Read the problems carefully, provide the needed values and graphs of the functions, then answer the questions that follow. Modeling: Simple Harmonic Motion A minute hand sweeps around the face of a clock once every 60 minutes. This clock has a radius of 10 cm. Write an equation for the position of the tip of the minute hand with respect to the horizontal diameter of the clock (or the value of the y-coordinate of the point at the end of the minute-hand) as a function of the time in minutes. Assume that when t = 0, the minute hand is at 12. ++ First, use the your knowledge of the 30 - 60° – 90° relationship to fill out the table for the first half of the minute hand's rotation. Then plot those values on the graph and use 1, in minutes 5 25 30 10 15 20 y, in cm What type of function will best model this situation? Why? What is the amplitude? How did you determine this? What is the period? How did you determine this? Use these answers to write an equation that models the situation, answering the original question.

Read the problems carefully, provide the needed values and graphs of the functions, then answer the questions that follow. Modeling: Simple Harmonic Motion A minute hand sweeps around the face of a clock once every 60 minutes. This clock has a radius of 10 cm. Write an equation for the position of the tip of the minute hand with respect to the horizontal diameter of the clock (or the value of the y-coordinate of the point at the end of the minute-hand) as a function of the time in minutes. Assume that when t = 0, the minute hand is at 12. ++ First, use the your knowledge of the 30 - 60° – 90° relationship to fill out the table for the first half of the minute hand's rotation. Then plot those values on the graph and use 1, in minutes 5 25 30 10 15 20 y, in cm What type of function will best model this situation? Why? What is the amplitude? How did you determine this? What is the period? How did you determine this? Use these answers to write an equation that models the situation, answering the original question.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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