Essential University Physics: Volume 1 (4th Edition)

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 3 - Exercises and Problems - Page 51: 50

Answer

$14.07\space km$

Work Step by Step

Please see the attached image first. Let's assume gravitational acceleration $(g) = 9.8\space m/s^{2}$ First of all, let's convert 988km/h into m/s by using 1000 m/km & 3600 s/h conversion factors as follows. $988\space km/h=(\frac{988\space km}{h})(\frac{1000\space m}{km})(\frac{h}{3600\space s})= 274.4\space m/s$ We know that, $a=\frac{V^{2}}{r}$ in a circular motion By using this equation we can find the turning radius of the jet plane as follows. $a=\frac{V^{2}}{a}$ Now plug known values into this equation, $r=\frac{(274.4\space m/s)^{2}}{0.564\times9.8\space m/s^{2}}$ $r= 14071.79\space m= 14.07\space km$ The minimum turning radius for the plane = 14.07 km
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