Thursday, November 29, 2012

PON numerical


PROBLEM   No  25
IF  THE  DISTANCE  BETWEEN  THE  CENTRES  OF  THE  EARTH AND THE MOON  IS  30  TIMES  THE  DIAMETER  OF  THE  EARTH.  CALCULATE  THE  MOON’S  H.P.

IF DIAMETER  IS  2X
RADIUS  IS   X

DISTANCE BETWEEN  CENTRES  60X

SIN  H.P.                    =            X  
                                                60X

H.P.                             =          57.3’                ANS



PROBLEM   No  26
ASSUMING THE EARTH’S RADIUS TO BE 6373 KMS AND THE HORIZONTAL PARALLAX OF MOON TO BE 58.0’.  CALCULATE THE DISTANCE OF THE MOON  FROM  THE  EARTH



SIN  H.P.                    =          AB
                                                AC

SINE  0˚  58’              =          6373
                                                  AC

AC                              =          6373
                                                SIN 0˚ 58’

AC                              =          377755KMS   ANS












PROBLEM  No  34
ASSUMING  THE V OF THE MOON TO BE A CONSTANT 11’,  CALCULTE  THE LENGTH  OF A LUNAR  DAY.


LUNAR  DAY:
TWO SUCCESSIVE  TRANSITS OF  MOON  OVER  THE  SAME  MERIDIAN

GHA  MOON  1HR               14˚  19.0’
CONSTANT V CORRN              11.0’
TOTAL  C. GHA 1 HR          14˚  30.0’

1  HR  ----------------------         14˚  30.0’
1 LUNAR  DAY  ---------       360˚

LUNAR  DAY                       =          360
                                                            14˚  30’

LUNAR  DAY                       =          24H     49M     39S      ANS


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