A sinusoidal wave is described by (5.0cm) cos[(1.6m^-1)x - (11.9 s^-1) + 0.785]. What is the...
A sinusoidal sound wave is described by the displacement s(x, t) = (1.82 µm) cos[(15.0 m-1)x - (878 s-1)t] (b) Determine the instantaneous displacement of the molecules at the position x = 0.0503 m at t = 3.03 ms. (answer in µm) (c) Determine the maximum speed of a molecule's oscillatory motion. (answer in mm/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...
1. A sinusoidal sound wave moves through a medium and W is described by the displacement wave function s(x, t) = 2.00 cos (15.7x - 858t) where sis in micrometers, x is in meters, and tis in sec- onds. Find (a) the amplitude, (b) the wavelength, and (c) the speed of this wave. (d) Determine the instanta- neous displacement from equilibrium of the elements of the medium at the position x = 0.050 0 m at 1 = 3.00 ms....
1. A sinusoidal sound wave moves through a medium and W is described by the displacement wave function s(x, t) = 2.00 cos (15.7x – 8581) where sis in micrometers, x is in meters, and tis in sec- onds. Find (a) the amplitude, (b) the wavelength, and (c) the speed of this wave. (d) Determine the instanta- neous displacement from equilibrium of the elements of the medium at the position x = 0.050 0 m at 1 = 3.00 ms....
A wave on a string can be described by ?(?, ?) = (5.0 ??) cos (??/3 + 2??/3), where x is in m and t in s. i. Draw the snapshot graph of the wave at t = 0 s. ii. Draw the history graph at x = 0. iii. In what direction is the wave travelling? iv. What is the speed, frequency, and wavelength of the wave? v. At t = 1.5 s, what is the displacement of the...
how to solve it ? 37. A sinusoidal sound wave is described by the displacement S(x,t) (2.00x 108) cos (1.25 x - 1850 ), where x is in meters and t is seconds. What is the pressure amplitude of this wave if it is traveling in a material with a bulk modulus of 2.10x 109 N/m2, (Ans: 52.5 Pa)
A wave on a string is described by y(x,t)=( 2.0 cm )×cos[2π(x/( 3.6 m )+t/( 0.20 s ))] , where x is in m and t is in s. A)In what direction is this wave traveling? Negative B)What is the wave speed? 18 m/s C)What is the wave frequency? Hz D)What is the wave length? m E)At t = 0.50 s , what is the displacement of the string at x = 0.30 m ? cm
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
A sinusoidal wave is traveling on a string with speed 28.0 cm/s. The displacement of the particles of the string at x = 8.3 cm is found to vary with time according to the equation y = (1.3 cm) sin[1.6 - (5.4 s-1)t]. The linear density of the string is 6.4 g/cm. What are (a) the frequency and (b) the wavelength of the wave? If the wave equation is of the form y(x,t) = ym sin(kx - ωt), what are...
A wave on a string is described by the following equation (assume the +x direction is to the right). y = (12 cm) cos[πx/(4.0 cm) + π t/(19 s)] (a) What is the amplitude of this wave? (b) What is its wavelength? (c) What is its period? (d) What is its speed? cm/s (e) In which direction does the wave travel?