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Questions and Answers
What is the function y(t) for the given periodic function?
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?
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 $y= 4 \sin (4\pi t-6)+7$?
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 $y= 4 \sin (4\pi t-6)+7$?
What is the mean level of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)+7$?
What is the phase constant of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)+7$?
What is the phase constant of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)+7$?
What is the amplitude of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)+7$?
What is the amplitude of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)+7$?
What is the angular velocity of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)+7$?
What is the angular velocity of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)+7$?
What is the mean level of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)-7$?
What is the mean level of the oscillatory motion described by the equation $y= 4 \sin (4\pi t-6)-7$?
What is the amplitude of the oscillatory motion described by the equation $y= 10 ext{ cos} (10 ext{Ï€}t-10)-10$?
What is the amplitude of the oscillatory motion described by the equation $y= 10 ext{ cos} (10 ext{Ï€}t-10)-10$?
What is the maximum speed of the particle in oscillatory motion described by the equation $v(t) = 3 ext{ sin} (2 ext{Ï€}t- ext{Ï€}/3)+ 1$?
What is the maximum speed of the particle in oscillatory motion described by the equation $v(t) = 3 ext{ sin} (2 ext{Ï€}t- ext{Ï€}/3)+ 1$?
What is the angular speed of the particle in oscillatory motion described by the equation $v(t) = 3 ext{ sin} (2 ext{Ï€}t- ext{Ï€}/3)+ 1$?
What is the angular speed of the particle in oscillatory motion described by the equation $v(t) = 3 ext{ sin} (2 ext{Ï€}t- ext{Ï€}/3)+ 1$?
What is the velocity of the particle at t=1/6 in oscillatory motion described by the equation $v(t) = 3 ext{ sin} (2 ext{Ï€}t- ext{Ï€}/3)+ 1$?
What is the velocity of the particle at t=1/6 in oscillatory motion described by the equation $v(t) = 3 ext{ sin} (2 ext{Ï€}t- ext{Ï€}/3)+ 1$?
What is the amplitude of the sound intensity described by the equation $I= 5 ext{ cos} (2 ext{Ï€}t/3- ext{Ï€}/2) + 55 ext{ dB}$?
What is the amplitude of the sound intensity described by the equation $I= 5 ext{ cos} (2 ext{Ï€}t/3- ext{Ï€}/2) + 55 ext{ dB}$?
What is the maximum intensity of the sound intensity described by the equation $I= 5 ext{ cos} (2 ext{Ï€}t/3- ext{Ï€}/2) + 55 ext{ dB}$?
What is the maximum intensity of the sound intensity described by the equation $I= 5 ext{ cos} (2 ext{Ï€}t/3- ext{Ï€}/2) + 55 ext{ dB}$?
What is the minimum intensity of the sound intensity described by the equation $I= 5 ext{ cos} (2 ext{Ï€}t/3- ext{Ï€}/2) + 55 ext{ dB}$?
What is the minimum intensity of the sound intensity described by the equation $I= 5 ext{ cos} (2 ext{Ï€}t/3- ext{Ï€}/2) + 55 ext{ dB}$?
What is the amplitude of the affection model described by the equation $L=10 ext{ cos}( ext{Ï€}t/2 + ext{Ï€}/2 )+ 5$?
What is the amplitude of the affection model described by the equation $L=10 ext{ cos}( ext{Ï€}t/2 + ext{Ï€}/2 )+ 5$?
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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 (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.
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