I already looked at the online solution for thisproblem and it did not give me t

Question

I already looked at the online solution for thisproblem and it did not give me the right answer so please do notgive me that solution. Please help! It would be greatlyappreciated! Thanks An aluminum clock pendulum having a period of2.00 s keeps perfect time at20.0°C. (a) When placed in a room at a temperature of-5°C, will it gain time or losetime?
It will gain time. It willlose time. (b) How much time will it gain or lose every hour?Hint: See chapter 10.
______ s I already looked at the online solution for thisproblem and it did not give me the right answer so please do notgive me that solution. Please help! It would be greatlyappreciated! Thanks An aluminum clock pendulum having a period of2.00 s keeps perfect time at20.0°C. (a) When placed in a room at a temperature of-5°C, will it gain time or losetime?
It will gain time. It willlose time. (b) How much time will it gain or lose every hour?Hint: See chapter 10.
______ s (b) How much time will it gain or lose every hour?Hint: See chapter 10.
______ s

Explanation / Answer

(b)
   the period of the pendulum To = 2 (Lo / g)
   so at 20oC and - 5oC itwill be
   T = 2 (L / g)
   the ratio of these periods will be
   To / T = (Lo /L)
   the equation for the length is given by
   L = Lo + alLo (T)
   Lo / L = 1 / [1 +al (T)]
   so then solve for To / T

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