For a person at rest, the velocity v (in liters per second) of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next) is given by $\pi$ $v = 0.85 \sin \left( \frac { \pi t } { 3 } \right)$ ,

Where t is the time (in seconds) .
(Inhalation occurs when v > 0 and exhalation occurs when v < 0.)

Find the number of cycles per minute.

Question

For a person at rest, the velocity v (in liters per second) of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next) is given by $\pi$ $v = 0.85 \sin \left( \frac { \pi t } { 3 } \right)$ ,
 
Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0.)
 
Find the number of cycles per minute.
 
A)14 cycles/min
B)11 cycles/min
C)10 cycles/min
D)15 cycles/min
E)12 cycles/min

Quizplus · Accepted Answer

The period of the function is 6 seconds, so there are 60/6 = 10 cycles per minute.

For a Person at Rest, the Velocity V (In Liters π\piπ

For a Person at Rest, the Velocity V (In Liters $\pi$