Assuming that the axle of the yo-yo has a radius of 0.3 m, find the velocity of

Question

Assuming that the axle of the yo-yo has a radius of 0.3 m, find the velocity of descent at the end of the fall. The acceleration of gravity is 9.81 m/s2.
Answer in units of m/s.

A giant yo-yo of mass 430 kg measuring about 1.2 m in radius was dropped from a platform 63 m high. One end of the string was tied to the platform, so the yo-yo unwinds as it descended. Assuming that the axle of the yo-yo has a radius of 0.3 m, find the velocity of descent at the end of the fall. The acceleration of gravity is 9.81 m/s2. Answer in units of m/s.

Explanation / Answer

T x 0.1 = I x alpha

T x 0.1 = m x 1.2^2 /2 x (a / 1.2)

T = 6ma /....(i)

mg - T = ma ...(ii)

so , mg - 6ma = ma

a = g/7 = 1.401 m/s2

v^2 = 2ah

v = sqrt(2 x 1.401 x 51) = 11.96 m/s

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