07:31Physics - Mechanics: Mechanical Waves (10 of 21) The Wave Equation in 1-DimensionMichel van Biezen522views
Multiple ChoiceWrite the mathematical representation of the wave graphed in the following two figures.699views1rank2comments
Multiple ChoiceA transverse wave is represented by the following function: y=(18cm)sin[2π(x2cm−t5s+14)]y=\left(18\operatorname{cm}\right)\sin\left[2\pi\left(\frac{x}{2\operatorname{cm}}-\frac{t}{5s}+\frac14\right)\right]y=(18cm)sin[2π(2cmx−5st+41)]. What is the phase angle of this wave?550views
Multiple ChoiceThe function for some transverse wave is ? = (0.5 m) sin [(0.8 m−1)x − 2?(50 Hz)t + π/3]. What is the transverse velocity at t=2 s, x=7 cm? What is the maximum transverse speed? The maximum transverse acceleration?656views2rank6comments
Multiple ChoiceThe vertical displacement of a wave moving along the x-axis is given by y(x,t)=(0.045m)cos((3.4Hz)t−(4.5 m−1)x). What is the wave speed and in what direction is it traveling?445views
Multiple ChoiceA transverse harmonic wave moving to the left has a wavelength of 2.5 m and a wave speed of 12 m/s. The amplitude of the wave is 0.1 m. At x = 0 and t = 0, the displacement of the wave is y = 0. Write the wave function for this wave.215views15rank
Textbook QuestionA fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x, t)=2.30mm cos[(16.98 rad/m^)x+(742 rad/s)t]. Being more practical, you measure the rope to have a length of 1.35 m and a mass of 0.00338 kg. You are then asked to determine the following: (d) wave speed; (e) direction the wave is traveling;312views
Textbook QuestionA fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x, t)=2.30mm cos[(16.98 rad/m^)x+(742 rad/s)t]. Being more practical, you measure the rope to have a length of 1.35 m and a mass of 0.00338 kg. You are then asked to determine the following: (a) amplitude; (b) frequency; (c) wavelength; (d) wave speed; (e) direction the wave is traveling; (f) tension in the rope; (g) average power transmitted by the wave.644views
Textbook QuestionA sound wave is described by D (y,t) = (0.0200 mm) ✕ sin [(8.96 rad/m)y + (3140 rad/s)t + π/4 rad], where y is in m and t is in s. b. Along which axis is the air oscillating?363views
Textbook QuestionShow that the displacement D(x,t) = cx² + dt², where c and d are constants, is a solution to the wave equation. Then find an expression in terms of c and d for the wave speed.296views
Textbook QuestionShow that the displacement D(x,t) = ln(ax + bt), where a and b are constants, is a solution to the wave equation. Then find an expression in terms of a and b for the wave speed.230views
Textbook Question(II) A transverse traveling wave on a cord is represented by D = 0.22 sin (5.6x + 34 t) where D and x are in meters and t is in seconds. For this wave determine (b) frequency.95views
Textbook Question(II) A transverse traveling wave on a cord is represented by D = 0.22 sin (5.6x + 34 t) where D and x are in meters and t is in seconds. For this wave determine (d) wave velocity (magnitude and direction),.97views
Textbook Question(II) Consider the point x = 1.00 m on the cord of Example 15–6. Determine (a) the maximum acceleration of this point. 92views
Textbook Question(I) A transverse wave on a wire is given by D (x, t) = 0.015 sin ( 35x - 1200 t) where D and x are in meters and t is in seconds. (a) Write an expression for a wave with the same amplitude, wavelength, and frequency but traveling in the opposite direction.93views
Textbook Question(II) Write the equation for the wave in Problem 29 traveling to the right, if its amplitude is 0.020 cm, and D = - 0.020 cm, at t = 0 and x = 0 .71views
Textbook Question(III) A transverse wave on a cord is given by D( x, t) = 0.12 sin (3.0x - 15.0t) , where D and x are in meters and t is in seconds.(b) At t = 0.20s, what are the displacement, velocity, and acceleration of a point on the cord where x = 0.60m?104views
Textbook Question(II) A transverse wave with a frequency of 220 Hz and a wavelength of 10.0 cm is traveling along a cord. The maximum speed of particles on the cord is 0.10 the wave speed. What is the amplitude of the wave?104views
Textbook Question(II) A transverse wave pulse travels to the right along a string with a speed v = 2.0 m/s. At the shape of the pulse is given by the function D = 0.45 cos (2.6x + 1.2),where D and x are in meters. (b) Determine a formula for the wave pulse at any time t assuming there are no frictional losses. 102views
Textbook QuestionFigure 15–44 shows the wave shape at two instants of time for a sinusoidal wave traveling to the right. What is the mathematical representation of this wave?<IMAGE>115views
Textbook QuestionA horizontal string tied at both ends is vibrating in its fundamental mode. The traveling waves have speed v, frequency f, amplitude A, and wavelength λ. (c) How much time does it take the string to go from its largest upward displacement to its largest downward displacement at the points located at (i) x = λ/2, (ii) x = λ/4, and (iii) x = λ/8, from the left-hand end of the string.511views
Textbook QuestionA horizontal string tied at both ends is vibrating in its fundamental mode. The traveling waves have speed v, frequency f, amplitude A, and wavelength λ. (b) What is the amplitude of the motion at the points located at (i) x = λ/2, (ii) x = λ/4, and (iii) x = λ/8, from the left-hand end of the string?533views
Textbook QuestionA 2.0-m-long string vibrates at its second-harmonic frequency with a maximum amplitude of 2.0 cm. One end of the string is at x=0 cm . Find the oscillation amplitude at x=10 , 20, 30, 40, and 50 cm.393views
Textbook QuestionA horizontal string tied at both ends is vibrating in its fundamental mode. The traveling waves have speed v, frequency f, amplitude A, and wavelength λ. (a) Calculate the maximum transverse velocity and maximum transverse acceleration of points located at (i) x = λ/2, (ii) x = λ/4, and (iii) x = λ/8, from the left-hand end of the string.347views
Textbook QuestionA string that is under 50.0 N of tension has linear density 5.0 g/m. A sinusoidal wave with amplitude 3.0 cm and wavelength 2.0 m travels along the string. What is the maximum speed of a particle on the string?380views
Textbook QuestionFIGURE P16.57 shows a snapshot graph of a wave traveling to the right along a string at 45 m/s. At this instant, what is the velocity of points 1, 2, and 3 on the string? 432views
Textbook QuestionFIGURE EX16.8 is a picture at t = 0 s of the particles in a medium as a longitudinal wave is passing through. The equilibrium spacing between the particles is 1.0 cm. Draw the snapshot graph D(x, t = 0 s) of this wave at t = 0 s.444views
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