If the clock runs slow and loses 21 s per day, how should you adjust the length

Question

If the clock runs slow and loses 21s per day, how should you adjust the length of the pendulum?
Enter positive value in case of increasing its length, otherwise enter negative value. Express your answer to two significant figures and include the appropriate units. If the clock runs slow and loses 21s per day, how should you adjust the length of the pendulum?
Enter positive value in case of increasing its length, otherwise enter negative value. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

you know looses 21s minute per day


in a day there is 24*60*60 = 86400 secs/day
T = 2*pi * root(L/g)
= 2.00005277 sec

the error ratio is 21/86400 =2.43 * 10^-4

Terror = 2.00005277 * 2.43* 10^-4
.........= 4.8601* 10^-4 sec
subtract that from the period

Tcorrect = Torig - Terror =

T = 2*pi * root(L/g)
solve for L
T/(2*pi) = root(L/g)
T^2/(2*pi)^2 = L/g
L = g*T^2/(2*pi)^2
put the values in and you have.

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