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Math 112 Spring 2008
Example problems from 6.5
1. The current generated by an AM radio transmitter is given by a function of the form
f
(
t
) =
A
sin
(
2000
mt
)
, where 550
≤
m
≤
1600 is the location on the broadcast dial and
t
is measured in seconds. For example, a station at 980 on the AM dial has a function of
the following form.
f
(
t
) =
A
sin
(
2000
π
(
980
)
t
) =
A
sin
(
1
,
960
,
000
π
t
)
Sound information is added to this signal by varying (modulating)
A
, that is, by changing
the amplitude of the waves being transmitted. (AM means ”amplitude modulation.”)
For a station at 1440 on the dial, what is the period of function
f
? What is the frequency
(number of complete waves per second or Hertz)?
2. The original Ferris wheel, built by George Ferris for the Columbian Exposition of 1893,
was much larger and slower than its modern counterparts: It had a diameter of 250 feet
and contained 36 cars, each of which held 60 people; it made one revolution every 10
minutes. Imagine that the Ferris wheel revolves counterclockwise in the
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This note was uploaded on 04/28/2008 for the course MATH 112 taught by Professor Lum during the Spring '08 term at University of Oregon.
 Spring '08
 LUM
 Math

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