Whoever solves this Physics question is a GENIUS!? - a pendulum clock that works perfectly on earth is taken to the moon
A clock that works very well on the Earth to the Moon.
(a race) How fast or slow here?
(b) If the clock starts at 12:00:00 AM This will read after a day of earth (24.0 h)? Let us assume that the acceleration of free fall on the moon 1.63 m / s 2 ^
Any help would be very grateful!
1 comment:
The period of a pendulum is given by
T = 2 pi * sqrt (L / g). where g is the gravitational acceleration. To compare the periods of the pendulum on the moon and the earth gives the equation:
Gmoon Tearth / Tmoon = sqrt (/ GEarth)
Tmoon = Tearth * sqrt (GEarth / gmoon) = sqrt Tearth (9.8/1.63) = 2.45Tearth.
The clock runs slower, by a factor of 1/2.45. After one day the clock on the moon of the planet is not read 24/2.45 = 9.8 hours = 9.48.
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