the pressure p(in lbs/in^2) that a 160 pound persons shoe exerts on the ground when walking varies inversely with the area A(in in^2) of the sole of the shoe when the shoes have a sole area of 40 in^2 The pressure is 4 lbs/in^2 find equation that relates these variables
The first thing we must do for this case is to define variables. We have then: P: pressure A: Area of the sole of the shoe Since the variation is inverse, we have an equation of the form: [tex]P = k / A
[/tex] We must find the value of k. For this, we use the following data: when the shoes have a sole area of 40 in ^ 2 The pressure is 4 lbs / in ^ 2 Substituting values we have: [tex]4 = k / 40
[/tex] From here, let's clear k: [tex]k = 4 * 40
k = 160[/tex] Then, the equation is: [tex]P = 160 / A[/tex] Answer: The equation that relates these variables is: [tex]P = 160 / A[/tex]
