The difference in blood pressure between the head and the foot of a person who is 2.00 m tall and resting on an incline that is at an angle of 30.0 degrees to the horizontal is (density of blood is 1,060 kg/m³)

Question

Quizplus · Accepted Answer

The difference in blood pressure can be calculated using the equation:
ΔP = ρgh
where ΔP is the pressure difference, ρ is the density of blood, g is the acceleration due to gravity, and h is the difference in height between the two points, which in this case is the difference in height between the head and the foot of the person.

First, we need to find the height difference using trigonometry. The height difference is the vertical component of the incline, which is given by:
h = 2.00 m sin(30.0°)
h = 1.00 m

Next, we substitute the values into the equation and solve for ΔP:
ΔP = (1,060 kg/m3)(9.81 m/s2)(1.00 m)
ΔP = 10,414.6 Pa

To convert this pressure to mmHg, we use the conversion factor:
1 mmHg = 133.322 Pa

ΔP = 10,414.6 Pa / 133.322 Pa/mmHg
ΔP = 77.9 mmHg

Therefore, the answer is E) 77.9 mmHg.

The Difference in Blood Pressure Between the Head and the Foot