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santosh05 (279)

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if d earth were to complt a day in 1 hr,,,den wat wud be d wt of man as registrd on a weighin machine???????
    
akhil_o (2699)

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On the equator,
the weight recorded would be minimum
this is due to centrifugal force provided by rotation of earth

F=centrifugal force

F=mw2r
w=2pi/(1 hour)
=2 pi/(3600 sec)
a=w2r=(3*10-6)6400000
a=w2r=19.49 m/s2since this is greater than g, the man would be thrown off and feel weightless

" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
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santosh05 (279)

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bt u hav to find a general formula fr dat,,,,,,,,its nt askin abt d equator........
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akhil_o (2699)

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If he is at a latitude of
A degrees,
then centrifugal force opposing gravity=mw2(rcosA)cosA=mw2rcos2A
since radius becomes rcosA and horizontal component=acosA

so his weight as general expression would be

m(g-
w2rcos2A)
value is
m(9.8-19.5cos2A)


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computer001 (1814)

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akhil..very nice answer..gr8 work

Nitwit Blubber Odment Tweak
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santosh05 (279)

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can u show d diagram????????
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akhil_o (2699)

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click and zoom


" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
- Bill Gates
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santosh05 (279)

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wats a hre??  
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akhil_o (2699)

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sorry?
hre??
which part is it in?

" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
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akhil_o (2699)

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sorry
a is centrifugal acceleration!

" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
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edison (4394)

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Q) if the earth were to complete a day in 1 hr then wat wud be the weight of man as registrd on a weighing machine?
 
Sol) Effect of rotation of earth on weight mg of an object is given by
 
Efective weight = W' = m(g-w2rcos2A)
 
where W = mg = weight in the absence of rotation
 
w = angular speed of the earth
 
A = Latitude of earth at the point where object is kept
A = 0 deg, at equator (thus effect od rotationis maximum on equator)
= 90 deg, at poles, (thus effect is nil at the poles)
 
Now if earth completes its rotation in 1hr, then itsangular speed is increased by 24 times,
 
thus w' = 24w
 
So the weight mg of the man will be
 
W'' = m(g-  576w2rcos2A)
 
Thus W'' = m(g-w2rcos2A) - 575mw2rcos2A
or W'' = W' - 575mw2rcos2A
 
Thus teh weight of man is reduced by a  575w2rcos2A on weighing machine
 
 


The most incomprehensible thing about the world is that it is

at all comprehensible.
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