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Chrome File Edit View History Bookmarks People Window Help Li WeBWorK: F15Math242-0 × te Home l Chegg.com Maddy - C f L webwork.gannon.edu/webwork2/F15Math242-01/Chap10Sec9/4/?user-schwerin001 &effectiveUser-schwerin001;&key-Zbekl9xCK9TXQlsGhXnVywja99q8TJXN;&theme;=&.. :: Apps Bookmarks Next wco Student Success Ce www.trusnow.com/c Single-Family Home 450RENT-Gannon WeBWorK MAA Logged in as schwerin001 Log Out G MATHEMATICAL ASSOCIATION OF AMERICA Kwebwork / f15math242-01 chap10sec9/4 MAIN MENU Courses Homework Sets Chap10Sec9: Problem 4 Chap10Sec9 Problem 4 User Settings Previous Problem List Next Grades (1 point) If r(t) cos(7t)i-sin ( 7t)j + 6tk, compute the tangential and normal components of the acceleration vector Tangential component ar(t)= Normal component aN(t) Problems Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 2 Note: You can earn partial credit on this problenm Preview My Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 100% You have 5 attempts remaining Email instructor Page generated at 12/15/2015 at 06:55pm EST WeBWorK © 1996-2015 | theme: math4 I ww-version: 2.10 l pg-version: 2.101 The WeBWorK Project

Explanation / Answer

r(t)=<cos7t,sin7t,6t>

r'(t)=<-7sin7t,7cos7t,6>

r''(t)=<-49cos7t,-49sin7t,0>

|r'(t)|=[(-7sin7t)2+(7cos7t)2+62]=[49((sin7t)2+(cos7t)2)+36]=[49+36]=85

r'(t).r''(t)=<-7sin7t,7cos7t,6>.<-49cos7t,-49sin7t,0>=343sin7tcos7t -343cos7tsin7t +0 =0

r'(t) x r''(t)=<0+294sin7t ,-294cos7t-0 ,343sin2t+343cos2t>=<294sin7t ,-294cos7t ,343>

|r'(t) x r''(t)|=[(294sin7t)2+(-294cos7t)2+3432] =[2942((sin7t)2+(cos7t)2)+3432]=[2942+3432]=451.76

aT=|r'(t).r''(t)|/|r'(t)|=0/85=0

aN=|r'(t)xr''(t)|/|r'(t)|=451.76/85 =49

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