Page 15 - Lehrbuch Neigungsmessung deutsch 2018.indd
P. 15

COMPENDIUM INCLINATION MEASUREMENT
                                       WYLER AG, WINTERTHUR / SWITZERLAND

            1.12  EFFECT OF GRAVITATIONAL FORCE AND COMPENSATION WITH
                INCLINATION MEASURING INSTRUMENTS
         The inclination displayed by inclination measuring instruments and
        sensors is based on the gravitation. However, gravitational force is
        not consistent around the globe, varying with latitude and height
        above sea level. Furthermore, variations of the density in the lithos-
        phere cause additional local deviations.
         As an example, the gravity at sea level is
            • 9.78033 m/s  at the equator
                      2
                      2
            • 9.80620 m/s  at 45 degree of latitude
                      2
            • 9.83219 m/s  at the poles
        In the table below the values of gravity for some cities are listed.
        Amsterdam      9.813    Istanbul     9.808    Paris          9.809
        Athens         9.807    Havana       9.788    Rio de Janeiro   9.788
        Auckland       9.799    Helsinki     9.819    Rome           9.803
        Bangkok        9.783    Kuwait       9.793    San Francisco  9.800
        Brussels       9.811    Lisbon       9.801    Singapore      9.781
        Buenos Aires   9.797    London       9.812    Stockholm      9.818
        Calcutta       9.788    Los Angeles  9.796    Sydney         9.797
        Cape Town      9.796    Madrid       9.800    Taipei         9.790
        Chicago        9.803    Manila       9.784    Tokyo          9.798
        Copenhagen     9.815    Mexico City  9.779    Vancouver      9.809
        Nicosia        9.797    New York     9.802    Washington     9.801
        Jakarta        9.781    Oslo         9.819    Wellington     9.803
        Frankfurt      9.810    Ottawa       9.806    Zurich         9.807
         An inclination measuring instrument or sensor will be calibrated at the head office of WYLER AG in Win-
        terthur. The inclinations displayed are exact only in this location. In different locations the displayed value
        must be corrected. If the correction of the local gravity is switched on, the inclination measured will be
        corrected accordingly before the value is displayed.

         The correction is calculated according the following formula:
         whereby
         g    gravity at the location of calibration
          c
            displayed inclination at location of measurement
          m
         g    gravity at the location of measurement
          m
           effective inclination
          eff
        For further information about the effect of gravitational force and compensation with inclination measu-
        ring instruments, see appendix at the end of the compendium.


                                        Page 15
   10   11   12   13   14   15   16   17   18   19   20