| Analysis
What
qualitative conclusions can you draw about the effects of bearing tightness
and lubrication
condition
on the rotation of the wheel? How does increasing the mass at the wheel
rim alter the data you obtained? Are ball or roller bearings a 'better
idea' than plane metal bearings for the wheels and the
pedals?
Why? Is the rotational speed of the wheel time dependent? What are the
interactions between the wheel and its surroundings that cause the time
dependent rotational behavior? Can you estimate which of the effects you
identify might be the most important?
Assume
that the mass of the wheel and tire is located at the rim and that the
additional mass due to the weights is at the radius of the weights on the
spokes and evenly distributed circumferentially . Compute the moment of
inertia of the wheel for the different weight locations you use. For these
assumptions, the moment of inertia, I
is given by: I = MR2 + mr2
where M is the
mass of the wheel and tire and m
is the total mass of the added weights. R
and r
are the radii at which these masses are located.
Compute
the rotational kinetic energy , Trot,
of the wheel for the various times at which you measured the wheels angular
velocity. The rotational kinetic energy of the wheel when its angular velocity
is w
is:
Trot = ½ Iw2.
Estimate the rate of energy loss by the wheel. Is this the same at all
rotational speeds? Does it depend upon the magnitude of the wheel's moment
of inertia?
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