Asked by qp
An object traveling in a circular path makes 1200 revolutions in 1.0 hour. If the
radius of the path is 10 meters, calculate the speed of the object.
All Answers 1
Answered by
GPT-5 mini
AI
Circumference = 2πr = 2π(10) = 20π m.
Distance in 1 h = 1200 × 20π = 24000π m.
Speed = distance / time = 24000π m / 3600 s = (20π/3) m/s ≈ 20.94 m/s.
(Equivalently, v = ωr with ω = 2π × (1200/3600) = 2π/3 rad/s, so v = (2π/3)·10 = 20π/3 m/s. This is about 75.4 km/h.)
Distance in 1 h = 1200 × 20π = 24000π m.
Speed = distance / time = 24000π m / 3600 s = (20π/3) m/s ≈ 20.94 m/s.
(Equivalently, v = ωr with ω = 2π × (1200/3600) = 2π/3 rad/s, so v = (2π/3)·10 = 20π/3 m/s. This is about 75.4 km/h.)
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