period of sin(kx) or cos(kx) is 2π/k.
SO, for a period of 2 seconds, k = π.
V(t) = A cos(πt)+C
residual volume is 1150, so
V(t) = A cos(πt) + 1150
Tidal volume is 3200, so
V(t) = 1600 cos(πt) + 1150
Since cos has max at t=0, we are done.
Having a lot of trouble with this one:
Q) Tidal volume is the volume of air displaced in the lungs between inhalation and exhalation (the amount of air in a breath). The residual volume is given by the remaining in the lungs even after the deepest exhalation (ie the minimum amount of air remaining in the lungs).
Suppose that a person is running and a full breath is completed every 2 seconds. Further suppose that the person’s tidal volume during the run is 3200 mL and that the residual volume is 1150 mL. Express the volume of air in the person’s lungs in the form V (t) = A cos (Bt) + C where V is the volume in millilitres, t is the time in seconds, and the time t = 0 corresponds to the lungs being at their fullest.
2 answers
Oops. Do you see my mistake?
Hint: C is wrong.
Hint: C is wrong.
1 answer