Answer:
60.99 kg
Explanation:
The pressure is equal to the force divided by the area. In this case, the force is the weight of you and the bike, so we can write the following equation
[tex]P=\frac{F}{A}[/tex]Where F is the weight, A is the area, and P is the pressure
So, solving for F, we get:
[tex]F=PA[/tex]Now, we need to convert 70.2 lb/in² to kg/cm², so
[tex]70.2\frac{lb}{in^2}\times\frac{0.45\text{ kg}}{1\text{ lb}}\times\frac{1in^2}{6.4516cm^2}=4.89\operatorname{kg}/cm^2[/tex]Now, the weight of you and the bike in one tire is equal to
F = (4.89 kg/cm²)(7.03 cm²) = 34.42 kg
Since this weight is supported by the two tires, the total weight of you and the bike is:
2 x 34.42 kg = 68.84 kg
Now, we can subtract the weight of the bike
68.84 kg - 7.85 kg = 60.99 kg
Therefore, your weight is 60.99 kg
