Suppose that a woman weighing 130 lb and wearing high- heeled shoes momentarily places all her weight on the heel of one foot. If the area of the heel is 0.50 in.2 , calculate the pres- sure exerted on the underlying surface in
(a) kilopascals,
(b) atmospheres, and
(c) pounds per square inch.

Respuesta :

Explanation:

It is given that,

Weight of a woman, W = 130 lb

The area of the heel, [tex]A=0.5\ in^2[/tex]

The force acting per unit of area is called the pressure exerted on the underlying surface.

(a) Weight in newton, W = 578.26 N

Area of the heel, [tex]A=3.22\times 10^{-4}\ m^2[/tex]

Pressure, [tex]P=\dfrac{F}{A}[/tex]

[tex]P=\dfrac{578.26\ N}{3.22\times 10^{-4}\ m^2}[/tex]

[tex]p=1795838.50\ Pa[/tex]

or

P = 1795 kPa

(b) Since, [tex]1\ Pascals=9.86\times 10^{-6}\ atm[/tex]

[tex]1795838.50\ Pascals=17.72\ atm[/tex]

(c) [tex]P=\dfrac{F}{A}[/tex]

[tex]P=\dfrac{130\ lb}{0.5\ in^2}[/tex]

[tex]p=260\ lb/in^2[/tex]

Hence, this is the required solution.

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