Answer:
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.
