text: # Two simple harmonic motions are represented  by equation  y1=10sin (4×22÷7t+22÷7÷4)and y2=5 (sin 322÷7t+root3cos322÷7t).their amplitudes are in what ratio
  
  Arun
  25750 Points
  6 years ago
  Dear student
  
  y1 = 10 sin (4*pi*t + pi/4)
  y2 = 5 sin 3*pi*t + sqrt(3) cos 3*pi*t
  y2 = $\sqrt$34 sin (3*pi*t + @)
  Hence ratio of amplitude of y1 and y2
  = 10/$\sqrt$34
  
  Regards
  4 years ago
  Dear student,
  
  y1 = 10 sin (4πt + π/4)
  y2 = 5 sin 3πt + 3 cos 3πt
  y2 = 34 sin (3πt + @)
  Hence ratio of amplitude of y1 and y2
  = 10/34
  
  Thanks and regards,
  Kushagra
explanation: The document contains a math question about the ratio of amplitudes of two simple harmonic motions, along with an answer provided by a user named Arun and another response by a user named Kushagra. The answers provided by both users are slightly different, with Arun giving the ratio as \( \frac{10}{\sqrt{34}} \) and Kushagra giving the ratio as \( \frac{10}{34} \).
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Two simple harmonic motions are represented  by equation  y1=10sin (4×22÷7t+22÷7÷4)and y2=5 (sin 322÷7t+root3cos322÷7t).their amplitudes are in what ratio
  
  Arun
  25750 Points
  6 years ago
  Dear student
  
  y1 = 10 sin (4*pi*t + pi/4)
  y2 = 5 sin 3*pi*t + sqrt(3) cos 3*pi*t
  y2 = $\sqrt$34 sin (3*pi*t + @)
  Hence ratio of amplitude of y1 and y2
  = 10/$\sqrt$34
  
  Regards
  4 years ago
  Dear student,
  
  y1 = 10 sin (4πt + π/4)
  y2 = 5 sin 3πt + 3 cos 3πt
  y2 = 34 sin (3πt + @)
  Hence ratio of amplitude of y1 and y2
  = 10/34
  
  Thanks and regards,
  Kushagra
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question about the ratio of amplitudes of two simple harmonic motions, along with an answer provided by a user named Arun and another response by a user named Kushagra. The answers provided by both users are slightly different, with Arun giving the ratio as \( \frac{10}{\sqrt{34}} \) and Kushagra giving the ratio as \( \frac{10}{34} \).
  
  Label: question-and-answer