Question

Determine the linear velocity of blood in the aorta with a radis of 1.5 cm, if the duration of systole is 0.25 s, the stroke volume is 60 ml.

Answer 1

To determine the linear velocity of blood in the aorta, we can use the formula: Linear velocity = Flow rate / Cross-sectional area

Step-by-step explanation:

Linear velocity is the speed at which an object moves in a straight line. To determine the linear velocity of blood in the aorta, we can use the formula:

Linear velocity = Flow rate / Cross-sectional area

Given that the flow rate is 5.0 L/min and the radius of the aorta is 1.0 cm, we can calculate the cross-sectional area using the formula:

Area = π × radius^2

Once we have the cross-sectional area, we can substitute it into the formula for linear velocity to find the answer.

Answer 2

The linear velocity of blood in the aorta can be calculated using the equation:

v = Q / A

where v is the linear velocity, Q is the volume flow rate, and A is the cross-sectional area of the vessel.

The volume flow rate Q can be calculated using the equation:

Q = SV / t

where SV is the stroke volume and t is the duration of systole.

The cross-sectional area of the aorta can be calculated using the equation:

A = πr^2

where r is the radius of the aorta.

Given that the radius of the aorta is 1.5 cm, the stroke volume is 60 ml, and the duration of systole is 0.25 s, we can calculate the volume flow rate Q:

Q = SV / t = 60 ml / 0.25 s = 240 ml/s

Converting the units of Q to cm^3/s:

Q = 240 ml/s × 1 cm^3/1 ml = 240 cm^3/s

We can then calculate the cross-sectional area of the aorta:

A = πr^2 = π × (1.5 cm)^2 = 7.07 cm^2

Finally, we can calculate the linear velocity of blood in the aorta:

v = Q / A = 240 cm^3/s / 7.07 cm^2 = 33.9 cm/s

Therefore, the linear velocity of blood in the aorta is 33.9 cm/s.