The total cross-sectional area of all capillary of a certain person’s circulatory system is 0.25 m2. If the blood flows through the system at the rate of 100 cm3/sec, the velocity of the blood in the capillaries is
0.4 mm/s. use Q= AV.
0.04mm/s
0.025 mm/s
250m/s
400 mm/s.
100 cm^3/s = 0.25 m^2 * (100cm/m)^2 * v cm/s
v = 100/(100^2 *.25) = 1/25 = 0.04 cm/s = 0.4 mm/s
To find the velocity of the blood in the capillaries, we can use the equation Q = AV, where Q is the flow rate, A is the cross-sectional area, and V is the velocity.
Given:
Total cross-sectional area of all capillaries = 0.25 m^2
Flow rate (Q) = 100 cm^3/sec
First, we need to convert the flow rate to m^3/sec:
100 cm^3/sec = 100/1000000 m^3/sec = 0.0001 m^3/sec
Now, we can rearrange the equation Q = AV to solve for V:
V = Q / A
Substituting the given values:
V = 0.0001 m^3/sec / 0.25 m^2
V = 0.0004 m/sec
Finally, we need to convert the answer to mm/sec:
0.0004 m/sec = 0.0004 * 1000 mm/sec = 0.4 mm/sec
Therefore, the velocity of the blood in the capillaries is 0.4 mm/sec.
To find the velocity of the blood in the capillaries, we can use the formula Q = A * V, where Q is the flow rate, A is the cross-sectional area, and V is the velocity.
Given:
Total cross-sectional area, A = 0.25 m^2
Flow rate, Q = 100 cm^3/sec
First, let's convert the flow rate from cm^3/sec to m^3/sec:
1 cm^3 = 1x10^-6 m^3
Therefore, the flow rate in m^3/sec is:
Q = 100 cm^3/sec * (1x10^-6 m^3/cm^3) = 1x10^-4 m^3/sec
Now, rearranging the formula Q = A * V and solving for V:
V = Q / A
V = (1x10^-4 m^3/sec) / (0.25 m^2)
V = 4x10^-4 m/sec
Converting the velocity to mm/sec:
1 m = 1000 mm
Therefore, the velocity in mm/sec is:
V = 4x10^-4 m/sec * 1000 mm/m = 0.4 mm/sec
So, the velocity of the blood in the capillaries is 0.4 mm/sec.