हिंदी

The equation of S.H.M. of a particle of amplitude 4 cm performing 150 oscillations per minute starting with an initial phase 30° is ____________. -

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प्रश्न

The equation of S.H.M. of a particle of amplitude 4 cm performing 150 oscillations per minute starting with an initial phase 30° is ____________.

विकल्प

  • `"x" = 4  "sin" (2 pi"t"+ pi//6)`

  • `"x" = 4  "sin" (5 pi"t"+ pi//6)`

  • `"x" = 4  "sin" (2 pi"t"+ pi//3)`

  • `"x" = 4  "sin" (5 pi"t"+ pi//3)`

MCQ
रिक्त स्थान भरें

उत्तर

The equation of S.H.M. of a particle of amplitude 4 cm performing 150 oscillations per minute starting with an initial phase 30° is `"x" = 4  "sin" (5 pi"t"+ pi//6)`.

Explanation:

`"A" = 4"cm", alpha = 30° = pi/6`

f = 150 oscillation per minute= 150/60 Hz,

`omega = 2pi"f" = 2pi xx 150/60 = 5pi`

Equation of S.H.M becomes,

 `"x" = 4  "sin" (5 pi"t"+ pi//6)`

shaalaa.com
Amplitude (A), Period (T) and Frequency (N) of S.H.M.
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