In a tire-throwing, competition, a man holding a 23.5-kg car tire quickly swings the tire...
In a tire-throwing, competition, a man holding a 23.5-kg car tire quickly swings the tire through three full turns and releases it, much like a discus thrower.The tire starts from rest and is then accelerated in a circular path. The orbital radius r for the tire's center of mass is 1.10 m, and the path is horizontal to the ground. The figure shows a top view of the tire's circular path, and the dot at the center marks the rotation axis. The man applies a constant torque of 20.0 N m to accelerate the tire at a constant angular acceleration. Assume that all of the tire's mass is at a radius R = 0.35 m from its center.
a) What is the time, tthrow, required for the tire to complete three full revolutions?
b) What is the final linear speed of the tire's center of mass (after three full revolutions)?
c) If, instead of assuming that all of the mass of the tire is at a distance 0.35 m from its center, you treat the tire as a hollow disk of inner radius 0.30 m and outer radius 0.40 m, how does this change your answers to parts (a) and (b)?
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