Motorcycle speed from wheel revolutions:\nA motorcycle wheel of diameter 70 cm makes 40 revolutions in 10 seconds. Find the speed of the motorcycle in km/h.

Difficulty: Easy

Correct Answer: 31.68 km/h

Explanation:


Introduction / Context:
Distance traveled equals revolutions times circumference. Convert the resulting m/s to km/h.



Given Data / Assumptions:

  • Diameter d = 0.70 m ⇒ circumference C = πd ≈ 2.199 m.
  • 40 rev in 10 s ⇒ 4 rev/s.


Concept / Approach:
Speed v = rev rate * circumference.



Step-by-Step Solution:

1) v = 4 * π * 0.70 ≈ 8.796 m/s.2) Convert to km/h: 8.796 * 3.6 ≈ 31.6656 ≈ 31.68 km/h.


Verification / Alternative check:
Using π ≈ 22/7 gives the same rounded value.


Why Other Options Are Wrong:
They reflect incorrect circumference or conversion factors.


Common Pitfalls:
Forgetting to convert m/s to km/h by 3.6.


Final Answer:
31.68 km/h.

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