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             Measurement  of absolute   initial   velocity of V,   distance   method   free          makes   measure-   essentially   suspended   station   spring

         235    velocity  of  V,   at   (z).   acceleration   (T).   fall.


         Gravity   Weight  drop.  The  object   an   0),  to  a   falls  a  Pendulum.  Gravitational  function  of  the  pendulum’s  Jength   of  oscillation   drop   in   to:   that   one   the   on

         of   8.14   accelerates  from   =   (T   1),  as  it   =   (L)  and  period   weight   object   an   according   observations   gravity   object   an   from   exerts
         Measurement   FIGURE   gravily.a)   time   at   (T   time   b)   is  a   the   In  gravity.   for  measured   ms   oscillates   gravity   Relative   (  gravimeter)   of   mass   taken   is  gravimeter   mass   (m)





              Perndulum                    absolute   are   accordiag   to:   dot?   +   Vot      g=2(z—v,t)/?        perzdulum   a   VL/g   2a   pendulum   according  to:      L(4zx°/T’)          absolute  reliable,   consuming.   time   instrument   an   The  8.15a).   the   the   that   (F)   (g):  acceleration   F= mg





              b)                           measure   displacement   =   2   falls   z  distance   object   the       8.14b),   =   T   the   pendulum.   =   g       obtain   and   easily,   with   (L::Fig.   When   force   the

                                           to   and   computed   object   the   of   gravity.   thus:   (Fig.   of   computed   to   expensive   done   spring   constant.   gravitational
                                           ways   is     the   fall   velocity   is   method   of  swing   of  the   is   be   a   of   remains   however,

                             =  V;         basic   velocity   the   gravity   distance   to   time   initial   absolute   gravity   period   length   gravity   necessary   length   another,   local
              Drop           V   saee   Gravity   two   are   8.14a),   absolute   =   z   t  =   Vo =   =   g   absolute   second   the   =   T   _L =   absolute   Gravity   precision   measurements   however,  can   the   spring   the   to   with   the


              Weight         frnenemreld..   Absolute   There   (Fig.   The   where:   The   Using   where:   “   The   Relative   The   those   ments,   measures   from   location   varies



                 T=0         Te
              a)













                                                                                    rela-   object   gravita-   (g).   acceleration   to
                                                                                    and   an   in   a)  Absolute  gravity  is   acceleration   (g,)  compared
                                                                                    absolute   of   Relative  gravity  reflects  the   gravitational   station
                                           +2.67)        —1.64)                     in   acceleration   difference   8.13   truc  gravitational   in   one


                                           =             =                              the   FIGURE   difference   another  (g,).
                                           p   (for   (7Ga/)   p   (for   (77Gal)   (m).   (17Gal)   measured   is   the   b)   (Ag)  at

                 (m).     BC   0.0419ph        anomaly   (m).  datum   h, |       sea   al   point   TC   +   anomaly   cas   be   can   the  actual]   gravity   another.
                 datum       —   Ag,   —   Ag,      (mGal)   (g/cm?)   mGal/m)h |      mGal/m)   anomaly   observation       Agy   =        gravity   (71Gal).   surface   reflects   relative   to


             (Gal)   (Gal)   Jevel   =     (0.112   gravity   sea-level   below   Agne   Earth’s   gravity   while   compared
         Isostasy   gravity   sea   Ag,       correction   density       —         Bouguer   above       (0.0687      gravity   depth       Bouguer   correction   GRAVITY   on   surface,   station

         and   gravity   above   Gravity  Anomaly   Bouguer   reduction   Ag,   elevation   Ag,   +   Bouguer   Terrain:   complete   Absolute   Earth’s   one
         Gravity   observed   theoretical   elevation   =   =   Land   =   Ag,   simple   =   =   Sea   =   I  =   water   h,,  =   Rugged   =   = terrain   OF   acceleration   8.13).   at


             =   =   =            BC   p   On   Ag,   h   b)  At   Ag,,       Ag,,   In   Ags,   TC   (Fig.   toward   acceleration   Gravity   Gravity
             g   g,   h   Bouguer      a)                         c)
         Chapter 8                                                              MEASUREMENT   Gravitational   senses   tive   falls   it   as   tional   G9



         234                                                                                  Absolute    Relative
                                                                                              a)          b)   g
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