Answered: Ex. 31: The equation of a progressive… | bartleby

Related questions

Question

Ex. 31 The equation of a progressive wave is
Y 0.005 sin 2n
100 t-
where all the
3.
quantities are in S.I. units. Calculate the
displacement of a particle located at a distance
of 25 cm from the source, 0.01 sec after the wave
starts.

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Determine the frequency and the wavelength of this traveling wave.
Two identical traveling waves, moving in the same direction, are out of phase by z/3.0 rad. What is the amplitude of the resultant wave in terms of the common amplitude ym of the two combining waves? (Give the answer as the ratio of the total amplitude to the common amplitude.) Number i Units
The displacement of a traveling wave as a function of position and time is given by; y(x,t) = 0.19 sin(22.9x-580t) where are values have proper SI Units. What is the wave speed of this wave?
The equation for the displacement of a stationary wave on a string is given by y = 2 (sin 5πt)(cos 6πx), where x and y are in meters, and t is in seconds. Determine: a. wave period!
The wave propagates at a speed of 12 m/s from A to B with the equation of "difference": y = 0.06 sin 20xt and the initial deviation is upwards (y and t are SI base units). The distance AB is 2.5 m. Exactly when B has 3/4 phase, point A deviates by... а. 3 ст, down b. 3 cm, up С. 3V3 ст, ир d. 3v3 cm, down е. б ст, down
Two identical traveling waves, moving in the same direction, are out of phase by π/5.0 rad. What is the amplitude of the resultant wave in terms of the common amplitude ym of the two combining waves? (Give the answer as the ratio of the total amplitude to the common amplitude.) Number i Units
Problem 1 Let y1 = A sin(kr – wt + a) and y2 = B sin(kx – wt + B) be the equa- tions representing two traveling transverse wave. Here A and B are two possibly different amplitudes, and a and ß are two possibly different phase shifts. The wave vector k and angular frequency w of each wave are the same. a) What are the phasors for each wave, denoted 1 and 2? b) What is the sum of the phasors? c) What is the radius R and phase angle o of the phasor in part b)?
2π.χ. λι -₁), 1. In the geometry of the following figure, the wave in region 1 is given by y₁(x)=C₁sin (5 where ₁ = 4.97 cm, and ₁ = -65.3°. In region 2, the wavelength is ₂ = 10.5 cm. The boundary A is located at x = 0, and the boundary B is located at x = L, where L = 20.0 cm. Find the wave functions in regions 2 and 3. [2] Incident A B Transmitted wave wave и Reflected wave Glass Air (region 1) (region 2) Air (region 3) (a)
Two waves are traveling simultaneously down a long Slinky. They can be represented byφ1 (x, t) = 0.0030 sin(6.0x - 300t) and φ2 ( x, t) = 0.0030 sin(7.0x - 250t). Distances are measured in meters and time in seconds. (a) Write the expression for the resulting wave. (b) What are the phase and group velocities? (c) What is ∆x between two adjacent zeros of φ? (d) What is ∆k ∆x?
Problem 2Given: A wave of 0.3 m wave height and period 1.3 seconds is generated in a wave tank. The wave tank is 90 m. long, 3 m wide, and 3 m deep and filled with fresh water to a depth of 1.5 m. The density of water is 997 kg/m3.Evaluate the water particle velocity and acceleration at the crest of the wave at still water level (SWL).