The current generated by an AM radio transmitter is given by a function of the form
f(t) = Asin(2000(pi)mt), where 550 greater than or equal to m greater than or equal to 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 form
f(t) = Asin(2000(pi)(980)t) = Asin(1960000(pi)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 mod-
ulation.”) For a station at 1190 on the dial, what is the period of the function f? What
is the frequency (number of complete waves per second)?
f(t) = Asin(2000(pi)mt), where 550 greater than or equal to m greater than or equal to 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 form
f(t) = Asin(2000(pi)(980)t) = Asin(1960000(pi)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 mod-
ulation.”) For a station at 1190 on the dial, what is the period of the function f? What
is the frequency (number of complete waves per second)?