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Catalog 0802-E                                      Vacuum Cups
            Cup Selection                                       Technical Information

            Selecting the proper vacuum cup                     Lifting forces
                                                                  When calculating lifting forces, safety factors of 2 for
             !  CAUTION:                                          horizontal lifts and 4 for vertical lifts are minimum values.
     A         Selecting the type of vacuum cup, material, and size   Applications with irregular shapes, difficult surfaces, and
               suitable for an application is important to the overall
                                                                  backward motions will require increased safety factors.
               vacuum system. Calculating the forces involved for each
               application is recommended to determine the vacuum
               cup size. It should be noted that these calculations are
               basic theoretical guidelines and each application must
               be tested for actual results. With all vacuum applications,
               certain practical assumptions concerning cup materials,
               environmental conditions, and product characteristics to
       Technical
               name a few, may not be consistent with the performance.   FH: Horizontal Lift  FV: Vertical Lift
               Again, the user should determine the efficiency,   Horizontal lifting force
               performance, and safety factor of the cup selection.
      Flat
                                                                 Apply Newtons Law to calculate the force on a 10kg mass
       PFG
                                                                 with a change in acceleration of 3m/sec  and a safety factor
                                                                                                2
                                                                 of 2.
            Calculating pad diameter and forces
                                                                 FH(N) = mass(kg) x (a g+ a) x SH
       PBG
      Bellows
            Mass                                                  FH(N) = 10kg x (9.81m/sec  +3m/sec ) x 2
                                                                                              2
                                                                                      2
              The term mass is a quantity of matter and its ability to resist   FH = 256.2 N
              motion when acted on by an external force. The magnitude
              of an object is represented as a certain number of kilograms               3m/sec 2
      Flat
              (kg) and is symbolized as “m”. The easiest way to determine
       P5V-CFS
              the mass of an object is to measure the weight with a scale
              within the earth’s gravitational field
              (ag = 9.81m/sec ). Likewise, outside of any gravitational field,         10kg
                         2
      Bellows
              a mass could potentially be weightless.                                    FH
       PJG Short
                                                                Vertical lifting force
            Forces                                                Apply Newtons Law to calculate the force on a 10kg mass
              For vacuum applications, force is a vector quantity in a   with a dry surface, a change in acceleration of 3m/sec  and
                                                                                                           2
       PCG
    Bellows
      Multiple
              defined direction either horizontal or vertical. The standard   a safety factor of 4.
              international unit of force is measured in Newtons (N) which   FV(N) = mass(kg) x (a g+ a) x Sv
              is the equivalent of (kgm/sec ). The force can be calculated
                                    2
                                                                                      2
                                                                                              2
              by measuring the effect of a change in acceleration on a   FV(N) = 10kg x (9.81m/sec  +3m/sec ) x 4
       PUGB
              mass.                                               FV = 512.4 N
      Flat Swivel
                                            2
            Newtons Law: F(N) = mass(kg) x ag(m/sec )
                                                                                        3m/sec 2
              Consider an object with a mass of 10kg. The gravitational
       Cup
      Fittings
              force on this object would be:
              F(N) = 10kg x 9.81m/sec  = 98.1 N                                      10kg
                                 2
            Acceleration
              Acceleration is the change in velocity of a moving object.              FV
              Acceleration is a vector, a directional quantity expressed in
              units of meters per second squared (m/sec ) and symbolized   Combined vertical lift and horizontal motion
                                               2
              as “a”. To explain the magnitude of acceleration consider an   Calculate the force on a 10kg mass with a dry surface, a
              object with a change in velocity of 2 meters per second (m/  change in acceleration of 3m/sec , and a change in travel
                                                                                           2
              sec) over a 4 second time frame. The acceleration can be   acceleration of 2m/sec .
                                                                                   2
              calculated with:
                                                                            2
              a =    velocity   a = 6m/sec   a = 3m/sec 2         FM(N)  =  FV  + FH 2
                   time              2 sec                        FM(N)  =  [(10kg x 2m/sec ) x 4]  + [10kg x (9.81m/sec  + 3m/sec ) x 2] 2
                                                                                                     2
                                                                                       2
                                                                                    2
                                                                                                            2
              This is considered an average acceleration.         FM(N)  =  (80kgm/sec )  + [256kgm/sec ]
                                                                                                 2 2
                                                                                   2 2
                                                                                     2
            Coefficient of friction                               FM(N)  =  6400kgm/sec  + 65,536kgm/sec 2
              Certain values for coefficient of friction should be taken   FM   =  268.2 N
              into consideration when calculating the combined forces in
              motion. Actual values between suction cups and surfaces                   3m/sec 2
              are difficult to determine. Therefore, coefficient of friction
              values from published charts, should be used as a reference                  2m/sec 2
              to adjust the safety factors accordingly.
                                                                                      10kg
                                                                                        FH
                                                             A4                         Parker Hannifin Corporation
                                                                                        Pneumatic Division
                                                                                        Richland, Michigan
                                                                                        www.parker.com/pneumatics
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