61. Two Fans Electric fans A and B have radius 1 ft and, when switched on, rotate counterclockwise at the rate of 100 revo- lutions per minute. Starting with the position shown in the figure, the fans are simultaneously switched on. (a) For each fan, find an equation that gives the height of the red dot (above the horizontal line shown) t minutes after the fans are switched on. (b) Are the fans rotating in phase? Through what angle should fan A be rotated counterclockwise in order that the two fans rotate in phase? A B

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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61. Two Fans Electric fans A and B have radius 1 ft and, when
switched on, rotate counterclockwise at the rate of 100 revo-
lutions per minute. Starting with the position shown in the
figure, the fans are simultaneously switched on.
(a) For each fan, find an equation that gives the height of the
red dot (above the horizontal line shown) t minutes after
the fans are switched on.
(b) Are the fans rotating in phase? Through what angle
should fan A be rotated counterclockwise in order that
the two fans rotate in phase?
A
B
Transcribed Image Text:61. Two Fans Electric fans A and B have radius 1 ft and, when switched on, rotate counterclockwise at the rate of 100 revo- lutions per minute. Starting with the position shown in the figure, the fans are simultaneously switched on. (a) For each fan, find an equation that gives the height of the red dot (above the horizontal line shown) t minutes after the fans are switched on. (b) Are the fans rotating in phase? Through what angle should fan A be rotated counterclockwise in order that the two fans rotate in phase? A B
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