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On the Moon, the acceleration of gravity is one sixth of it's value here on earth. If a pendulum has a period of T on here on earth Earth, what will its period be on the Moon?

 

A.T/

B.T

C.T/6

D.T/3

E.6T

 Jul 22, 2016
 #1
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You question doesn't make sense to me for the answers given. Because the period of a pendulum should vary as the square root of the gravity ratio between the Earth and the Moon. That is, if the gravity on Earth is 6 times that on the Moon, then the period on the Moon should be:

Tsqrt(6) =2.46T. But, I don't see that on your list of choices!!. Sorry, unless I'm neglecting something.

Alan should take a look at it.

 Jul 22, 2016
 #2
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Hi Damien!

 

On the Moon, the acceleration of gravity is one sixth of it's value here on earth. If a pendulum has a period of T on here on earth Earth, what will its period be on the Moon?

 

A.T/

B.T

C.T/6

D.T/3

E.6T

 

\(T= 2\pi \times \sqrt{\frac{l}{g} }\) 

\(T_{M} = 2\pi \times \sqrt{\frac{6\times l}{g} }\)

 

TM = T \(\times \sqrt{6} \) = 2.45 T

 

A. T = TM / \(\sqrt{6}\)

 

The time for one oscillation of the pendulum on the moon is 2.45 times the time of a vibration on the earth.

 

 

Greeting asinus :- )

laugh   !

 Jul 22, 2016

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