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Oscillatory Motion and Sound Intensity Equations Quiz
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Oscillatory Motion and Sound Intensity Equations Quiz

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Questions and Answers

What is the function y(t) for the given periodic function?

  • $y(t) = 5\cos(2t-3) + 10$
  • $y(t) = 5\cos(2t+3) + 10$
  • $y(t) = 5\sin(2t-3) + 10$
  • $y(t) = 5\sin(2t+3) + 10$ (correct)
  • What is the maximum value of y for the given function?

  • 15 (correct)
  • 5
  • 10
  • 20
  • What is the period of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)+7$?

  • $\frac{1}{2}$ (correct)
  • $\frac{1}{16}$
  • $\frac{1}{8}$
  • $\frac{1}{4}$
  • What is the mean level of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)+7$?

    <p>7</p> Signup and view all the answers

    What is the phase constant of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)+7$?

    <p>$-6$</p> Signup and view all the answers

    What is the amplitude of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)+7$?

    <p>4</p> Signup and view all the answers

    What is the angular velocity of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)+7$?

    <p>$4\pi$</p> Signup and view all the answers

    What is the mean level of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)-7$?

    <p>$-7$</p> Signup and view all the answers

    What is the amplitude of the oscillatory motion described by the equation $y= 10 ext{ cos} (10 ext{Ï€}t-10)-10$?

    <p>10</p> Signup and view all the answers

    What is the maximum speed of the particle in oscillatory motion described by the equation $v(t) = 3 ext{ sin} (2 ext{Ï€}t- ext{Ï€}/3)+ 1$?

    <p>4</p> Signup and view all the answers

    What is the angular speed of the particle in oscillatory motion described by the equation $v(t) = 3 ext{ sin} (2 ext{Ï€}t- ext{Ï€}/3)+ 1$?

    <p>2Ï€</p> Signup and view all the answers

    What is the velocity of the particle at t=1/6 in oscillatory motion described by the equation $v(t) = 3 ext{ sin} (2 ext{Ï€}t- ext{Ï€}/3)+ 1$?

    <p>1.5</p> Signup and view all the answers

    What is the amplitude of the sound intensity described by the equation $I= 5 ext{ cos} (2 ext{Ï€}t/3- ext{Ï€}/2) + 55 ext{ dB}$?

    <p>5</p> Signup and view all the answers

    What is the maximum intensity of the sound intensity described by the equation $I= 5 ext{ cos} (2 ext{Ï€}t/3- ext{Ï€}/2) + 55 ext{ dB}$?

    <p>60 dB</p> Signup and view all the answers

    What is the minimum intensity of the sound intensity described by the equation $I= 5 ext{ cos} (2 ext{Ï€}t/3- ext{Ï€}/2) + 55 ext{ dB}$?

    <p>50 dB</p> Signup and view all the answers

    What is the amplitude of the affection model described by the equation $L=10 ext{ cos}( ext{Ï€}t/2 + ext{Ï€}/2 )+ 5$?

    <p>10</p> Signup and view all the answers

    Study Notes

    Oscillatory Motion and Sound Intensity Equations

    • The mean level of the oscillatory motion y= 10 cos (10Ï€t-10)-10 is -10.
    • The maximum speed of the particle in oscillatory motion v(t) = 3 sin (2Ï€t- Ï€/3)+ 1 is 4.
    • The minimum speed of the particle in oscillatory motion v(t) = 3 sin (2Ï€t- Ï€/3)+ 1 is 2.
    • The velocity of the particle at t=1/6 in oscillatory motion v(t) = 3 sin (2Ï€t- Ï€/3)+ 1 is 1.5.
    • The velocity of the particle at t=5/12 in oscillatory motion v(t) = 3 sin (2Ï€t- Ï€/3)+ 1 is 3.
    • The amplitude of the particle in oscillatory motion v(t) = 6 sin (2Ï€t- Ï€/3)+ 2 is 6.
    • The angular speed of the particle in oscillatory motion v(t) = 3 sin (2Ï€t- Ï€/3)+ 1 is 2Ï€.
    • The initial phase constant of the particle in oscillatory motion v(t) = 3 sin (2Ï€t- Ï€/3)+ 1 is Ï€/3.
    • The amplitude of the sound intensity I= 5 cos (2Ï€t/3- Ï€/2) + 55 dB is 5.
    • The maximum intensity of the sound intensity I= 5 cos (2Ï€t/3- Ï€/2) + 55 dB is 60 dB.
    • The minimum intensity of the sound intensity I= 5 cos (2Ï€t/3- Ï€/2) + 55 dB is 50 dB.
    • The amplitude of the affection model L=10 cos( Ï€t/2 + Ï€/2 )+ 5 is 10.

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    Description

    Test your understanding of oscillatory motion and sound intensity equations with this quiz. Explore concepts such as mean level, maximum and minimum speed, velocity at specific times, amplitude, angular speed, and initial phase constant. Practice solving equations and interpreting results in the context of oscillatory motion and sound intensity.

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