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Question 3 A wave is described by the function: y = 20 sin (120nt - 3.1...
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
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...
SELF TESTI 1. A wave is described by the equation y = 4 sin(31-6x) (SI units)....
SELF TESTI 1. A wave is described by the equation y = 4 sin(31-6x) (SI units). a) Is the wave traveling in the +x or -x direction? b) Determine the amplitude, angular frequency, wavenumber, frequency, period, and wavelength (don't forget units). 2. A wave moves along a string in the +x direction with a speed of 8.0 m/s, a frequency of 4.0 Hz, and amplitude of 0.050 m. a) Determine the wavelength. b) Determine the wavenumber. c) Determine the period....
(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 wave is described by y 0.020 2 sin(kx wt), where k 2.18 rad/m, w 3.60...
A wave is described by y 0.020 2 sin(kx wt), where k 2.18 rad/m, w 3.60 rad/s, x and y are in meters, and t is in seconds. (a) Determine the amplitude of the wave. m (b) Determine the wavelength of the wave (c) Determine the frequency of the wave. Hz (d) Determine the speed of the wave. m/s
What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (67 m-')x +...
What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (67 m-')x + (41 rad/s)t – 7/8) 1. Is this wave transverse or longitudinal? 2. Which direction is the wave moving? 3. Amplitude 4. Angular wave number 5. Wavelength 6. Angular frequency 7. Phase angle 8. Linear frequency 9. Period 10. Velocity of wave 11. Maximum vibration speed
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...
A wave is modeled by the wave function 2Tt y(x, t) (0.30 m) sin 4.50 7m(x+18.00t...
A wave is modeled by the wave function 2Tt y(x, t) (0.30 m) sin 4.50 7m(x+18.00t (A) Determine the wave's (a) amplitude; (b) wavelength; (c) propagation speed (d) frequency (e) direction of propagation (B) An element of the string is located at x 2.25 m (a) Show that the motion of this element is a simple harmonic motion with a transverse displacement of the form y(t) Acos ( t + ф). (b) Determine the phase constant φ (c) Give its...
A sinusoidal wave in a rope is described by the wave function y = 0.20 sin...
A sinusoidal wave in a rope is described by the wave
function
y = 0.20 sin
(0.72πx +
15πt)
where x and y are in meters and t is
in seconds. The rope has a linear mass density of 0.295 kg/m. The
tension in the rope is provided by an arrangement like the one
illustrated in the figure below. What is the mass of the suspended
object?
kg
m
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...
SELF TESTI 1. A wave is described by the equation y = 4 sin(31-6x) (SI units). a) Is the wave traveling in the +x or -x direction? b) Determine the amplitude, angular frequency, wavenumber, frequency, period, and wavelength (don't forget units). 2. A wave moves along a string in the +x direction with a speed of 8.0 m/s, a frequency of 4.0 Hz, and amplitude of 0.050 m. a) Determine the wavelength. b) Determine the wavenumber. c) Determine the period....
(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.
A wave is described by y 0.020 2 sin(kx wt), where k 2.18 rad/m, w 3.60 rad/s, x and y are in meters, and t is in seconds. (a) Determine the amplitude of the wave. m (b) Determine the wavelength of the wave (c) Determine the frequency of the wave. Hz (d) Determine the speed of the wave. m/s
What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (67 m-')x + (41 rad/s)t – 7/8) 1. Is this wave transverse or longitudinal? 2. Which direction is the wave moving? 3. Amplitude 4. Angular wave number 5. Wavelength 6. Angular frequency 7. Phase angle 8. Linear frequency 9. Period 10. Velocity of wave 11. Maximum vibration speed
A wave is modeled by the wave function 2Tt y(x, t) (0.30 m) sin 4.50 7m(x+18.00t (A) Determine the wave's (a) amplitude; (b) wavelength; (c) propagation speed (d) frequency (e) direction of propagation (B) An element of the string is located at x 2.25 m (a) Show that the motion of this element is a simple harmonic motion with a transverse displacement of the form y(t) Acos ( t + ф). (b) Determine the phase constant φ (c) Give its...
A sinusoidal wave in a rope is described by the wave
function
y = 0.20 sin
(0.72πx +
15πt)
where x and y are in meters and t is
in seconds. The rope has a linear mass density of 0.295 kg/m. The
tension in the rope is provided by an arrangement like the one
illustrated in the figure below. What is the mass of the suspended
object?
kg
m
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