Finding Power Ratio of Two Pulley Systems

[henry3369]

Homework Statement

Part C:
http://imgur.com/mFlXGZs

Homework Equations

Power = τω

The Attempt at a Solution

P1/P2 = τ1ω1/τ2ω2 = (T1/T2) * (ω1/ω2)
T1/T2 is found in part B: r1/r2
(ω1/ω2) = vr1/vr2 (velocities are the same) = (r1/r2)
(r1/r2)*(r1/r2) = (r1)^2/(r2)^2

The answer is 1.

 

[TSny]

(ω1/ω2) = vr1/vr2 (velocities are the same) = (r1/r2)

Check this. See part (A). (ω1/ω2) ≠ vr1/vr2