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Math Help - TEST HELPsinusoidal- find max and min voltages

  1. #1
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    TEST HELPsinusoidal- find max and min voltages

    This is the question: The voltage from a wall socket can be described by the equation v(t)= 170sin120pit, where t is time, in seconds, and V is the voltage in volts at time t.
    1. Find the maximum and minimum voltage levels and the times at which they occur.

    Please help. I have a test tmrw. Thank you.
    Last edited by onehundredpercenteffort; April 8th 2013 at 02:20 PM.
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  2. #2
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    Re: TEST HELPsinusoidal- find max and min voltages

    Quote Originally Posted by onehundredpercenteffort View Post
    This is the question: The voltage from a wall socket can be described by the equation v(t)= 170sin120pit, where t is time, in seconds, and V is the voltage in volts at time t.
    Is it 170sin(120)pit or 170sin(120pit)? What are p and i? There is no capital V in the equation; there is a lowercase v (in math and physics, those are different things).
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  3. #3
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    Re: TEST HELPsinusoidal- find max and min voltages

    Quote Originally Posted by onehundredpercenteffort View Post
    This is the question: The voltage from a wall socket can be described by the equation v(t)= 170sin120pit, where t is time, in seconds, and V is the voltage in volts at time t.
    1. Find the maximum and minimum voltage levels and the times at which they occur.
    Ah, I guess the function is v(t)=170\sin(120\pi t). The period of sin(x) is 2\pi, and multiplying the argument x by some constant a reduces the period a times, i.e., the period of sin(ax) is 2\pi/a. Now, as with regular sin(x), the maximum of sin(ax) is reached at 1/4 the period and the minimum at 3/4 the period. The maximum and minimum of sin(ax) are 1 and -1, respectively, so the maximum and minimum of b * sin(ax) where b > 0 are b and -b, respectively.
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