A major artery with a cross-sectional area of 1.00 cm2 branches into 18 smaller arteries, each with an average cross-sectional area of 0.400 cm2. By what factor is the average velocity of the blood reduced when it passes into these branches?

Step 1 of 3</p>

We need to find out the factor by which the average velocity of blood, reduced when it passes into smaller arteries from a major artery.

The major artery connected into 18 smaller arteries and blood is passing to the smaller arteries from the major arteries. The flow rate is constant at any point.

Step 2 of 3</p>

Let is the flow rate at the major artery and is the flow rate at the smaller artery.

So the continuity equation is,

Implies

...............(1)

Where is the average velocity at the major artery and is the average velocity at the smaller artery.

The area of the major artery

The area of the smaller artery

Let is the number of major arteries

Let is the number of smaller arteries