WebWe have coughing scenario where the velocity of air stream is a function of the radius of the trachea and we are going to analyze this so pretty cool. The first thing we. Download the App! Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite. Sent to: Send invite. Login; WebX rays show that the radius of the circular tracheal tube contracts to about two-thirds of its normal radius during a cough. According to a mathematical model of coughing, the velocity v of the airstream is related to the radius r of the trachea by the equation $$ v(r)=k(r0-r)r^2, 1/2r0≤r≤r0 $$ where k is a constant and r0 is the normal radius of the trachea.
Trachea Radiology Reference Article Radiopaedia.org
WebThe trachea can be imaged by a variety of techniques, including plain radiography, computed tomography (CT) and magnetic resonance imaging. Important tracheal … WebIn this question were given that v. is the velocity of the air through the track here when one is coughing. And also that the R. Is a constant is the normal radius of the track. You and this small are here is the radius of the trachea during coughing and case also a constant. Now we want to find the radius R. Which can produce the maximum air velocity. canon pool and spa taft road syracuse ny
When a foreign object lodged in the trachea (windpipe) forces a …
WebX rays show that the radius of the circular tracheal tube contracts to about two-thirds of its normal radius during a cough. According to a mathematical model of coughing, the … WebVIDEO ANSWER: In this problem were given a function which shows velocity of while copping, we know that k is a constant capital, or is this constant? We are interested in derivative of this function with respect to WebCoughing forces the trachea (windpipe) to contract, which affects the velocity of the air passing through the trachea. The velocity of the air during coughing is v = k(R - r)r², 0 ≤ r … flagstone patio home depot