- #1

- 8

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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 traveling 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?