A windmill spins at a rate of 15 rpm (Revolutions per minute). Its arms are 3 m long and its center sits 12 m above the ground. A caterpillar clinging to the edge of an arm will experience periodic motion. Let h' represent the height of the caterpillar from the ground.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 18EQ

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Question

A windmill spins at a rate of 15 rpm (Revolutions per minute). Its arms are 3 m long and its center sits 12 m above the ground. A caterpillar clinging to the edge of an arm will experience periodic motion. Let ‘h’ represent the height of the caterpillar from the ground. Assuming the caterpillar starts at the bottom, give two equations for its vertical position (height) as a function of time (t, in seconds), one using cos and the other with sine

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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