The traditional method of measuring a person's body-fat ratio is to weigh them on dry land and then weigh them while submerged in water. The body-fat ratio can be calculated using the difference in these weight measurements. Unfortunately, this method requires that the person become submerged in water, which is a problem for those suffering from hydrophobia (fear of water). Angel investors give money to companies that they think have highly marketable products or services in exchange for partial ownership of the company. A company has mailed a proposal to investors seeking money to market a new device for measuring a person's body-fat ratio with no need for the person to get wet. In the company's proposal, the person in the figure is standing on a weight scale in a sealed chamber. Initially, the chamber is maintained at standard atmospheric pressure. However, the pressure is then lowered and the new weight is noted. Derive an expression for the density of the person in terms of his weight before (wi) and after (w2) the chamber is evacuated. Use pi and p2 for the density of the air before and after the chamber is evacuated.
The traditional method of measuring a person's body-fat ratio is to weigh them on dry land and then weigh them while submerged in water. The body-fat ratio can be calculated using the difference in these weight measurements. Unfortunately, this method requires that the person become submerged in water, which is a problem for those suffering from hydrophobia (fear of water). Angel investors give money to companies that they think have highly marketable products or services in exchange for partial ownership of the company. A company has mailed a proposal to investors seeking money to market a new device for measuring a person's body-fat ratio with no need for the person to get wet. In the company's proposal, the person in the figure is standing on a weight scale in a sealed chamber. Initially, the chamber is maintained at standard atmospheric pressure. However, the pressure is then lowered and the new weight is noted. Derive an expression for the density of the person in terms of his weight before (wi) and after (w2) the chamber is evacuated. Use pi and p2 for the density of the air before and after the chamber is evacuated.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Consider a typical adult weighing 165.0 lb and possessing a density of 867.0 kg/m³. What is the minimum pressure drop
necessary to measure the person's density if the weight scale can only measure to the nearest 0.20 lb? Assume air is an ideal gas,
and the chamber is maintained at standard temperature as the air is evacuated. The density of air at sea level is roughly
1.22 kg/m³.
minimum drop in pressure:
atm
According to research and marketing, a customer's discomfort becomes a problem once the pressure drops below 0.543 atm.
Based on this result, should investors seriously consider investing in the company?
The tradional method eof measuring a person's body dat natio is to
dem on dry landandthen wigh e wh ubmerd in vew. Th
bot dt ntio can be caloulned ing he demce in these woiede
meauremets Udtun, isthod mas at e en
ubmerged in w, which ia prblen thoe ering frm
ydtobia aof wter
t they thi hae high
No, the product is not likely to be popular and, therefore, is not marketable.
e p pe dy-tat tin ih
la the company's proposal, the penon in the figune is standing on a
ale in a seuled chamber. nitialy. the chamber is maintainod at an
pherie presun. However, dhe prese is then kwend and the
igh ed
Derive an expreion for the density of the penon in termof his wo
Yes, the product is safe and could be marketable.
Ue nd for the density of the air before and uher the chamber

Transcribed Image Text:The traditional method of measuring a person's body-fat ratio is to weigh
them on dry land and then weigh them while submerged in water. The
body-fat ratio can be calculated using the difference in these weight
measurements. Unfortunately, this method requires that the person become
submerged in water, which is a problem for those suffering from
hydrophobia (fear of water).
Angel investors give money to companies that they think have highly
marketable products or services in exchange for partial ownership of the
Owi
company. A company has mailed a proposal to investors seeking money to
market a new device for measuring a person's body-fat ratio with no need for
the person to get wet.
In the company's proposal, the person in the figure is standing on a weight
scale in a sealed chamber. Initially, the chamber is maintained at standard
atmospheric pressure. However, the pressure is then lowered and the new
weight is noted.
Derive an expression for the density of the person in terms of his weight before (wi) and after (w2) the chamber is evacuated.
Use
P1
and
P2
for the density of the air before and after the chamber is evacuated.
Pp
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