Biomedical: Poiseuille’s Law Blood flowing through an artery flows faster in the center...

Biomedical: Poiseuille’s Law Blood flowing through an artery flows faster in the center of the artery and more slowly near the sides (because of friction). The speed of the blood is V = c(R² - r²) millimeters (mm) per second, where R is the radius of the artery, r is the distance of the blood from the center of the artery, and c is a constant.

Suppose that arteriosclerosis is narrowing the artery at the rate of Dr/dt = 20.01 mm per year. Find the rate at which blood flow is being reduced in an artery whose radius is R = 0.05 mm with c = 500. [Hint: Find dV/dt, considering r to be a constant. The units of dV/dt will be mm per second per year.]