A seismic wave is described by the equation y(x, t) = (7.00cm)cos[(6.00 arad/cm)r+(20.0rrad/s)t]. The wave travels through a uniform medium along the x-axis. [a] Is this wave moving to the right (+x-direction) or the the left (-x-direction)? [b] How far from the equilibrium position do the particles in the medium move? [c] Calculate the frequency of the wave. [d] Calculate the wavelength of this wave.

A seismic wave is described by the equation y(x, t) = (7.00cm)cos[(6.00 arad/cm)r+(20.0rrad/s)t]. The wave travels through a uniform medium along the x-axis. [a] Is this wave moving to the right (+x-direction) or the the left (-x-direction)? [b] How far from the equilibrium position do the particles in the medium move? [c] Calculate the frequency of the wave. [d] Calculate the wavelength of this wave.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section13.2: Analysis Model: Traveling Wave

Problem 13.3QQ: The amplitude of a wave is doubled, with no other changes made to the wave. As a result of this...

See similar textbooks

Similar questions

A sound wave can be characterized as (a) a transverse wave, (b) a longitudinal wave, (c) a transverse wave or a longitudinal wave, depending on the nature of its source, (d) one that carries no energy, or (e) a wave that does not require a medium to be transmitted from one place to the other.
Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)
The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?
The amplitude of a wave is doubled, with no other changes made to the wave. As a result of this doubling, which of the following statements is correct? (a) The speed of the wave changes. (b) The frequency of the wave changes. (c) The maximum transverse speed of an element of the medium changes. (d) Statements (a) through (c) are all true. (e) None of statements (a) through (c) is true.
A seismograph records the S- and P-waves from an earthquake 20.00 s apart. If they traveled the same path at constant wave speeds of vs=4.00 km/s and vp=7.50 km/s, how far away is the epicenter of the earthquake?
An earthquake 45 km from a city produces P and S waves that travel outward at 5000 and 3000 m/s, respectively. Once city residents feel the shaking of the P wave, how much time do they have before the S wave arrives?
A wave is described by y(x,t) = 0.1 sin(3x – 10t), where x is in meters, y is in centimeters and t is in seconds. At time t = 0, the point at x = 0 has a vertical displacement y = 0.0 cm. When is its displacement equal to 0.1 cm?
In SI units a wave is represented by x = {A} cos (7.56t) . What is the time required (in s) for a single wavelength to pass a fixed point by this wave (or in other words, the period T)?
Which one of the following statements is true? a. A dog whistle isn’t loud enough for humans to hear. b. The speed of a pulse sent up a rope hanging from the ceiling will decrease as the pulse rises. c. A wave hitting a fixed boundary is not inverted upon reflection. d. A seismic P-wave can propagate all the way through the earth. 2. The oscillatory motion of a simple pendulum is represented by… θ(t) = (0.15rad)cos(2.56t) Which one of the following is closest to the length of the pendulum? a. 0.15 m b. 0.25 m c. 1.5 m d. 6.4 m 3. Which one of the following is not an example of resonance? a. 2 tuning forks together produce sound that fluctuates in loudness b. a wine glass is shattered by singing a certain pitch c. a child is pushed on a swing to greater and greater height d. the larger than average tides in the Bay of Fundy
Find (a) the amplitude, (b) the wavelength, (c) the period, and (d) the speed of a wave whose displacement is given by y=1.0 cos( 0.75x + 33 t), where x and y are in cm and t is in seconds. (e) In which direction is the wave propagating?
A tsunami can have a wavelength in water of 100 km and travel at up to speeds of 800 km/hr. So, why are they sometimes called silent killers? Group of answer choices a. the shear size of the wave blocks out any sound b. the frequency of the wave is not in the audible range c. the amplitude of the wave is small and doesn’t carry much energy d. all of the above
It is estimated that the tsunami which struck Japan on March 11, 2011 had a wavelength of 200.0 km, frequency of 0.0625 min, and amplitude of 7.0 m. What was the velocity, in km/min, of the tsunami before it came ashore?