleration at t = 0.300 s for an element of the string located at x + 1.30 m. m/s2 (c) What...
The wave function for a standing wave on a string is described by y(x, t) = 0.023 sin(4x) cos (591), where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions. (a) x = 0.10 m Ymax = Vmax = m/s m (b) x = 0.25 m Vmax = Vmax = m m/s (c) x = 0.30 m Ymax = m Vmax...
The wave function for a standing wave on a string is described by y(x, t) = 0.021 sin(4x) cos (56át), where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions. (a) x = 0.10 m Ymax = m Vmax = m/s (b) x = 0.25 m Ymax = Vmax = m m/s (c) x = 0.30 m Ymax = Vmax =...
The transverse displacement (y) of a wave is given as a function
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to the right. Determine the wavelength, frequency, period, and
phase constant of this waveform.
y(x,t)=
sin(0.333x + 3.38 + 801t)
(35. A sinusoidal wave on a string is described by the wave M function y = 0.15 sin (0.80x – 501) where x and y are in meters and t is in seconds. The mass per unit length of this string is 12.0 g/m. Deter- mine (a) the speed of the wave, (b) the wavelength, (c) the frequency, and (d) the power transmitted by the wave.
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A transverse wave on a string is modeled with the wave function y(x, t) (0.80 m)sin[(0.85 m)x (1.70 s)t 0.20]. (Indicate the direction with the signs of your answers.) (a) Find the wave velocity (in m/s). m/s (b) Find the position (in cm) in the y-direction, the velocity (in cm/s) perpendicular to the motior of the wave, and the acceleration (in cm/s2) perpendicular to the motion of the wave of a small segment of the string centered at x 0.40...
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