Final answer:
To calculate the blood flow rate through the aorta, we can use the equation Q = A × v, where Q is the flow rate, A is the cross-sectional area of the aorta, and v is the speed of blood through the aorta.
Step-by-step explanation:
To calculate the blood flow rate through the aorta, we can use the equation Q = A × v, where Q is the flow rate, A is the cross-sectional area of the aorta, and v is the speed of blood through the aorta. First, let's calculate the cross-sectional area of the aorta (A). The radius (r) of the aorta is given as 10 mm, which is equal to 0.01 m. The formula to calculate the area of a circle is A = π × r^2.
Substituting the values, we have A = π × (0.01 m)^2. Next, using the formula Q = A × v and the given flow rate (Q = 5.0 L/min), we can solve for v. Since the flow rate is given in liters per minute, we need to convert it to cubic meters per second. 1 liter is equal to 0.001 cubic meters and 1 minute is equal to 60 seconds. Substituting the values, we have Q = (5.0 L/min) × (0.001 m^3/L) / (60 s/min). Now it is possible to solve for v. To calculate the blood flow rate through the aorta, we use the formula Q = A × v. Substituting the calculated values of A and v into the formula, we can find the flow rate.