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Lindsay is going out for a bike ride. She loves to ride along the Wabash river. Lindsay weighs approximately 70 kg, and her very pink bicycle weighs 4 kg. The total weight is supported equally by the two wheels. The bicycle tires are 0.018 m wide, and have been carefully inflated to a total gauge pressure of 7.95 x 105 Pa. Determine how much of each tire (i.e., the length) is in contact with the ground at any time.

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Answer:

the length = 2.5 cm

Explanation:

The total force on 2 wheel = (70×4)×9.8

= 725.2 N

Force on a wheel =[tex]\frac{725.2}{2} N[/tex]

= 362.6 N

[tex]P = \frac{F}{A}\\\\(7.95*10^5 \ Pa) = \frac{362.6}{A}\\\\A = \frac{372.6}{7.95*10^5}\\\\A = 4.56*10^{-4} m^2[/tex]

Area A = L × d

[tex]L = \frac{A}{d}\\\\L = \frac{4.56*10^{-4}}{0.018}\\\\L = 0.0253 \ m\\\\L = 2.5 \ cm[/tex]

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