Question 934940: The top of a flagpole sways back and forth in high winds. The top sways 10 cm to the right (+ 10 cm) and 10 cm to the left (-10 cm) of its resting position and moves back and forth 240 times every minute. At t= 0, the pole was momentarily at its resting position. Then it started to move to the right. Determine the equation of the sinusoidal function that describes the distance d, in centimeters, the top of the pole is from its resting position at time t, in seconds.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! frequency (f) is given as 240 cycles/minute:
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because the answer equation must be in units of seconds ...
convert f to cycles/second:
f = 240 cycles/minute * (1/60 minutes/second)
f = 240/60 cycles/second
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assume our sine() function takes radians and not degrees:
in that case we must convert the argument of the sine() function to radians:
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1 cycle = 2*pi radians
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the units of the argument to the sine() function are:
sine( 2*pi radians/cycle * 240/60 cycles/second * t seconds )
sine( radians )
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d = 10 * sin( 2 * pi * (240/60)t )
d = 10 * sin( 2 * 3.14159265359 * (240/60)t )
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