Pendulum of unknown length and unknown g, only period given

  • Thread starter mh1985
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  • #1
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Homework Statement



Pendulum of unknown length, l, has period of 9.32 seconds. Length is increased by 1 metre, and time period increases to 9.734 seconds. Calculate original length of pendulum and determine whether the experiment was conducted on earth. Hint: g is not assumed to be 9.81 ms^-2, you must find both g & l

Homework Equations



x(t) = A1 cos vnt + A2 sin vnt?


The Attempt at a Solution



Really not sure where to start, due to the two unknowns!
 

Answers and Replies

  • #2
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Can you express the period as function of g and l?
For both pendulum lengths, you get an equation, so you have two unknowns and two equations.
 
  • #3
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Can you express the period as function of g and l?
For both pendulum lengths, you get an equation, so you have two unknowns and two equations.
T=2pi(sqrt(l/g) ?
 
  • #4
35,265
11,525
That is right, and it will help you.
 

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