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Thread: Trigonometry: Displacement, Frequency, Position, and Ocillation

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    Trigonometry: Displacement, Frequency, Position, and Ocillation

    An object's motion is described by the equation d=4sin(πt). The displacement, d, is measured in meters. The time, t, is measured in seconds. Answer the following questions:


    1. What is the object's position at t = 0?
    2. What is the object's maximum displacement from its resting position?
    3. How much time is required for one oscillation?
    4. What is the frequency?
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    Re: Trigonometry: Displacement, Frequency, Position, and Ocillation

    Quote Originally Posted by TrinityHarvin View Post
    An object's motion is described by the equation d=4sin(πt). The displacement, d, is measured in meters. The time, t, is measured in seconds. Answer the following questions:

    What is the object's position at t = 0?
    substitute 0 for t and evaluate the value of d

    What is the object's maximum displacement from its resting position?
    maximum displacement would be d = 4, why?

    How much time is required for one oscillation?
    what is the period, T, of the expression for d?

    What is the frequency?
    $f = \dfrac{1}{T}$
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    Re: Trigonometry: Displacement, Frequency, Position, and Ocillation

    Okie. So say I got 2 seconds for my oscillation time, I would put that in for T and be left with:
    f=1/2 ?
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    Member Cervesa's Avatar
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    Re: Trigonometry: Displacement, Frequency, Position, and Ocillation

    Quote Originally Posted by TrinityHarvin View Post
    Okie. So say I got 2 seconds for my oscillation time, I would put that in for T and be left with:
    f=1/2 ?
    frequency is 1/2 Hz, interpreted as 1 cycle or oscillation every 2 seconds
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    Re: Trigonometry: Displacement, Frequency, Position, and Ocillation

    Cool! Thanks, man!
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    Re: Trigonometry: Displacement, Frequency, Position, and Ocillation

    Quote Originally Posted by TrinityHarvin View Post
    Okie. So say I got 2 seconds for my oscillation time, I would put that in for T and be left with:
    f=1/2 ?
    It's Physics! Make sure to use units!

    -Dan
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    Re: Trigonometry: Displacement, Frequency, Position, and Ocillation

    10 4!
    Thanks!
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