Distance from revolutions of a small wheel: The diameter of a wheel is 63 cm. How far (in meters) does it travel in 100 revolutions, assuming no slipping?

Introduction / Context:We translate wheel rotations to linear travel using the circumference. With a diameter given in centimeters, careful unit handling ensures the final distance is in meters as requested.

Given Data / Assumptions:

• d = 63 cm = 0.63 m
• Revolutions N = 100
• No slip (distance = N * circumference)

Concept / Approach:Use C = π * d (in meters). Distance L = N * C. With π ≈ 22/7, the arithmetic becomes simple.

Step-by-Step Solution:C = π * 0.63 ≈ (22/7) * 0.63 = 1.98 mL = 100 * 1.98 = 198 m

Verification / Alternative check:Using π ≈ 3.1416 gives C ≈ 1.976 m and L ≈ 197.6 m; rounded to the nearest listed value, 198 m is correct.

Why Other Options Are Wrong:99 m and 63 m correspond to using radius or single-turn distance; 136 m and 158.4 m do not match any consistent π approximation for 100 turns.

Common Pitfalls:Leaving units in centimeters or using 2πr inconsistently with a diameter input; rounding too early per revolution.

Final Answer:198 meters