1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
babunello [35]
3 years ago
15

In a normal respiratory cycle the volume of air that moves into and out of the lungs is about 508 mL. The reserve and residual v

olumes of air that remain in the lungs occupy about 2020 mL and a single respiratory cycle for an average human takes about 4 seconds. Find a model for the total volume of air V(t) in the lungs as a function of time.
Physics
2 answers:
Amanda [17]3 years ago
8 0

Answer:

V(t)=2020+508sin((pi/2)t))

Explanation:

breathing can be seen as an oscillatory function, so it would be perfect to use a sine or cosine function.

for this reason this is an equation of the form

V(t)=C+Asin(Wt)

as we know that there is always a fixed amount of air in the lungs (2020ml) which indicates that it is a constant amount.

on the other hand, the amount of air that moves in the lungs varies between 0l and 508ml for this reason this will be the amplitude

W=2pi/T

the period (T) is defined as the amount of time it takes for a function to repeat itself, in our case it is 4

W=2pi/4=pi/2

considering all of the above

V(t)=2020+508sin((pi/2)t))

Lynna [10]3 years ago
6 0

Answer:

v(t) = 2274 + 254 sin(\frac{\pi}{2}t)

Explanation:

V_{min} = 2020 ml

V_{max} = 2020 + 508 =2528 mL

Assuming the given function is cyclic function

v_{avg} = \frac{v_{max} - v_{min}}{2} = \frac{2528 + 2020}{2} = 2274 ml

Amplitude = A = \frac{V_{max} - V_{min}}{2}= \frac{2528 - 2020}{2}= 254

time period is 4 sec

we know that \omega  =  \frac{2\pi}{t} = \frac{2\pi}{4} = \frac{pi}{2} rad/s

so function is

V(t) = V_{avg} + Asin (\omega t})

v(t) = 2274 + 254 sin(\frac{\pi}{2}t)

You might be interested in
Which of the following best illustrates Lewin's interactionist perspective?
expeople1 [14]

Answer:

The options are

a. Sally is a very creative kind of person who likes to build things.

b. Jerry only works because he receives a very large income.

c. Rikki is usually shy, but at work she appears to be quite outgoing.

d. Maury gives money to charities because he wants other people to think he is very generous.

The answer is c. Rikki is usually shy, but at work she appears to be quite outgoing.

Lewin's interactionist perspective explains that an individual’s behavior is usually dependent on his personal behavior/ trait and the environment. The best option is that Rikki is usually shy which is her personal behavior but at work she appears to be quite outgoing due to her environment.

8 0
3 years ago
Do you think a baseball curves better at the top of a high mountain or down on a flat plain
Serhud [2]

A baseball will curve better on the flat plain if it is higher than sea level but low elevation.  

Hope this helped!

4 0
2 years ago
Elaborate on the classification of aluminum. A) Aluminum is a noble gas and has a full valence electron shell, is chemically non
scZoUnD [109]
The correct option is (B) <span>Aluminum is a metal and is shiny, malleable, ductile, conducts heat and electricity, forms basic oxides, and forms cations in aqueous solution.

Since Aluminium is in group 13, and all the elements in group 13 are either metals or metalloids(Boron). Hence we are left with option (B) and (D). Boron is the only metalloid in group 13 and aluminium is a metal(not a metalloid); therefore, we are left with only one option which is Option (B). And Aluminium is </span>shiny, malleable, ductile, conducts heat and electricity, forms basic oxides, and forms cations in aqueous solution.<span>
</span><span>
</span>
4 0
3 years ago
Read 2 more answers
If 2 grams of element X combine with 4 grams of element Y to form compound XY, how many grams of element Y would combine with 46
Butoxors [25]
92 grams of Y would combine with 46 grams of X
3 0
3 years ago
One beam of electrons moves at right angles to a magnetic field. the force on these electrons is 4.9 x 10-14 newtons. a second b
diamong [38]
Below are the choices that can be found elsewhere:

A. (4.9 × 10-14 newtons) · tan(30°) 
<span>B. (4.9 × 10-14 newtons) · sin(30°) </span>
<span>C. (4.9 × 10-14 newtons) · cos(30°) </span>
<span>D. (4.9 × 10-14 newtons) · arctan(30°) </span>
<span>E. (4.9 × 10-14 newtons) · arccos(30°)
</span>
<span>Force is proportional to the angle made by the velocity with respect to the magnetic field. It is maximum when velocity is perpendicular to the magnetic field and minimum when the velocity is parallel to the magnetic field. It is proportional to sin of the angle. In this problem it will be proportional to sin(30)</span>
7 0
3 years ago
Other questions:
  • The graph below show how natural processes and human activities affect climate
    14·2 answers
  • WILL MARK BRAINLIEST!!!!!!!!
    9·1 answer
  • Which pair below describes isotopes of the same element? A) an atom with 6 protons and 8 neutrons - an atom with 8 protons and 6
    14·2 answers
  • What type of matter is absorbent
    11·1 answer
  • How does the configuration of the electric field occur between a "parallel plate" setup in a lab?What is the effect of conductor
    6·1 answer
  • Earthquakes create___<br> waves<br> electromagnetic<br> transverse<br> dangerous<br> seismic
    12·1 answer
  • Describe the effect of the mass on the net force.
    13·2 answers
  • How long would it take to go from 3m/s to 7m/s when riding a bike if the acceleration was 1.5 m/s/s
    10·1 answer
  • I WILL MARK BRAINLST
    7·1 answer
  • A car initially traveling at 15.0 m/s accelerates at a constant rate of 4.50 m/s2 over a distance of 45.0 m. How long does it ta
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!