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If displacement equation of a simple harmonic motion is y=0.7 Sin (50πt +30) meyer then calculate- 1, frequency 2,angular frequency frequency 4 time period 5 phase angle 6 intal phase angle?
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If displacement equation of a simple harmonic motion is y=0.7 Sin (50π...
Finding Parameters of Simple Harmonic Motion
In summary, the parameters of the given simple harmonic motion are:
Frequency = 50π Hz
Angular Frequency = 100π rad/s
Time Period = 0.00637 s-1
Phase Angle = 90°
Initial Phase Angle = 30°
- Frequency: The frequency of a simple harmonic motion is given by the formula f = 1/T, where T is the time period. Here, T = 1/f = 1/(50π) = 0.00637 s-1. Therefore, the frequency is 50π Hz.
- Angular Frequency: The angular frequency of a simple harmonic motion is given by the formula ω = 2πf. Here, ω = 2π(50π) = 100π rad/s.
- Time Period: The time period of a simple harmonic motion is given by the formula T = 1/f. Here, T = 1/(50π) = 0.00637 s-1.
- Phase Angle: The phase angle of a simple harmonic motion is given by the formula Φ = tan-1(y/x), where y is the amplitude and x is the displacement at t = 0. Here, y = 0.7 and x = 0. Therefore, Φ = tan-1(0.7/0) = 90°.
- Initial Phase Angle: The initial phase angle of a simple harmonic motion is given by the coefficient of t in the displacement equation. Here, the coefficient of t is 50π. Therefore, the initial phase angle is 30°.
In summary, the parameters of the given simple harmonic motion are:
Frequency = 50π Hz
Angular Frequency = 100π rad/s
Time Period = 0.00637 s-1
Phase Angle = 90°
Initial Phase Angle = 30°
Community Answer
If displacement equation of a simple harmonic motion is y=0.7 Sin (50π...
See it is like y=Asin(wt+$).here A is amplitude;w is anglr frqncy;$ is phase angle...TRY TO COMPARE THE EQN...1)frqncy=w/2pie=25Hz"2)angulr frqncy w=50pie"4)timeperiod=2pie/w=0.04"5)phase angle=30""hope u got it ...i dint undrstnd 3;6
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If displacement equation of a simple harmonic motion is y=0.7 Sin (50πt +30) meyer then calculate- 1, frequency 2,angular frequency frequency 4 time period 5 phase angle 6 intal phase angle?
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If displacement equation of a simple harmonic motion is y=0.7 Sin (50πt +30) meyer then calculate- 1, frequency 2,angular frequency frequency 4 time period 5 phase angle 6 intal phase angle? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If displacement equation of a simple harmonic motion is y=0.7 Sin (50πt +30) meyer then calculate- 1, frequency 2,angular frequency frequency 4 time period 5 phase angle 6 intal phase angle? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If displacement equation of a simple harmonic motion is y=0.7 Sin (50πt +30) meyer then calculate- 1, frequency 2,angular frequency frequency 4 time period 5 phase angle 6 intal phase angle?.
If displacement equation of a simple harmonic motion is y=0.7 Sin (50πt +30) meyer then calculate- 1, frequency 2,angular frequency frequency 4 time period 5 phase angle 6 intal phase angle? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If displacement equation of a simple harmonic motion is y=0.7 Sin (50πt +30) meyer then calculate- 1, frequency 2,angular frequency frequency 4 time period 5 phase angle 6 intal phase angle? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If displacement equation of a simple harmonic motion is y=0.7 Sin (50πt +30) meyer then calculate- 1, frequency 2,angular frequency frequency 4 time period 5 phase angle 6 intal phase angle?.
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