84. The speed v (L) (in m/sec) of an ocean wave in deep water is approximated by v (L) = 1.2 VL, whereL (in meters) is the wavelength of the wave. (The wavelength is the distance between two consecutivewave crests.)a. Find the average rate of change in speed between waves that are between 1 m and 4 m in length. amb. Find the average rate of change in speed between waves that are between 4 m and 9 m in length. 2 Lmc. Use a graphing utility to graph the function. Using the graph and the results from parts (a) and (b).what does the difference in the rates of change mean?

Given, speed v(L) of ocean wave in deep water is approximated by the function v(L)=1.2L where, L is…

84. The speed v (L) (in m/sec) of an ocean wave in deep water is approximated by v (L) = 1.2 VL, where L (in meters) is the wavelength of the wave. (The wavelength is the distance between two consecutive wave crests.) a. Find the average rate of change in speed between waves that are between 1 m and 4 m in length. b. Find the average rate of change in speed between waves that are between 4 m and 9 m in length. c. Use a graphing utility to graph the function. Using the graph and the results from parts (a) and (b). what does the difference in the rates of change mean?

84. The speed v (L) (in m/sec) of an ocean wave in deep water is approximated by v (L) = 1.2 VL, where L (in meters) is the wavelength of the wave. (The wavelength is the distance between two consecutive wave crests.) a. Find the average rate of change in speed between waves that are between 1 m and 4 m in length. b. Find the average rate of change in speed between waves that are between 4 m and 9 m in length. c. Use a graphing utility to graph the function. Using the graph and the results from parts (a) and (b). what does the difference in the rates of change mean?

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Wave Motion

Section: Chapter Questions

Problem 24P: Earthquakes at fault lines in the Earths crust create seismic waves, which are longitudinal (P...

See similar textbooks

Similar questions

A sound wave propagates in air at 27C with frequency 4.00 kHz. It passes through a region where the temperature gradually changes and then moves through air at 0C. Give numerical answers to the following questions to the extent possible and state your reasoning about what happens to the wave physically. (a) What happens to the speed of the wave? (b) What happens to its frequency? (c) What happens to its wavelength?
A wave is described by y = 0.020 0 sin (kx - t), where k = 2.11 rad/m, = 3.62 rad/s, x and y are in meters, and t is in seconds. Determine (a) (he amplitude, (b) the wavelength, (c) the frequency, and (d) the speed of the wave.
Earthquakes at fault lines in the Earths crust create seismic waves, which are longitudinal (P waves) or transverse (S waves). The P waves have a speed of about 7 km/s. Estimate the average bulk modulus of the Earths crust given that the density of rock is about 2 500 kg/m3.
Calculate the speed of sound on a day when a 1500 Hz frequency has a wavelength of 0.221 m.
1 What frequency of sound traveling in air at 37◦ C has a wavelength of 0.43 m? Calculate to one decimal.
1. Suppose that an earthquake released approximately 1014 joules of energy. What is its magnitude on a Richter scale? How much more energy does this earthquake release than the reference earthquake? 2. Suppose the intensity of sound of a jet during takeoff is 100 watts/m2. What is the corresponding sound intensity in decibels? How much more intense is this sound than the least audible sound a human can hear? 3. A 1-liter solution contains 10-8 moles of hydrogen ions. Determine whether the solution is acidic, neutral, or basic.
1. Describe the difference between a transverse wave and a longitudinal wave? Define and give an example of each.
2. What is the period of a wave that travels through a spring at 2.5 m/s and has a wavelength of 1.3 meters?
The intensity of a sound wave, as it strikes a circular ear drum, is 0.65 W/m2. The amount of energy carried in this wave is 6 × 10-6 J, and the sound lasts for one second. Part (a) Calculate the radius of the ear drum, in meters. Part (b) If the sound wave travels at 326 m/s and has a wavelength of 1.1 m, calculate its frequency.
1. A wave is traveling at a speed of 12 m/s and its wavelength is 3 meters. Calculate the wave frequency.