The vertical displacement of an ocean wave is described by the function, y = A sin(ωt - kx). k is called the wave number (k = 2π/λ) and has a value of k = 19.5 rad/m. The remaining values are A = 8.5 m and ω = 10.5 rad/s. Using y = A sin(B), input an expression for B where the wave would be traveling in the -x-direction.  What is the wave's velocity in m/s?  What is the wave's amplitude in m?

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 transverse wave is traveling on a string. The displacement y of a particle from its equilibrium position is given by y = (0.021 m) sin(25t - 2.0x). Note that the phase angle 25t - 2.0x is in radians, t is in seconds, and x is in meters. The linear density of the string is 1.4 × 10-2 kg/m. What is the tension in the string? F= i

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 -

A progressive wave travelling in the x-direction is represented by the following equation: y = Asin(Bt - Cx). Given that parameters A, B and Care given in Sl units calculate the velocity of the wave for A = 50, B = 2694 and C = 21.

A transverse wave traveling on a taut wire has an amplitude of 0.200 mm and a frequency of 580 Hz. It travels with a speed of 196 m/s. a) If the wave equation is written in the form y = A sin(kx - ωt), what are the parameters A, k, and ω? A = m b) The mass per unit length of this wire is 4.70 g/m. Find the tension in the wire (in newton).

The string shown in the figure is driven at a frequency of 5.00 Hz. The amplitude of the motion is A = 14.0 cm, and the wave speed is v= 18.0 m/s. Furthermore, the wave is such that y = 0 at x = 0 and t = 0. (a) Determine the angular frequency for this wave (in rad/s). 31.4 rad/s (b) Determine the wave number for this wave (in rad/m). 3.6 This is the wave length not the wave number. rad/m (c) Write an expression for the wave function. (Use the following as necessary: t, x. Let x be in meters and t be in seconds. Do not include units in your answer. Assume SI units.) y = sin (d) Calculate the maximum transverse speed (in m/s). m/s

A transverse wave in a string has the form y= 5.5 cos pi (0.08 x +9.0t), where x is in centimeters and t is in seconds. Find: The angular frequency in rad/s ( please give your answer with one decimal place)