(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.
By wiggling one end, a sinusoidal wave is made to travel along a stretched string that has a mass per unit length of 22.0 g/m. The wave may be described by the wave function y 0.20 sin (0.90x-42) where x and y are in meters and t s in seconds. 1. (a) Determine the speed of the wave. Is the wave moving in the +x direction or the -x direction? b) What is the tension in the stretched string? (c)...
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 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...
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
A sinusoidal wave in a rope is described by the wave function y 0.20 sin (0.83mx + 220t) where x and y are in meters and t is in seconds. The rope has a linear mass density of 0.205 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
A wave on a string is described by the relation y = A sin(38t-0.024x), where t is measured in seconds and x in meters, with A = 0.16 m Flnd the frequency of the wave 6.048 Hz Find the wavelength of the wave. Flnd the speed of the wave m/s
The power transmitted by a sinusoidal wave on a string is 9.50 W. The string has a total mass of 0.155 g and a length of 1.050 m. The tension in the string is 63.0 N and the amplitude of the wave is 12.0 cm. From this information, determine the frequency of the wave in Hertz. (Assume 3 digits of precision on all given values. Use 9.807 m/s2 for the acceleration due to gravity.)
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...