Sheet no (1)/physics 1Q1) A sinusoidal wave traveling in the -x direction (to the left) has an amplitude of20cm ,wave length of 35 cm and frequency of 12 Hz. The transverse position of anelement of the medium at t=0, x-0 is y= -3 cm, and the element has appositivevelocity here. (a) Sketch the wave at t= 0. (b) Find the angular wave number, period,angular frequency, and wave speed of the wave. (c) Write an expression for the wavefunction y(x, t).Q2) The first end of a combined string has a linear mass density of 4.20 x 103 kg/m,whereas the second end has amass density of 10.5 kg/m (a) if a 60 cm wave is to besent along the first string at a speed of 8.56 m/s ,what must the tension in the stringbe? (b) What is the wavelength of the reflected and transmitted wave?Q3) A 60 cm guitar string has a mass of 1.4 g .if it is to play the note (A) at afrequency of 440 Hz, what must the tension be in the string? Assume that the wavelength of the note is twice the length of the string.Q4) it is found that a 6.00-m segment of a long string contains four completewaves and has a mass of 180 g. The string is vibrating sinusoidal with afrequency of 50.0 Hz and a peak-to-valley distance of 15.0 cm. (The "peak-to-valley" distance is the vertical distance from the farthest positive position tothe farthest negative position.) (a) Write the function that describes this wavetraveling in the positive x direction. (b) Determine the power being supplied tothe string.Assist lect. Hanan Hashim Abed

Here we have given that a sinusoidal wave is travelling in the direction of -x i. e. to the left of…

Q1) A sinusoidal wave traveling in the -x direction (to the left) has an amplitude of 20cm ,wave length of 35 cm and frequency of 12 Hz. The transverse position of an element of the medium at t=0, x-0 is y= -3 cm, and the element has appositive velocity here. (a) Sketch the wave at t= 0. (b) Find the angular wave number, period, angular frequency, and wave speed of the wave. (c) Write an expression for the wave function y(x, t).

Q1) A sinusoidal wave traveling in the -x direction (to the left) has an amplitude of 20cm ,wave length of 35 cm and frequency of 12 Hz. The transverse position of an element of the medium at t=0, x-0 is y= -3 cm, and the element has appositive velocity here. (a) Sketch the wave at t= 0. (b) Find the angular wave number, period, angular frequency, and wave speed of the wave. (c) Write an expression for the wave function y(x, t).

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).

Question

Sheet no (1)/physics 1
Q1) A sinusoidal wave traveling in the -x direction (to the left) has an amplitude of
20cm ,wave length of 35 cm and frequency of 12 Hz. The transverse position of an
element of the medium at t=0, x-0 is y= -3 cm, and the element has appositive
velocity here. (a) Sketch the wave at t= 0. (b) Find the angular wave number, period,
angular frequency, and wave speed of the wave. (c) Write an expression for the wave
function y(x, t).
Q2) The first end of a combined string has a linear mass density of 4.20 x 103 kg/m,
whereas the second end has amass density of 10.5 kg/m (a) if a 60 cm wave is to be
sent along the first string at a speed of 8.56 m/s ,what must the tension in the string
be? (b) What is the wavelength of the reflected and transmitted wave?
Q3) A 60 cm guitar string has a mass of 1.4 g .if it is to play the note (A) at a
frequency of 440 Hz, what must the tension be in the string? Assume that the wave
length of the note is twice the length of the string.
Q4) it is found that a 6.00-m segment of a long string contains four complete
waves and has a mass of 180 g. The string is vibrating sinusoidal with a
frequency of 50.0 Hz and a peak-to-valley distance of 15.0 cm. (The "peak-to-
valley" distance is the vertical distance from the farthest positive position to
the farthest negative position.) (a) Write the function that describes this wave
traveling in the positive x direction. (b) Determine the power being supplied to
the string.
Assist lect. Hanan Hashim Abed

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