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
what happens to the period of revolution for the planets as they move farther away in position from the sun
Marina CMI [18]
It increases. Mercury takes 88 days to orbit the sun once. The Earth takes a year. Pluto takes 248 years.
3 0
3 years ago
The speed of a nerve impulse in the human body is about 100 m/s. If you accidentally stub you toe in the dark, estimate the time
vodomira [7]

Answer:

0.02 s

Explanation:

Take the (+x) direction to be up.  

The average velocity v during a time interval Δt is the displacement Δx divided by Δt.  

v=Δx/Δt

 =x_f-x_i/t_f-t_i                 (1)

We assume that your height is 1.6m  

Solving [1]

Δt=Δx/v

  = 0.02 s

4 0
3 years ago
Which of the following is not an air pollutant?
Lelu [443]
Answer: 1. Carbon dioxide is not an air pollutant

Explanation: it can be toxic and or safe
7 0
2 years ago
Read 2 more answers
A child on a skateboard experiences a 75 N force with an acceleration of 1.5 m/s2.
cupoosta [38]

Answer:

The mass of the child + skateboard is 50 kg

Explanation:

In this problem, we can apply Newton's second law:

F = ma

where

F is the net force on a system

m is the mass of the system

a is the acceleration of the system

In this problem, our system is the child + the skateboard. The net force on them is

F = 75 N

and their acceleration is

a=1.5 m/s^2

So we can re-arrange the equation above to find their combined mass:

m=\frac{F}{a}=\frac{75}{1.5}=50 kg

3 0
3 years ago
if the distance of separation begin two objects is doubled, is the gravitational force between the objects increased or decrease
SashulF [63]

Answer:

force is decreased by a factor of 4.

Explanation:

According to the Newton's law of gravitation, the force of gravitation between the two object is inversely proportional to the square of distance between them. Now the distance is doubled, so the force between the two objects becomes one forth.

Force is decreased by a factor or 4.

7 0
3 years ago
Other questions:
  • A varying force is given by F=Ae ^-kx, where x is the position;A and I are constants that have units of N and m^-1 , respectivel
    11·1 answer
  • Juan is comparing the brightness of two lightbulbs. Which SI unit should he use?
    12·1 answer
  • What is the difference between simple and compound machines?
    13·1 answer
  • In this formula, g=GM/R^2 , what do G ,m and R stand for?​
    5·1 answer
  • Change the following sentences into Passive Voice: (5M)
    15·1 answer
  • Which of the following is not a multicellular organism?
    13·2 answers
  • On a hot summer day, heat waves can be seen rising from the asphalt. What type of heat transfer do the heat waves demonstrate?
    11·1 answer
  • A swift moving hawk is moving due west with a speed of 30 m/s; 5.0 s later it is moving due north with a speed of 20 m/s.
    11·1 answer
  • ____ is the study of things getting faster as they move.
    5·2 answers
  • What do you think we can learn about Earth's history by looking at the Grand Canyon?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!