8. A wave in a string has a wave function given by: y (x, t) =...
8. A wave in a string has a wave function given by:
y (x, t) = (0.0200m) sin [(6.35 m^-1) x + (2.63 s^-1) t]
where t is expressed in seconds and x in meters. Determine: (10
points)
a) the amplitude of the wave
b) the frequency of the wave
c) wavelength of the wave
d) the speed of the wave
Homework Answers
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) = 0.016 sin(4πx) cos (57πt), 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 = m vmax = m/s (c) x = 0.30 m ymax = m vmax = m/s (d) x = 0.50...
The equation of a transverse wave traveling along a very long string is given by y...
The equation of a transverse wave traveling along a very long string is given by y = 6.1 sin(0.018πx + 3.1πt), where x and y are expressed in centimeters and t is in seconds. Determine the following values. (a) the amplitude cm (b) the wavelength cm (c) the frequency Hz (d) the speed cm/s (e) the direction of propagation of the wave +x−x +y−y (f) the maximum transverse speed of a particle in the string cm/s (g) the transverse displacement at...
A transverse wave on a string is described by the following wave function. Y = 0.095...
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...
A wave is described by y = 0.020 8 sin(kx - wt), where k = 2.22 rad/m, w = 3.66 rad/s, x and y are in meters, and t is in seconds
6. A wave is described by y = 0.020 8 sin(kx - wt), where k = 2.22 rad/m, w = 3.66 rad/s, x and y are in meters, and t is in seconds. (a) Determine the amplitude of the wave. (b) Determine the wavelength of the wave. (c) Determine the frequency of the wave. (d) Determine the speed of the wave. 7. When a particular wire is vibrating with a frequency of 3.00 Hz, a transverse wave of wavelength 64.0 cm is produced. Determine the...
(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.
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.
A sinusoidal wave is described by the wave function, y = (0.20 m) sin(0.16x − 54t)...
A sinusoidal wave is described by the wave function, y = (0.20 m) sin(0.16x − 54t) where x and y are in meters and t is in seconds. Determine the following for this wave. (a) the amplitude ______________ m (b) the angular frequency _______________ rad/s (c) the angular wave number _____________ rad/m (d) the wavelength _________ m (e) the wave speed ________ m/s
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) = 0.023 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) =...
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 =...
11.9 A sinusoidal wave is described by the wave function, y# (0.27 m) sin(0.22x-34t) where x...
11.9
A sinusoidal wave is described by the wave function, y# (0.27 m) sin(0.22x-34t) where x and y are in meters and t is in seconds. Determine the following for this wave (a) the amplitude (b) the angular frequency rad/s (c) the angular wave number rad/m (d) the wavelength 25.56 What is the relationship between the wave number and the wavelength? m e) the wave speed The speed can be calculated from a number of quantities that involve the length...
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...
(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.
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.
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 =...
11.9
A sinusoidal wave is described by the wave function, y# (0.27 m) sin(0.22x-34t) where x and y are in meters and t is in seconds. Determine the following for this wave (a) the amplitude (b) the angular frequency rad/s (c) the angular wave number rad/m (d) the wavelength 25.56 What is the relationship between the wave number and the wavelength? m e) the wave speed The speed can be calculated from a number of quantities that involve the length...
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