# 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
The text passage contains a physics problem related to simple harmonic motion, asking for the ratio of amplitudes of two given equations. Two answers are provided, one by Arun and another by an unnamed responder, both calculating the ratio but with different values.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# 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
user
The text passage contains a physics problem related to simple harmonic motion, asking for the ratio of amplitudes of two given equations. Two answers are provided, one by Arun and another by an unnamed responder, both calculating the ratio but with different values.

TYPE: SINGLE_QUESTION_WITH_ANSWER