An arteriole has a radius of 25 m and it is 1000 m long. the viscosity of blood is 3 x 10-3 pa s and its density is 1.055 g cm-3. assume the arteriole is a right circular cylinder. a. assuming laminar flow, what is the resistance of this arteriole?

To solve this problem it is necessary to apply the concepts related to the Hagen-Poiseuille equation law, which is a physical equation for the description of nonideal fluid dynamics, that is the pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross-section.  The expression can be extrapolated to the calculation of resistance through an analogy of Ohm's law. Mathematically the equation that describes this phenomenon can be described as,

Where,

R = Resistance

L = Length of pipe

Dynamic viscosity

R = Pipe radius

Our values are given as,

Replacing at the previous equation we have,

Therefore the resistance of this arteriole is

current and voltage can both be different in different parts of a circuit so it matters where you place the ammeter and voltmete

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explanation: