Some Hawaiian tsunamis For an interval of 45 minutes, the tsunamis near Hawaii caused by the Chilean earthquake of TT 1960 could be modeled by the equation y = 8 sin -t, 6 where y is in feet and t is in minutes. (a) Find the amplitude and period of the waves. (b) If the distance from one crest of the wave to the next was 21 kilometers, what was the velocity of the wave? (Tidal waves can have velocities of more than 700 km/hr in deep sea water.)

An earthquake on the ocean floor in the Gulf of Alaska produces a tsunami (sometimes incorrectly called a "tidal wave") that reaches Hilo, Hawaii, 5,420 km away, in a time interval of 8 h 30 min. Tsunamis have enormous wavelengths (100 to 200 km). From the information given, find the average ocean depth between Alaska and Hawaii. (This method was used in 1856 to estimate the average depth of the Pacific Ocean long before soundings were made to give a direct determination.) Propagation speed of the wave, v≈sqrt(gd); where d is the average ocean depth. Use g=9.8m/s .State your answer to the nearest meter.

When a pendulum swings back and forth through a small arc, its horizontal displacement is given by D= A sin (t square root of 980 divided by L) where D is in cm, L is the length of the pendulum in cm, t is in seconds after passing the lowest point, and A is the maximum width the pendulum swings to the left and right.  If the length of a pendulum is 100cm, find the earliest time for wich the deisplacement is maximized.  How long is a clock pendulum that has a period of 1 sec. (This is the primary idea behind the classic grandfather clock.)

If a wave pulse with an amplitude of 2 cm overlaps with a wave pulse that has an amplitude of -4 cm, what will the resulting amplitude of the new waveform be when they completely overlap?

The energy of a ripple on a pond is proportional to the amplitude squared. If the amplitude of the ripple is 0.1 cm at a distance from the source of 6.00 meters, what was the amplitude at a distance of 2.00 meters from the source?

A student is studying simple harmonic motion of a spring. She conducts an experiment where she measures the amplitude and period of an undamped system to be 24 ± 2 mm and 0.40 ± 0.020 seconds, respectively. Using the equation for displacement as a function of time y(t) = Acos(ωt), what is the uncertainty of her displacement calculation in mm for t = 0.050 ± 0.0010 seconds?

A student taking a quiz finds on a reference sheet the two equations She has forgotten what T represents in each equation. (a) Use dimensional analysis to determine the units required for T in each equation. (b) Explain how you can identify the physical quantity each T represents from the units.

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?

physical science, please simplify  When employing active sonar, a submarine emits a sonar signal that has a frequency of 320 MHz (megahertz). The speed of sound waves in ocean water is 1531 m/s. What is the wavelength of this sound wave in microns?

A novelty clock has a 0.0145 kg-mass object bouncing on a spring that has a force constant of 1.25 N/m. (a) What is the maximum velocity of the object if the object bounces 3 cm above and below its equilibrium position? (b) How many joules of kinetic energy does the object have at its maximum velocity? Help on how to format answers: units PR Sc Co