Calculating New Blood Pressure with Drug-Induced Arteriole Radius Increase

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A person with a blood pressure of 160/100 experiences a 6% increase in arteriolar radius due to medication. The new blood pressure can be calculated using the formula that accounts for the change in area, which is proportional to the square of the radius. The updated pressures are determined by dividing the original pressures by (1.06)^2. This results in a decrease in both systolic and diastolic pressures. The calculations confirm that the blood pressure will drop due to the increased arteriolar radius.
HeatherMrkr
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please help asap!

:bugeye: I am not great at physics and am in an intro class for health sciences...here is my problem.
A person with a blood pressure of 160/100 takes a drug that causes a 6% increase in the radius of the arterioles. Find the new blood pressure assuming no change in heart output or stroke volume.
I tried 160/.06 and 100/.06 don't I have to do something with r^4? If I do that, I still come up with the wrong answers.
thanks!
Heather
 
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Pressure is defined by the force per unit area. The force is the same since no change in heart output has been assumed. The area concerned here is the area of the asterioles and is proportional to r^2. Since the radius increases, the area increases too and hence the pressure drops. The new pressures will be 160/(1.06)^2 and 100/(1.06)^2.

I am not very sure whether I answer your question correctly. Sorry if I did it wrongly.


Kenneth
 
thanks

Thanks for your help Ken!
 
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