(a) Determine the height h of the tooth (i.e., the maximum value of y(x)). (b) Determine the coordinates x and bx2 where y(x) = 0, and calculate the width b. (c) Determine the area of the gear tooth by integration with respect 1bto x.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
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9-16. The geometry of a gear tooth is approx-
imated by the following quadratic
equation as shown in Fig. P9.16.
onl
(b)
Y, mm
y(x) = - 2r + 12x – 16
ebeld
h
X, mm
X2
gure P9.16 Geometry of a gear tooth.
Transcribed Image Text:9-16. The geometry of a gear tooth is approx- imated by the following quadratic equation as shown in Fig. P9.16. onl (b) Y, mm y(x) = - 2r + 12x – 16 ebeld h X, mm X2 gure P9.16 Geometry of a gear tooth.
ho
(a) Determine the height h of the tooth
nohaleo
(i.e., the maximum value of y(x)).
(b) Determine the coordinates x, and
od adi br
102 width b. lov
loido (c) Determine the area of the gear
lev tooth by integration with respect
X2 where y(x) = 0, and calculate the
od Jedib t x.
(d) Determine the x-coordinate of the
centroid by integration with respect
to x.
Iegi (e) Determine the y-coordinate of the
centroid by integration with respect
to x.
Transcribed Image Text:ho (a) Determine the height h of the tooth nohaleo (i.e., the maximum value of y(x)). (b) Determine the coordinates x, and od adi br 102 width b. lov loido (c) Determine the area of the gear lev tooth by integration with respect X2 where y(x) = 0, and calculate the od Jedib t x. (d) Determine the x-coordinate of the centroid by integration with respect to x. Iegi (e) Determine the y-coordinate of the centroid by integration with respect to x.
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