A wheel of radius 0.15 m has a massless string wrapped around it, one end of whi

Question

A wheel of radius 0.15 m has a massless string wrapped around it, one end of which is
attached to the wheel, the other end to a block of mass 3.0 kg. At t = 0 s the block is
released from rest, and is observed to accelerate at 0.55 m/s2.

(a) [4 points] What is the tension in the string?
__________

(b) [4 points] What is the magnitude of the torque on the wheel?
__________

(c) [4 points] What is the moment of inertia of the wheel?
__________

(d) [4 points] How much work does gravity perform on the system when the block drops
0.5 m?
__________
(e) [4 points] What percentage of this work done by gravity appears as rotational kinetic
energy of the wheel?

Explanation / Answer

F=ma=mg-T

T=m(g+a)=3*(9.8+0.55)=31.05N

=RT=Rma=0.15*31.05=44.65N-m

=a/R=0.55/0.15=3.66rad/s^2

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