In a normal adult, the average speed of the blood through the aorta (radius r = 0.8 cm) is `0.33 ms^(-1)` . From the aorta, the blood goes into major arteries, which are 30 in number, each of radius 0.4 cm. Calculate the speed of the blood through the arteries.

Explanation

`a_1v_1 = 30 a_2v_2 implies pi r_1^2 v_1 = 30 pi r_2^2 v_2`
`v_2 = 1/30((r_1)/(r_2))^(2) v_1 implies v_2 = 1/30 xx ((0.8 xx 10^(-2)m)/(0.4 xx 10^(-2) m))^(2) xx (0.33 ms^(-1))`
`v_2 = 0.044 ms^(-1)`.