Convert 4,597.7 lb/in^2 to N/m^2: 805,502.76N/m^2

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The discussion centers on converting pressure from pounds per square inch (lb/in^2) to Newtons per square meter (N/m^2). The initial calculation suggests that a pressure of 4,597.7 lb/in^2 equates to approximately 805,502.76 N/m^2. Participants emphasize the importance of correctly converting units, particularly from square inches to square meters, and clarify that the conversion from pounds to Newtons should maintain the pressure unit. There is some confusion regarding the application of equations and units, indicating a need for careful attention to dimensional analysis. Overall, accurate unit conversion is crucial for correct pressure calculations.
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Homework Statement


1lb = 4.45 N 1in = 2.54cm

Allegedly, a woman standing on a heel creates more pressure than an elephant standing on one foot. By my calculations, this may be as large as 4,597.7 lb/in^2, for a reasonably-sized woman. Convert this to Newtons per square-meter (N/m^2).



Homework Equations



Not sure?

The Attempt at a Solution


4597.7lb/in^2/xN=1lb/4.45N = 20459.77N
20459.77N/0.0254m = 805,502.76N/m^2
 
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If there are 0.254 meters in 1 inch, then how many square meters are there in a square inch?


And just to keep your work nice, note that on your conversion from lbs to N, you get

20459.77 N/in2, not just 20459.77 N.
 
Your equations are a bit muddled; I don't think the "=" is quite appropriate everywhere you're using it. But it looks as though in your first line of solution you're converting just the pounds of force to Newtons. If so, get rid of the square inches. If not, your final units on the first line should be N/in^2.

Check your conversion of square inches to square meters.
 
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