Expectant parents are thrilled to hear their unborn baby's heartbeat, revealed by an ultrasonic motion detector. Suppose the fetus's ventricular wall moves in simple harmonic motion with amplitude 2.00 mm and frequency 124 beats per minute. The motion detector in contact with the mother's abdomen produces sound at precisely 2 MHz, which travels through tissue at 1.50 km/s. (a) Find the maximum linear speed of the heart wall.  m/s (b) Find the maximum frequency at which sound arrives at the wall of the baby's heart. (Enter your answer to at least six significant figures.)  Hz (c) Find the maximum frequency at which reflected sound is received by the motion detector. (By electronically "listening" for echoes at a frequency different from the broadcast frequency, the motion detector can produce beeps of audible sound in synchrony with the fetal heartbeat. Enter your answer to at least six significant figures.)  Hz

The air pressure variations in a sound wave cause the eardrum to vibrate. A) Find the maximum velocity of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 Hz. m/s B) Find the maximum acceleration of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 Hz.in m/s^2 C) Find the maximum velocity of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 kHz. in m/s  D) Find the maximum acceleration of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 kHz. m/s^2

How long is this column of air if v = 354 m/s?

5. You are designing an airplane propeller that is to turn at 3500rpm (or revolutions per minute). The forward airspeed of the plane is to be 75.0m/s, and the speed of the tips of the propeller blades through the air must not exceed 300 m/s. (This is about 85% of the speed of the sound in air. If the speed of the propeller tips were greater than this, they would produce a lot of noise.) (a) What is the maximum possible propeller radius? (b) With this radius, what is the acceleration of the propeller tip?

(a) Expectant parents are thrilled to hear their unborn baby's heartbeat, revealed by an ultrasonic motion detector. Suppose the fetus's ventricular wall moves in simple harmonic motion with an amplitude of 1.70mm and a frequency of 130. per minute. Calculate the maximum linear speed of the heart wall. Suppose the motion detector in contact with the mother's abdomen produces sound at 1910000Hz, which travels through tissue at 1.50km/s. (b) Calculate the maximum frequency at which the sound would be perceived at the wall of the baby's heart. (c) Calculate the maximum frequency at which reflected sound is received by the motion detector. (By electronically "listening" for echoes at a frequency different from the broadcast frequency, the motion detector can produce beeps of audible sound in synchronization with the fetal heartbeat.)

The equation of motion of a particle in simple harmonic motion is given by: x(t) = 0.3cos(wt), where x is in meters and t is in seconds. At x = 0, the particle's velocity is v = -1.256 m/s. The period of oscillation, T, equals: 1 sec 0.5 sec O 0.25 seC 1.5 sec O 3 sec The wavefunction of a mechanical wave on a string is described by y(xt) – 0.012cos(TtX-100tt+2rt/3), where x and y are in meters and t is in seconds. The transverse velocity of an element on the string at the left end (x = 0), at time t= 0 is:

A sound wave of wavelength 40 cm travels in air. If the difference between the maximum and minimum pressures at a given point is 1'0 x 10 'N/m, find the amplitude of vibration of the particles of the medium. The bulk modulus of air is 1'4 x 10 N/m.

One end of a horizontal string is attached to a small-amplitude mechanical 75.0 Hz oscillator. The string’s mass per unit length is 5.3 x 10-4 kg/m. the string passes over a pulley, a distance L = 1.75 m away, and weights are hung from this end. Assume the string at the oscillator is a node, which is nearly true, and that the string at the pulley is also a node. a. Sketch the shape of the string for the fundamental (lowest possible frequency) standing- wave mode of vibration of this string. In this case, how many wavelengths fit on the string? b. What mass m must be hung from the right end of the string so that the string tension is what is needed to produce the standing wave that you drew in part (a) at the given 75 Hz oscillation frequency? c. Sketch the shape of the string for the second harmonic (next possible frequency above the fundamental) mode of vibration of this string. In this case, how many wavelengths fit on the string? d. What mass m must be hung from the right end of the…

A simple pendulum is made of a 50 cm-string and a bob of massm. At t 0, the pendulum is at its equilibrium position and is given an initial velocity v -0.2 m/s. The maximum angular speed, 0'max, is: 0.8 rad/s 0.1 rad/s 0.4 rad/s 0.05 rad/s 0.2 rad/s A traveling wave on a taut string with a tension force T is given by the wave function: y(x.t) = 0.1sin(2rx-300t), where x and y are in meters and t is in seconds. The linear mass density of the string is u = 100 g/m, and the string is 10 m-lona. The total eneray on the string is Learn

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 77 degrees occurs at 5 PM and the average temperature for the day is 65 degrees. Find the temperature, to the nearest degree, at 9 AM.