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Simple harmonic motion problem

  • #1
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Homework Statement


A body performaning simple harmonic motion has a displacement x given by the equation x= 30 sin 50t, where t is the time in seconds. what is the frequency of the oscillation?
Answers are:
A. 0.020Hz B. 0.13Hz C. 8.0Hz D. 30Hz E. 50Hz
(correct answer is B according to the mark scheme)

Homework Equations


ω = 2πf
x = Amplitude cos (2πf t)
x = Amplitude sin (2πf t)
x = Amplitude cos (ω t)
x = Amplitude cos (ω t)

The Attempt at a Solution


f = 50/2π = 7.9577Ηz according to the standard SHM formulas, which means the answer is C not B? what has gone wrong?
 

Answers and Replies

  • #2
Doc Al
Mentor
44,892
1,144
f = 50/2π = 7.9577Ηz according to the standard SHM formulas, which means the answer is C not B? what has gone wrong?
I'd say you are correct.

Interestingly, answer B is the inverse of that (1/f).
 
  • #3
I'd say you are correct.

Interestingly, answer B is the inverse of that (1/f).
those who had calculated time period first and were in a hurry would mark (B) in the exam:eek:
 
  • #4
Doc Al
Mentor
44,892
1,144
those who had calculated time period first and were in a hurry would mark (B) in the exam:eek:
Exactly. It's a trap!
 

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