The total area of tires in contact with the ground is [tex]17.36 cm^2[/tex] when mass of bicycle rider is 62 kg and pressure of tires is [tex]3.5*10^5 pascal[/tex]
Pressure is the amount of force exerted on surface per unit area. It can also be defined as the force-to-area ratio (over which the force is acting).
Given,
Mass of the bicycle rider = 62.0 kg
pressure in tires = [tex]3.50*10^5\ N/m^2[/tex] (1 pascal = 1 [tex]N/m^2[/tex])
From definition of pressure,
[tex]P=\frac{F}{A}.....i[/tex]
Where, p=pressure ,F= force applied and A= area perpendicular to force
Force can be determined by formula,
[tex]F=mg....ii[/tex]
Where, m= mass and g= gravitational acceleration=9.8m/s^2
substituting eq.ii in eq.i,
[tex]P=\frac{mg}{A}\\\\A=\frac{mg}{P}\\\\A=\frac{62*9.8}{3.5*10^5}\\\\A=\frac{607.6}{3.5*10^5}\\\\A=0.001736m^2=17.36cm^2[/tex]
Thus, the area of tires in contact with the ground is [tex]17.36 cm^2[/tex]
To learn more about pressure refer here
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