Why do we square the conversion factor from cm^2 to m^2? Wouldn\'t 2 * 7.13 cm i

Question

Why do we square the conversion factor from cm^2 to m^2? Wouldn't 2 * 7.13 cm in meters simply be 2 * 0.0713? So shouldn't we just have to multiply by (1m / 100cm) once?

Picture the Problem: When you ride a bicycle your weight and the weight of the bicycle are supported by the air pressure in both tires spread out over the area of contact between the tires and the road. Strategy: To calculate your weight, first solve equation 15-2 for supporting force of the air pressure on the tires. Set this force equal to the sum of your weight and the weight of the bicycle. Subtract the weight of the bicycle to determine your weight Solution: 1. Multiply the tire pressure by the contact area to calculate the supporting force on the bicycle 1,01x10'Pal(2×713cm2) 14.7 lb/in' F=h-(70.5 lb/in*)| 1.01x10 Pa 100 cmwhy do we square = 690.7 N this? 2. Set the supporting force equal to the sum of your weight and the weight of the bicycle 3. Solve for your weight Wyou = F-mbcycleg = 690.7 N-7.7kg(9.8ms*)-615 N Insight: When "popping a wheelie" on the bicycle, such that only one wheel is touching the ground, that wheel must support the entire weight of the bicycle and rider. Therefore, because the tire pressure has not changed, the area of contact for the single tire would double. In this problem the area would increase to 14.26 cm

Explanation / Answer

2 x 7.13 cm2 = 2 x 7.13 (0.01 m)2                    since 1 cm = 0.01 m

2 x 7.13 (0.01 m)2   

2 x 7.13 (0.01)2 m2

0.001426 m2

in the expression , we have square at unit "cm" , so while converting cm to m, we must take that square into account also

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.