Wheel and distance — An engine wheel turns 350 revolutions to cover 1.76 km. Find the wheel’s diameter (in meters).

Introduction / Context:Each revolution advances the wheel by its circumference. Total distance equals revolutions times circumference. Knowing revolutions and distance, we solve circumference, then diameter via C = πD.

Given Data / Assumptions:

• Total distance = 1.76 km = 1760 m
• Revolutions = 350
• Circumference C = distance / revs
• C = πD, with π ≈ 22/7 for neat arithmetic

Concept / Approach:Compute C, then divide by π to get D. Units must be consistent (meters throughout).

Step-by-Step Solution:C = 1760 / 350 = 176 / 35 ≈ 5.028571… mD = C / π ≈ 5.028571… / (22/7) = 5.028571… * 7 / 22 ≈ 1.6 m

Verification / Alternative check:Use π ≈ 3.1416: D ≈ 5.0286 / 3.1416 ≈ 1.60 m, consistent with the above.

Why Other Options Are Wrong:1.4, 1.2, 1.8, and 2.0 m do not satisfy πD ≈ 5.0286 m. Options in centimeters sometimes appear in misprints; correct scale is meters.

Common Pitfalls:Mixing units (km, m); forgetting that 1 revolution equals one full circumference.

Final Answer:1.6 m