The production of sound during speech or singing is a complicated process. let's concentrate on the mouth. a typical depth for the human mouth is about 8.00 cm, although this number can vary. (check it against your own mouth.) we can model the mouth as an organ pipe that is open at the back of the throat. a) what are the wavelengths of the first four harmonics you can produce if your mouth is open? (in cm/4 answers) b)what are the frequencies of the first four harmonics you can produce if your mouth is open? use 354 (in hz/4 answers) c)what are the wavelengths of the first four harmonics you can produce if your mouth is closed? (in cm/4 answers) d)what are the frequencies of the first four harmonics you can produce if your mouth is closed?

A) The wavelengths are:8cm for first harmonic

      5.3cm for second harmonic

      4cm for third harmonic

      3.2cm for fourth harmonic

B) The frequencies are:

44.25Hz for first harmonic

66.38Hz for second harmonic

88.5Hz for third harmonic

110.63Hz for fourth harmonic

C) The wavelengths are:

10.66Cm for first harmonic

6.4 cm for second harmonic

4.57cm for third harmonic

3.5cm for fourth harmonic

D) The frequencies are:

33.19Hz for first harmonic

55.31 Hz for second harmonic

77.44Hz for third harmonic

99.56Hz for fourth harmonic

Explanation: since the mouth is being modelled as an organ pipe, then we can say that an open mouth is a model of an organ pipe open at both ends.

For an open pipe all harmonics are possible but only odd harmonic's are possible in closed pipes. A closed mouth is a model of a closed pipe, since closed pipes are open at one end.

their crystal patterns have been disrupted by stress

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.