Question Detail
Question
A circular wheel moving at a constant speed makes a complete rotation in 45 s. Two objects are on the wheel, one at 3 m from the centre and the other at 6 m from the centre. Calculate the tangential speed of each object.
Correct Answer
Option B is the correct answer.
Detailed Explanation
Angular velocity ω = 2π / T = 2π / 45 ≈ 0.1396 rad/s. Tangential speed v = ω r. For r=3 m, v = 0.1396 × 3 = 0.4188 m/s ≈ 0.42 m/s. For r=6 m, v = 0.1396 × 6 = 0.8376 m/s ≈ 0.84 m/s.
Hint
Tangential speed v = ωr, with ω = 2π/T.