By what factor must your blood pressure increase to compensate for a 4 % narrowing in...

By what factor must your blood pressure increase to compensate for a 4 % narrowing in your blood vessels? (The pressure difference across your blood vessels is essentially equal to your blood pressure.) I am learning the bernoullis equation and also the poiseuille law. But can't figure out how to do this with only knowing a percent. I need each step please.

Expert Solution

Poiseuille law states that

Q = P r⁴ / 8 nL

where P is pressure difference, r is radius of vessel, L is length of vessel , Q is flow rate, n is viscosity.

4 % narrowing in your blood vessels means radius has decreased by r_after = r - 0.04r = 0.96r_before

P = 8 nLQ / r⁴

keeping all other things constant

P = 1/r⁴

P_before / P_after = r⁴_after / r⁴_before

P_before / P_after = 0.96⁴

P_before / P_after = 0.849

P_after = P_before / 0.849

P_after = 1.177 * P_before

so, pressure difference must increase by factor of 1.177

genius_generous answered 46 minutes ago

What would happen to water absorption if the osmotic pressure if the blood were to increase...

What would happen to water absorption if the osmotic pressure if the blood were to increase above normal? explain.

How does a blood pressure cuff get your blood pressure reading?

4. By what factor does tripling the radius of a circle increase (a) the circumference of...

4. By what factor does tripling the radius of a circle increase (a) the circumference of the circle? (b) the area of the circle? 5. What are some of the advantages of scientific notation? 6. After which numeral is the decimal point usually placed in scientific notation? What determines the number of numerical digits written in scientific notation?

By what factor does the pressure of the gas increase if the gas is compressed to half its original volume?

A cylinder with a movable piston contains 3 moles of hydrogen at standard temperature and pressure. The walls of the cylinder are made of a heat insulator, and the piston is insulated by having a pile of sand on it. By what factor does the pressure of the gas increase if the gas is compressed to half its original volume?

The blood pressure of the 1000 males in the study described in #4 had their blood...

The blood pressure of the 1000 males in the study described in #4 had their blood pressures recorded. The systolic blood pressures of the males have an approximately normal distribution with a mean LaTeX: \mu=125\:millimetersμ = 125 m i l l i m e t e r s and standard deviation LaTeX: \sigma=13\:millimetersσ = 13 m i l l i m e t e r s. A: Estimate the number of men in the study whose blood pressure was between...

As PCO2 of the blood decreases, what happens to the urine H+ concentration as kidneys compensate...

As PCO2 of the blood decreases, what happens to the urine H+ concentration as kidneys compensate for this change? (increase, decrease, or no change Explain what the kidneys are doing that makes the H+ concentration change in this manner, and how this change acts as a compensation to the decreasing PCO2. As PCO2 of the blood decreases, what happens to the urine HCO3- concentration? Explain what the kidneys are doing that makes the HCO3- concentration change in this manner, and...

Explain how the nervous and urinary systems interact to increase blood pressure.

Detail how blood pressure is taken and provide normal blood pressure values. In your narrative, answer...

Detail how blood pressure is taken and provide normal blood pressure values. In your narrative, answer the following: -What role do the sounds of Korotkoff play in determining blood pressure values? -How does position impact blood pressure readings? -How can exercise alter blood pressure values both immediately and long term?

what is high blood pressure? who is affected? what can we do about high blood pressure?...

what is high blood pressure? who is affected? what can we do about high blood pressure? what can be done to have a healthy life and can it be cured? change from high blood pressure to diabetes

In an effort to link cold environment to an increase in mean blood pressure, two random...

In an effort to link cold environment to an increase in mean blood pressure, two random samples of 5 rats each were exposed to different environments. One sample of rats was held in a normal environment of 26◦C and the other was held aat 15◦C. Blood pressures were measured for rats of both groups after 1 day and are given below: (a) If the scientists want to assume that the necessary populations are normal, what test[s] would be reasonable to...

Question