Name: james
Who is asking: Student
Level: Secondary
Question:
The volume of air flowing in windpipes is given by V=kpR4,
where k is a constant, p is the pressure difference at each end, R is
the radius. The radius will decrease with increased pressure, according
to the formula: Ro - R = cp, where Ro is the windpipe
radius when p=0 & c is a positive constant. R is restricted such that:
with this question i have got to the stage where i know what the max V = kp(4/5Ro)4 but what i need to know is the factor please advise and explain thank you very much
Hi James,
You went further than you needed. You wrote the volume, V, as a function of p and differentiated. Setting the derivative equal to zero gave you