Question Detail

PHY 101 PHY 101 Past Questions Objective Question

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 farther out, 6 m from the centre. Calculate the tangential speed of each object.
Options
A 0.42 m/s and 0.42 m/s
B 0.42 m/s and 0.84 m/s
Correct Answer
C 0.14 m/s and 0.42 m/s
D 0.32 m/s and 0.42 m/s
Correct Answer

Option B is the correct answer.

Detailed Explanation

Angular velocity ω = 2π/T = 2π/45 = 0.1396 rad/s. Tangential speed v = ωr. 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

v = ωr, ω = 2π/T.

Question Info