A wave is described by the equation y (x,t) = A sin(kx – wt). Which one of the following is true? 2n O The distance from crest to crest is given by k O The amplitude is zero when kæ = wt O The wave is a stationary wave with a node at kx = wt O The value A gives the speed of the wave. O The wave is travelling in the negative direction
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- A propagating wave is described by the wave function (in SI units) У(х, t) = 3 sin(4•x – 2·t) What can be said about the direction of wave propagation and its speed (assume positive x direction is to the right)? O Wave propagates to the right with the speed of 2 m/s O Wave propagates to the left with the speed of 2 m/s O Wave propagates to the left with the speed of 0.5 m/s O Wave propagates to the right with the speed of 0.5 m/sⒸ Macmillan Learning Consider the waveform expression. y (x, t) = ym sin (909t+ 0.333x + 3.71) The transverse displacement (y) of a wave is given as a function of position (x in meters) and time (t in seconds) by the expression. Determine the wavelength, frequency, period, and phase constant of this waveform. λ = T = meters seconds f = Φο = Hertz radiansThe graph below represents the displacement caused by a mechanical wave traveling along a rope (y axis), versus the distance that the wave has traveled along the rope (x axis). displacement / cm 0.5 8distance / m -0.5 If the wave has a frequency of 300 Hz, determine the speed of the wave. O 1200 cm/s O 300 cm/s O 150 cm/s O 2400 cm/s O 600 cm/s O 1800 cm/s
- Two waves are traveling on the same string. The displacement of the first is given by y₁ = (0.200 m) sin [(400л s¯¹)t — (2л m¯¹)×] and of the second by y2 = (0.300 m) sin (400л s¯¹)t − (2ë m¯¹)x + x and y in meters and t in seconds. What is the phase constant of the resultant wave? i - rad wi , withΠ Two sinusoidal waves have the same wavelength and travel on the same string. If the amplitude of the first wave is 5.30mm, the amplitude of the second wave is 2.9 mm, and the phase constant for the second wave is rad greater than the first, what is the amplitude of the resultant wave? 6The 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! b. the amplitude of the point P which lies at a distance of 75 cm from the end of the reflection! c. the distance between two consecutive stomachs!
- 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, downA wave on a string with linear mass density 5.30 ✕ 10−3 kg/m travels at 190.0 m/s. What is the tension in the string? NA wave with a wavelength of 6.0 cm propagates along a string with speed of 4.0 m/s. What is the speed of a wave with two times shorter wavelength, 3.0 cm , propagating on the same string? O 2.0 m/s O 4.0 m/s O 8.0 m/s O Neither of the above
- D, mm 1 0 00000000 The figure shows two waves traveling in the positive-x direction. The amplitude of the resultant wave is O 1.0 mm. O zero. O 1.8 mm. O 1.4 mm. O 2.0 mm.a° y(z,t) 1 d*y(x,t) Which of the following wave functions satisfies the wave equation? A.) y(x, t) = A cos(kæ + wt) B.) y(x, t) = A sin(kx +wt) C.) y(x, t) = A[cos(kæ) + cos(wt)] For any of the equations above that satisfy the wave equation what are the transverse velocity and acceleration of a particle at point x?A train moves along a straight track at v0=30m/s blowing its horn with frequency f0=600Hz. The stationary listener is positioned at the minimum distance from the train, d=40m, as shown in the drawing. A. what is the frequency heard by the listener as a FUNCTION of the trains POSITION. B. Evaluate this frequency if the angle between v0 and the listener's position is 30•, 45•, and 60•