Blood is flowing through an artery of radius 2 mm at a rate of 40 cm/s. determine the flow rate and the volume that passes through the artery in a period of 30 s.

The flow rate (Q) is 5.024cm³/s, and the volume (V) is 150 cm³.

Explanation:

To find out the flow rate, we have to use the formula Q= V x A where Q is the flow rate, V is the velocity, and A is the area.

To find out the volume, we have to use this formula V= Q x t where V is the volume, Q is the flow rate, and t is time.

The first thing that we have to do is convert 2mm to cm

2mm x 0.1= 0.2 cm

now we use the Q= V x A formula, but we have to remember that the area of an artery is circular, so we replace the A with the formula π x r².

Q= 40 cm/s x 3,14x (0.2cm)²

Q= 40cm/s x 0.1256cm²/s

Q= 5.024cm³/s

The flow rate is 5.024 cm³/s

Now with the flow rate (Q) we can determine the volume, for this we use the formula V= Q x t

V= 5.024 cm³/s x 30s

V= 150cm³

The volume that passes throug the artery in a period of 30s is 150cm³.

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