Oscillatory Motion and Sound Intensity Equations Quiz

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Questions and Answers

What is the function for the periodic quantity y(t) with a mean level of 10, amplitude of 5, period of $\pi$, and phase constant of 3?

  • $y(t) = 5\sin(t-3)+10$
  • $y(t) = 5\sin(2t-3)+10$
  • $y(t) = 5\sin(2t+3)+10$ (correct)
  • $y(t) = 5\sin(t+3)+10$

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

  • 20
  • 10
  • 5
  • 15 (correct)

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

  • $\frac{1}{4}$
  • $\frac{1}{2}$
  • $\pi$
  • $2\pi$ (correct)

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

<p>7 (A)</p> Signup and view all the answers

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

<p>-10 (D)</p> Signup and view all the answers

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

<p>4 (A)</p> Signup and view all the answers

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

<p>2 (D)</p> Signup and view all the answers

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

<p>1.5 (C)</p> Signup and view all the answers

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

<p>6 (C)</p> Signup and view all the answers

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

<p>$2 ext{Ï€}$ (A)</p> Signup and view all the answers

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

<p>$ ext{Ï€}/3$ (B)</p> Signup and view all the answers

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

<p>5 (D)</p> Signup and view all the answers

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

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

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

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

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

<p>10 (D)</p> Signup and view all the answers

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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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