Using the appropriate equations, predict the effects in each scenario.
A. Vessels X and Y have the same diameter. X is 5 cm long and Y is 10 cm long. Which has the faster velocity of flow for the same fluid?
B. A blood vessel has a radius of 4 cm. Vasoconstriction reduces the radius to 1 cm. In order to maintain the same flow, by what factor must pressure increase?
C. The blood vessel in B above dilates from 1 cm to 4 cm. Does the flow rate increase or decrease?
D. A new subdivision is built between your house and the water storage tower. If the water company makes
no adjustments, will the water pressure at your house change? If so, in which direction? Why?
A. Assuming the same driving pressure, the velocity is the same.
Length is not a factor (v = Q/A).
B. 256.
Q ?P/R, so ?P R. As R 1/r4, ?P 1/r4.
As Q does not change, ?P1 × r14 = ?P2 × r24.r14 = 44 = 256.
C. increase
D. Your water pressure would decline, owing its diversion to the new subdivision houses.
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