Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Trigonometric Functions - Section 1.1 Angles - 1.1 Exercises - Page 9: 135

Answer

12.5 rotations

Work Step by Step

1. We take the given rate of pulley and convert it to degrees per hour $\frac{75^{\circ}}{1min}$$\times$$\frac{60min}{1hr}$ = 4500$^{\circ}$/hr 2. To find number of rotations in one hour, we need to divide the total number of degrees by 360: $ \frac{4500^{\circ}}{1hr}\times$$\frac{1 rot}{360^{\circ}}$ = 12.5 rotations/ hour Therefore, in one hour 12.5 rotations
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