Question

Blood is flowing through an artery of radius 2 mm at a rate of 40 cm/s. Determine the flow rate.

A) 50.27 cm³/s
B) 75.41 cm³/s
C) 100.54 cm³/s
D) 125.68 cm³/s
(b) Determine the volume that passes through the artery in a period of 30 s.

A) 1.508 L
B) 2.262 L
C) 3.015 L
D) 3.769 L

Answer 1

The flow rate of blood through the artery is approximately 5.03 cm³/s. The volume that passes through the artery in a period of 30 seconds is approximately 150.9 cm³.

Step-by-step explanation:

The flow rate of blood can be determined using the equation:

Flow rate = (cross-sectional area) x (velocity)

The cross-sectional area of the artery can be calculated using the formula for the area of a circle:

Area = π x (radius)^2

Plugging in the given values: radius = 2 mm = 0.2 cm, and velocity = 40 cm/s, we can calculate the flow rate:

Flow rate = (π x (0.2 cm)^2) x 40 cm/s = 5.03 cm³/s

So the flow rate is approximately 5.03 cm³/s.

To determine the volume that passes through the artery in a period of 30 seconds, we can multiply the flow rate by the time:

Volume = Flow rate x Time

Plugging in the values: flow rate = 5.03 cm³/s and time = 30 s, we can calculate the volume:

Volume = 5.03 cm³/s x 30 s = 150.9 cm³

So the volume that passes through the artery in a period of 30 seconds is approximately 150.9 cm³.