Concept explainers
An undersea earthquake or a landslide can produce an ocean wave of short duration carrying great energy, called a tsunami. When its wavelength is large compared to the ocean depth d, the speed of a water wave is given approximately by
Trending nowThis is a popular solution!
Chapter 16 Solutions
PHYSICS FOR SCI.AND ENGR W/WEBASSIGN
Additional Science Textbook Solutions
College Physics (10th Edition)
Physical Science
The Physics of Everyday Phenomena
Mathematical Methods in the Physical Sciences
Introduction to Electrodynamics
- Rank the waves represented by the following functions from the largest to the smallest according to (i) their amplitudes, (ii) their wavelengths, (iii) their frequencies, (iv) their periods, and (v) their speeds. If the values of a quantity are equal for two waves, show them as having equal rank. For all functions, x and y are in meters and t is in seconds. (a) y = 4 sin (3x 15t) (b) y = 6 cos (3x + 15t 2) (c) y = 8 sin (2x + 15t) (d) y = 8 cos (4x + 20t) (e) y = 7 sin (6x + 24t)arrow_forwardHow many times a minute does a boat bob up and down on ocean waves that have a wavelength of 40.0 m and a propagation speed of 5.00 m/s?arrow_forwardA harmonic transverse wave function is given by y(x, t) = (0.850 m) sin (15.3x + 10.4t) where all values are in the appropriate SI units. a. What are the propagation speed and direction of the waves travel? b. What are the waves period and wavelength? c. What is the amplitude? d. If the amplitude is doubled, what happens to the speed of the wave?arrow_forward
- A sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.arrow_forwardBy what factor would you have to multiply the tension in a stretched string so as to double the wave speed? Assume the string does not stretch. (a) a factor of 8 (b) a factor of 4 (c) a factor of 2 (d) a factor of 0.5 (e) You could not change the speed by a predictable factor by changing the tension.arrow_forwardA fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 2.10 ss for the boat to travel from its highest point to its lowest, a total distance of 0.680 m . The fisherman sees that the wave crests are spaced a horizontal distance of 5.50 m apart. How fast are the waves traveling? Express the speed v in meters per second using three significant figures. What is the amplitude AAA of each wave? Express your answer in meters using three significant figures.arrow_forward
- A fisherman noticed that his boat was lifted by the water waves once every 2 s. He looked at the waves and estimated the length of the wave to be 6 m. He also estimated the vertical distance between the highest point and lowest point of the wave to be 0.5 m. Find the speed of the water wave.arrow_forwardThe amplitude of a wave disturbance M20 (1 positive x-direction is given by y = Tetromabruts esd (1+x)² by y = 1 ad m travelling in the at time t = 0 and [1 + (x − 1)²] - at t = 2 s, where x and y are in metre. The shape of the wave disturbance does not change during the propagation. The velocity of the wave is...... m/s.arrow_forwardTwo points A and B on the surface of the Earth are at the same longitude and = 70.0° apart in latitude as shown in the figure below. Suppose an earthquake at point A creates a P wave that reaches point B by traveling straight through the body of the Earth at a constant speed of 7.40 km/s. The earthquake also radiates a Rayleigh wave that travels at 3.05 km/s. In addition to P and S waves, Rayleigh waves are a third type of seismic wave that travels along the surface of the Earth rather than through the bulk of the Earth. B Path of P wave Ө Path of Rayleigh wave (a) Which of these two seismic waves arrives at B first? O the Rayleigh wave the longitudinal P wave (b) What is the time difference between the arrivals of these two waves at B? (The radius of the Earth is 6370 km.) 246 X Your response differs from the correct answer by more than 10%. Double check your calculations, sarrow_forward
- In deep water, the speed of surface waves is described by the relationship v = g/w, where w is the angular frequency. If a wave has a period of 3.00 s, what is its wavelength?arrow_forwardWhy is the following situation impossible? Tsunamis are ocean surface waves that have enormous wavelengths (100 to 200 km), and the propagation speed for these waves is υ ≈ √gdavg, where davg is the average depth of the water. An earthquake on the ocean floor in the Gulf of Alaska produces a tsunami that reaches Hilo, Hawaii, 4 450 km away, in a time interval of 5.88 h. (This method was used in 1856 to estimate the average depth of the PacificOcean long before soundings were made to give a direct determination.)arrow_forward(a) If the frequency of oscillation of the wave emitted by an FM radio station is 97.6 MHz, determine the wave's period of vibration. s (b) If the frequency of oscillation of the wave emitted by an FM radio station is 97.6 MHz, determine wavelength. (Radio waves travel at the speed of light, 3.00 ✕ 108 m/s.) marrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University