Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.8 - Modeling Using Variation - Exercise Set - Page 424: 27


The banking angle B is $32{}^\circ $when the turning radius is $r=3.5 feet$.

Work Step by Step

As the banking angle varies inversely as the cycle’s turning radius: $B\propto \frac{1}{r}$ Using the proportionality constant k. $B=\frac{k}{r}$ As $B=28{}^\circ $ and $r=4$ , we have $\begin{align} & B=\frac{k}{r} \\ & 28=\frac{k}{4} \\ & k=28(4) \\ & k=112 \end{align}$ Substitute the value of k in $B=\frac{k}{r}$ $B=\frac{112}{r}$ When $r=2.5$ then,   $B=\frac{112}{2.5}={{32}^{o}}$
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