I need help on B, C, E, F, G Poiseuille's Law can be used to quantify various aspects of blood flow. The flow of blood through capillaries is regulated in part by the constriction of small blood vessels called arterioles. Poiseuille's Law assumes laminar flow of blood, which is valid for small diameter blood vessels. In large arteries blood flow becomes non-laminar. We will examine these limits.

A) Assume an arteriole has a radius of R=0.005cm and a length of L=0.05cm. Assume the pressure drop across the arteriole is P=50.0mmHg. Calculate the flow of blood in cubic meters per second through this arteriole. Assume the viscosity of blood is =0.040P where 10.0Poise(P)=1.00Pas=1.00kgm^1/s and 0.00750mmHg=1.00Pa. Q = dV/dt = 8.18 x 10^-9 m^2/s

B) To what radius is the arteriole reduced if the blood flow is reduced by half? The answer for B is not 0.00284 cm

C) To what radius must the arteriole expand to increase blood flow by 50%?

D) Suppose the arteriole in Part A becomes congested with plaque deposits such that the radius of the arteriole is reduced by 10.0%.Calculate the pressure drop P that must occur to preserve the blood flow Q calculated in Part A. P=1.02104 PaPa

E) The velocity v of blood in a cylindrical vessel can be calculated by dividing Q=dV/dt by the cross sectional area A of the blood vessel, i.e. v=Q/A. Using your values for Q and vessel radius R from Part A, calculate the velocity of blood flow in the arteriole.

F) The Reynold's number (Re) is a figure-of-merit used in fluid dynamics to determine whether liquid flow is laminar or turbulent. If Re>2000 the fluid flow is tubulent. If Re<2000 the fluid flows in a laminar fashion.The Reynold's number is given by Re=vd/ where is the density of the fluid, v is the velocity of the fluid, d is the diameter of the cylindrical tube that the fluid flows through, and is the viscosity of the fluid. Assume the density of blood is =1060kgm^3 and 0.04P G) During vigorous exercise the flow of blood through the aorta is Q=25.0L/min. If the radius of the aorta is r=1.00 cm, calculate the Reynold's number. Use values of and from part F.