 #1
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Homework Statement
f
f
Homework Equations
##a = {v^2}{r}##
##d = vt##
The Attempt at a Solution
The way I do it is break it down into the curved and straight segment.
The bicycle is always travelling at a constant speed.
Curved portion:
distance ##\frac{\pi R^2}{4}##
acceleration ##= \frac{v^2}{R}##
time ##t = \frac{\frac{\pi R^2}{4}}{v}##
Straight portion:
distance ##R##
acceleration 0
time ##t = \frac{R}{v}##
Combining these two pieces
avg acc. = ##\frac{\frac{v^2}{R} \cdot \frac{\pi R^2}{v}}{\frac{\pi R^2}{v} +\frac{R}{v}} = \frac{\pi Rv}{\frac{\pi R^2+R}{v}} = \frac{\pi v^2}{\pi R + 1}##
As for the direction, I'm assuming it's to the right?
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