The displacement of the air molecules in sound wave is modeled with the wave function s(x, t) = 5.00 nm cos (91.54 m−1 x − 3.14 × 104 s−1 t). (a) What is the wave speed of the sound wave? (b) What is the maximum speed of the air molecules as they oscillate in simple harmonic motion? (c) What is the magnitude of the maximum acceleration of the air molecules as they oscillate in simple harmonic motion?

A spherical wave with a wavelength of 4.1 m is emitted from the origin. At one instant of time, the phase at x1 = 5.1 m is  ?1ϕ1= ?π rad. At that instant, what is the phase (In radians) at x2 = 4 m?

A string oscillates according to the equation y (0.103 cm) sin[(n/3.0 cm-1)x] cos[(27.7 n s)t]. What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 2.04 cm when t = 1.07 s? (a) Number Units *1 (b) Number Units *2 (c) Number Units *3 (d) Number Units

(a) An ethernet cable is 4 m long and has a mass of 0.25 kg. A transverse wave pulse is produced by plucking one end of the taut cable. The pulse makes 5 trips down and back along the cable in 0.5 s. What is the tension in the cable? (b) A simple pendulum consists of a ball of mass 3 kg hanging from a uniform string of mass 0.06 kg and length L. If the period of oscillation of the pendulum is 3 s, determine the speed of a transverse wave in the string when the pendulum hangs vertically. Group of answer choices   2) Light waves are electromagnetic waves that travel at 3.00  108 m/s. The eye is most sensitive to light having a wavelength of 5.84  10-7 m. (a) Find the frequency of this light wave. (b)Find its period.

Physicians use an EEG (electroencephalogram) to study electrical oscillations in the human brain. So-called Beta oscillations, whose enhancement has been linked to alcoholism, have a typical frequency of 15 Hz.  What is the wave's velocity at 1.00 sec if its maximum amplitude is 0.500 cm?     2.25 cm/sec 2.25 cm/sec -2.25 cm/sec -2.25 cm/sec 47.0 cm/sec 47.0 cm/sec -47.0 cm/sec

Male Rana catesbeiana bullfrogs are known for their loud mating call.The call is emitted not by the frog’s mouth but by its eardrums, which lie on the surface of the head. And, surprisingly, the sound has nothing to do with the frog’s inflated throat. If the emitted sound has a frequency of 260 Hz and a sound level of 85 dB (near the eardrum), what is the amplitude of the eardrum’s oscillation? The air density is 1.21 kg/m3.

Some people feel motion sickness with an acceleration of 2% g where g= 9.8 m/s2 is gravity. A boat rides on water wave and has a maximum acceleration of 2% g. The time interval of the wave is 25 second. Find the wave amplitude is cm.

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 60 degrees at midnight and the high and low temperature during the day are 70 and 50 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t. D(t) =

A string is fixed at both ends and vibrating at 130 Hz, which is its third harmonic frequency. The linear density of the string is 4.9x10-3 kg/m, and it is under a tension of 2.4 N. Determine the length of the string.

The speed of sound in a solid medium is given by v = √E/p where E is the value of Young's modulus for the solid and p is the density. A sound wave travels at 5.8 x 10³ m/s in a steel rod of length 1.02 m, diameter 2.0 cm and mass 7.0 kg. Use the data to determine the value of the Young's modulus for steel. Give your answer in giga-pascal (GPa, 10⁹ Nm ²).