Suppose you weigh 853 N, and when you stand on one foot, your weight is spread o

Question

Suppose you weigh 853 N, and when you stand on one foot, your weight is spread out over an area of 1.800×10-2 m2. What pressure does your foot exert on the floor? (Check out the book or online for the correct unit. Remember that there is also a blue help button if the units are inconsistent.)

Atmospheric pressure is around 1.010×105 Pa. Think about the air pushing on a flat, circular glass window which has a radius of 0.0990 m. What is the force with which the air is pushing on one side of the glass?

Explanation / Answer

Pressure is equal to force per area

P = F /A

Substitute given values

P = 853 N / 1.800×10-2 m2

= 4.74 x 104 Pa

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Expression for force:

F = P A

Here, area of circular glass window, A = ( r )2

Substiute given values

F = ( 1.010×105 Pa ) ( 0.099 )2

   = 3.11 x 103 N

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