A standing wave is created on a slinky using a frequency of 1.86 Hz. If the speed of the wave down the slinky is 1.42 m/s, how far apart will the nodes on the slinky be?

The depth to an unusual layer of rock is to be determined at a particular place by bouncing an artificially generated seismic wave off it and receiving the echo at the surface. When this is done, the depth is given by the equation, h = (1/2) v t, in which h is the depth, v is the average velocity of the seismic wave, and t is the time that it takes for the wave to go down to the rock layer and return to the surface. If t = 0.350 +/- 0.10, and v = 2,000 +/- 10. meters per second, what is the possible error in the depth. (Show your work, and remember to express your results in the correct number of significant figures.)

A transverse wave travels across a string having a linear mass density 0.065 kg/m. The wavelength of the wave is measured to be 0.71 m and the frequency is 52.5 Hz. What is the tension in the string?

Two sinusoidal waves in a string are defined by the wave functions Yn = 2.00 sin(20.0r – 32.01) Y = 2.00 sin(25.0r – 40.0t) where r, y1 and y2 are in centimeters, t is in seconds and the angles are measured in radians. (a) What is the phase difference between these two waves at the point r = 5.00 cm at t = 2.00 s. Give your final answer in degrees between 0° and 360°. (b) What is the positive a value closest to the origin for which the two phases differ by +r at t = 2.00 s resulting in a zero displacement? Show all your workings and explain your reasoning.