Blood is pumped from the heart at a rate of 5.0 L/min into the aorta (of radius 1.0 cm). Determine the speed of blood through the aorta in units of m/s

The speed of blood through the aorta is 0.265 m/s

Explanation:

Given;

volumetric flow rate, Q = 5.0L/min = 0.005 m³/min x 1min/60s = 8.333 x 10⁻⁵ m³/s

radius of the aorta, r = 1.0 cm = 0.01 m

Area of the aorta = πr²

Area of the aorta = π(0.01)² = 3.142 x 10⁻⁴ m²

Volumetric flow rate is given by;

Q = Av

where;

v is the speed of blood through the aorta

v = Q /A

v = (8.333 x 10⁻⁵ ) / (3.142 x 10⁻⁴)

v = 0.265 m/s

Therefore, the speed of blood through the aorta is 0.265 m/s

the minimum amperage that the current in this wire would have to have so that its weight is completely supported by the magnetic force due to earth's field, assuming that no other forces except gravity act on it