2. A harmonic wave travelling to the right is described by D (x, t) = (2.5...
A harmonic wave travelling to the right is described by D (x, t) = (2.5 mm) sin 3.0 m− 1 x − 9.0 s−1 t, where x is measured in metres, and t is measured in seconds. The wave encounters a free-end point of reflection. The reflection and the original wave are superimposed to form a standing wave pattern. (a) What are the amplitude, speed, wavelength, and frequency of the resulting standing wave? (b) Write the equation of the resulting...
(4.1) [W.3) A harmonic travelling wave has wave function tx8 sin 153 The units of time and position, t and a, are seconds and metres, respectively, while the wave disturbance is measured in nanograms per cubic micrometre (a) Ascertain the ) amplitude, (ii) wavenumber. (ii) angular frequency (b) Determine () the speed with which propagates and (ü) whether it and (iv) phase of moves to the right or to the left.
Consider a transverse harmonic wave travelling along a string. Enter true (T) or false (F) for the following statements. For example, if the first statement is true and the rest false, enter TFF. You have 4 tries. Increasing the frequency of the wave increases its wavelength. Increasing the amplitude of the wave increases its wavelength. If a wave with a frequency of 10 Hz travels along a string with a mass per unit length of 40 g/m stretched to a...
Question: A standing wave is established in a string and can be described by the equation: y(2, t) = 4.18 sin(14.4x) cos(980t) cm. Where z is in m and t is in s. Part 1) What is the position of the first anti-node? m Part 2) What is the maximum speed of a piece of string at x = 0.309 m? Umax = m/s Part 3) This standing wave is formed from an input wave travelling to the right interfering...
The wave function for a standing wave on a string is described by y(x, t) = 0.016 sin(4πx) cos (57πt), where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions. (a) x = 0.10 m ymax = m vmax = m/s (b) x = 0.25 m ymax = m vmax = m/s (c) x = 0.30 m ymax = m vmax = m/s (d) x = 0.50...
(d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency of 11.5 Hz and a wavelength of 1.30 m. At t = 0 the displacement at the antinodes is given by y = Y= 0.125 m. What is the displacement at A/8 when t = 30.0 ms? the point x (d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency...
A wave on a string is described by the relation y = A sin(38t-0.024x), where t is measured in seconds and x in meters, with A = 0.16 m Flnd the frequency of the wave 6.048 Hz Find the wavelength of the wave. Flnd the speed of the wave m/s
A rope is fixed at both ends and under a tension of 100 N (where N is the symbol for newton, transverse displacement of the rope, in metres, is given by y = (0.5) sin ( x) cos | 4 1 + 100) t where x is distance along the rope in metres, x = 0 at one end of the rope, t is time in seconds, and N 17 (a) What are (i) the length of the rope, (ii...
The equation of a particular wave travelling along a wire is given as y=(0.47m)sin[(150s−1)t+(53m−1)x]y=(0.47m)sin[(150s−1)t+(53m−1)x] Based on this equation, find the amplitude, wavelength, frequency, and velocity of the wave. Be sure to include the correct sign for the velocity. Amplitude = m Wavelength = m Frequency = Hz Velocity = m/s What is the displacement of the wire at x=0.29x=0.29 m and t=0.26t=0.26 s? Displacement = m I got the first three right but can't figure out how to get the...
A particle executes harmonic motion described by x= 2.5 sin (3.5πT). Where x is in meters and t is in seconds. A) at t=3s what is the acceleration B)What is the period T