When you suddenly stand up after lying down for a while, your body may not compe

Question

When you suddenly stand up after lying down for a while, your body may not compensate quickly enough for the pressure changes and you might feel dizzy for a moment.

(a) If the gauge pressure of the blood at your heart is 11.5 kPa and your body doesn't compensate, what would the pressure be at your head, 44 cm above your heart?
_____ kPa

(b) If the gauge pressure of the blood at your heart is 11.5 kPa and your body doesn't compensate, what would it be at your feet, 1.30 multiplied by 102 cm below your heart? Hint: The density of blood is 1060 kg/m3.
______kPa

Explanation / Answer

Pressure at head P = Po-dgh where d is the denstiy of the blood = 1060 kg/m^3 g is acceleration due to gravity = 9.8 m/s^2 and h is height h = 44 cm = 0.44 m given Po = 11.5 kPa Hence P = 11.5 kPa - (1060)(9.8)(0.44) = 11.5 kPa - 4.57 kPa = 6.93 kPa Pressure at feet is P = Po+dgh Given h = 130 cm = 1.3 m Hence P = 11.5 kPa+(1060)(9.8)(1.3) = 11.5 kPa+13.5044 kPa = 25 kPa

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