A string oscillates according to the equationy' = (0.367 cm) sin[(n/5.0 cm-1)x] cos[(45.2 n s1)t).What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whosesuperposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of aparticle of the string at the position x = 2.20 cm when t = 1.06 s?(a) NumberUnits[ cm(b) Numbet226Units cm/s(c) NumbetUnitscm(d) NumberUnits

Given : y' = (0.367 cm) sin π5.0cm-1x cos 45.2 πt

Answered: A string oscillates according to the…

Similar questions

A wave is represented by the equation y = (5.00 mm)sin [(5.00 mm¯¹) x − (8.00 s¯¹) t] + (2.00 mm) cos [(5.001 and t is in seconds. What is the amplitude of the wave? i mm n¯¹) x − (8.00 s¯¹) t], where y is in millimeters mm
A displacement function y is produced when there are two waves present with displacements y 1 = 6.00 sin (4.00 t - 6.00 x ) and y 2 = 6.00 sin (4.00 t - 6.00 x ). What is the amplitude of the new wave function? (Unitless quantity.)
Transverse waves on a string have a wave speed of 8.00 m / s, an amplitude of 0.070 m and a wavelength of 0.320 m.These waves travel in the +x direction, and at t = 0 the end x = 0 of the chord is at y = 0 and is moving downward. (a) Find the frequency, period and wave number k= 2/λ of these waves. (b) Write the equation for y (x, t) describing these waves. (c) Find the transverse displacement of a point on the chord at x = 0: 360m at time t = 0: 150s. (Show the formulas with explanations and steps please)
The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.1 sin(1.2x − 43t), where x and y are in meters and the time t is in seconds. (a) In what direction is the wave propagating? positive x directionnegative x direction (b) What is the amplitude of the wave? m(c) What is the wavelength of the wave? m(d) What is the frequency of the wave? Hz(e) What is the propagation speed of the wave? m/s
Two waves are described by: yı(x, t) = 0.25 sin[T(15x – 2002)] y2(x, t) = 0.25 sin[T(15x – 200t) + T/3] where yı, y2, and x are in meters and t is in seconds. When these two waves are combined, a traveling wave is produced. What are the (a) amplitude, (b) wave speed, (c) wavelength, and (d) equation y'(x, t) = yı(x, t) + y2(x, t) of that traveling wave (be sure to simplify your final expression using trigonometric identities or an appropriate formula from class or the book)? and -
The linear density of a string is 2.2 x 10 kg/m. A transverse wave on the string is described by the equation y = (0.022 m) sin[(2.3 m1)x + (21 s) What are (a) the wave speed and (b) the tension in the string?
A transverse wave on a cable is described by the function y(x,t) = (2.3 m ) cos [(4.7 m¯¹) x + (12 s¯¹) t − π/2], where distance is measured in meters and time in seconds. If the tension in the cable is 25 N, what is the linear mass density of the cable?