The arterial blood pressure in the carotid artery is normally lower than that in

Question

The arterial blood pressure in the carotid artery is normally lower than that in blood ( = density = 1035 kg/m3 ) vessels at the level of the heart. Assume that the arterial blood pressure at the level of the heart is 100 mmHg and that the carotid artery is 15 cm above the heart. Assume that the subject is exposed to atmospheric pressure.

a) Determine the downward acceleration at which the arterial blood pressure in the carotid artery would equal that at the level of the heart. State any additional assumptions.

Explanation / Answer

the pressure at the heart is 100mHg

as the pressure is lower at the carotid artery ,

so the pressure can be given as ,

P = 100mmHg - rho * g * h

= 13332.23 Pa- 1035* 9.81 * 0.15

= 11809 Pa

now, pressure = F/area= mass * acceleraion /area

=rho* volume * acceleration / area

= rho * height * acceleration

so , acceleration = 11809 Pa / (rho* height)

=11809/(1035* 0.15)

= 76.06 m/s2

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