15 Questions
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?
$y(t) = 5\sin(2t+3)+10$
What is the maximum value of y for the function $y(t) = 5\sin(2t+3)+10$?
15
What is the period of the oscillatory motion described by $y = 4 \sin (4\pi t-6)+7$?
$2\pi$
What is the mean level of the oscillatory motion described by $y = 4 \sin (4\pi t-6)+7$?
7
What is the mean level of the oscillatory motion described by $y= 10 ext{ cos} (10 ext{π}t-10)-10$?
-10
What is the maximum speed of the particle in oscillatory motion described by $v(t) = 3 ext{ sin} (2 ext{π}t- ext{π}/3)+ 1$?
4
What is the minimum speed of the particle in oscillatory motion described by $v(t) = 3 ext{ sin} (2 ext{π}t- ext{π}/3)+ 1$?
2
What is the velocity of the particle at $t=1/6$ in oscillatory motion described by $v(t) = 3 ext{ sin} (2 ext{π}t- ext{π}/3)+ 1$?
1.5
What is the amplitude of the particle in oscillatory motion described by $v(t) = 6 ext{ sin} (2 ext{π}t- ext{π}/3)+ 2$?
6
What is the angular speed of the particle in oscillatory motion described by $v(t) = 3 ext{ sin} (2 ext{π}t- ext{π}/3)+ 1$?
$2 ext{π}$
What is the initial phase constant of the particle in oscillatory motion described by $v(t) = 3 ext{ sin} (2 ext{π}t- ext{π}/3)+ 1$?
$ ext{π}/3$
What is the amplitude of the sound intensity described by $I= 5 ext{ cos} (2 ext{π}t/3- ext{π}/2) + 55$ dB?
5
What is the maximum intensity of the sound intensity described by $I= 5 ext{ cos} (2 ext{π}t/3- ext{π}/2) + 55$ dB?
60 dB
What is the minimum intensity of the sound intensity described by $I= 5 ext{ cos} (2 ext{π}t/3- ext{π}/2) + 55$ dB?
50 dB
What is the amplitude of the affection model described by $L=10 ext{ cos}( ext{π}t/2 + ext{π}/2 )+ 5$?
10
Study Notes
Oscillatory Motion and Sound Intensity Equations
- The mean level of the oscillatory motion y= 10 cos (10πt-10)-10 is -10.
- The maximum speed of the particle in oscillatory motion v(t) = 3 sin (2πt- π/3)+ 1 is 4.
- The minimum speed of the particle in oscillatory motion v(t) = 3 sin (2πt- π/3)+ 1 is 2.
- The velocity of the particle at t=1/6 in oscillatory motion v(t) = 3 sin (2πt- π/3)+ 1 is 1.5.
- The velocity of the particle at t=5/12 in oscillatory motion v(t) = 3 sin (2πt- π/3)+ 1 is 3.
- The amplitude of the particle in oscillatory motion v(t) = 6 sin (2πt- π/3)+ 2 is 6.
- The angular speed of the particle in oscillatory motion v(t) = 3 sin (2πt- π/3)+ 1 is 2π.
- The initial phase constant of the particle in oscillatory motion v(t) = 3 sin (2πt- π/3)+ 1 is π/3.
- The amplitude of the sound intensity I= 5 cos (2πt/3- π/2) + 55 dB is 5.
- The maximum intensity of the sound intensity I= 5 cos (2πt/3- π/2) + 55 dB is 60 dB.
- The minimum intensity of the sound intensity I= 5 cos (2πt/3- π/2) + 55 dB is 50 dB.
- The amplitude of the affection model L=10 cos( πt/2 + π/2 )+ 5 is 10.
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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