Question

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.

Answer 1

To determine the flow rate of blood and the volume that passes through the artery, we can use the formula: flow rate = cross-sectional area x velocity. After calculating the flow rate, we can determine the volume by multiplying the flow rate by the time.

Step-by-step explanation:

The flow rate of blood can be determined using the formula: Flow rate = Cross-sectional area x Velocity

Given that the radius of the artery is 2 mm (or 0.2 cm) and the velocity is 40 cm/s, we can calculate the flow rate:

Flow rate = π x (radius)^2 x velocity = π x (0.2 cm)^2 x 40 cm/s

Once the flow rate is calculated, we can determine the volume that passes through the artery in a period of 30 seconds by multiplying the flow rate by the time:

Volume = Flow rate x Time = Flow rate x 30 s

Answer 2

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

Step-by-step 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.