Prof. Jorgensen in his book, “
The Physics of Golf”, when discussing the various torques acting on the arms and the club, refers to the
centrifugal torque acting on the club during the down stroke.
Dr Steven Nesbit, an expert golf scientist, in his research article, “
A Three Dimensional Kinematic and Kinetic Study of the Golf Swing”, published in the ‘
Journal of Sports and Science & Medicine’, refers to
centrifugal acceleration pulling the club outward and through impact.
Dr Cochran, a reputed scientist, in his study, “
SEARCH FOR THE PERFECT SWING, The Proven Scientific Approach to Fundamentally Improving Your Game”, refers to
centrifugal force pulling and throwing the club outwards, and speeding it up.
I do agree with these eminent scientists that there is a centrifugal force acting in the golf swing. I also do agree that that there is a centrifugal acceleration/torque in the golf swing. However, I don’t agree that there is a centrifugal torque, or centrifugal acceleration acting, during the release phase, speeding up the club head, and responsible for take-over at impact.
As I have mentioned before centrifugal acceleration/torque would require an angle between centrifugal force vector and club shaft, such as shown indeed in Fig1, a faithful reproduction of Fig 2:3, as it appears in “The Search for the perfect Swing”.
As shown in Dr Cochran's study it would indeed produce a large torque and produce effectively a large centrifugal acceleration of the club shaft. But it is basically wrong. It is a rather subtle affair. There is indeed a centrifugal force but it is not acting during the release phase.
The centrifugal force vector should not, as shown in Fig 1, point towards the inner center but towards the second swing center. Then there is effectively no angle and hence no centrifugal torque/acceleration produced during the release phase.
Let’s do the following thought experiment applying mathematics, using a double pendulum model. To isolate the centrifugal force from the various other forces present we will assume the swing to have no active torques, we ignore gravity, and assume some suitable initial angular velocity conditions.
To be more specific. The rods are initially at 90 degs, the connecting revolute joint (hinge) is ‘frozen’, and the ensemble is given a certain angular velocity at t=0 sec. A short period thereafter the hinge is freed. The results of this thought experiment are shown in Figs 2 and 3.
In Fig 2 shows the centripetal force, acting on the clubhead, instead of the centrifugal force, since it has the same line of action as the centrifugal force and it shows more readily the geometric relationship between line of action and the two swing centers. Fig 3 shows the same information for the centrifugal force, as acting on the distal end of the club shaft.
Notice how first the lines of action pass perfectly through the inner swing center whereas as soon as the hinge is freed, there is an immediate shift of the line of action to the second swing center. Therefore during the release phase the centripetal/centrifugal force is aligned along the club shift and can’t produce any significant torque or acceleration.
There is indeed a centrifugal torque present and acting in the down swing; it can indeed be quite large, but it is restricted to the very first part of the down swing when arms and club behave like one solid object.
The centrifugal force once aligned with shaft can’t produce a release torque but it still contributes to some centrifugal shaft stiffening and due to the com offset of the clubhead produces a shaft bending torque.