EXAMPLE 4 Given o = 200 rad/s, determine how long it will take the sinusoidal waveform to pass through an angle of 90°. Solution: a =wt, and a t = - However, a must be substituted as t/2(=90°) since o is in radians per second: TT/2 rad t = -= 200 400 H.W. Determine the frequency and period of the sine wave when the angular velocity equal 500 rad/s. AS Dect: ans: T= 12.57 ms and f= 79.58 Hz H.W. (2) Find the angle through which a sinusoidal waveform of 60 Hz will pass in a period of 5 ms. ans: a = 1.885 rad and 108°.

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EXAMPLE 4 Given o = 200 rad/s, determine how long it will take the
sinusoidal waveform to pass through an angle of 90°.
Solution: a =wt, and
a
t = -
However, a must be substituted as t/2(=90°) since o is in radians per
second:
TT/2 rad
t = -=
200
400
H.W.
Determine the frequency and period of the sine wave when the
angular velocity equal 500 rad/s.
AS Dect:
ans: T= 12.57 ms and f= 79.58 Hz
H.W. (2) Find the angle through which a sinusoidal waveform of 60 Hz will
pass in a period of 5 ms.
ans: a = 1.885 rad and 108°.
Transcribed Image Text:EXAMPLE 4 Given o = 200 rad/s, determine how long it will take the sinusoidal waveform to pass through an angle of 90°. Solution: a =wt, and a t = - However, a must be substituted as t/2(=90°) since o is in radians per second: TT/2 rad t = -= 200 400 H.W. Determine the frequency and period of the sine wave when the angular velocity equal 500 rad/s. AS Dect: ans: T= 12.57 ms and f= 79.58 Hz H.W. (2) Find the angle through which a sinusoidal waveform of 60 Hz will pass in a period of 5 ms. ans: a = 1.885 rad and 108°.
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