Fig. 2. The precision and accuracy of force measurements. (A) An example of the
measurements of the passive movement of the tether after being pulled and
released. These data were used to measure the coefficients of stiffness and
damping (see Materials and methods). (B) A free-body diagram illustrates the
forces acting on the tether during an experiment. The input force generated by
a swimming larva is resisted by a component of the weight of the tether and
the stiffness (illustrated by the spring) and damping of the pivot
(illustrated by the dashpot). (C,D) Measurements of input force (filled
circles) at 1000 Hz from the deflections of a tether (not shown) calculated
from the simulated changes in force (red lines). (C) The input force measured
from deflection measurements using accurate values for the stiffness and
damping coefficients. (D) The input force measured using a damping coefficient
that is less than the actual value (by 2x10-6 Nms
rad-1). (E,F) The time lag between simulated and measured input
force for varying degrees of error in the damping (E) and stiffness (F)
coefficients. (G,H) The ratio of maximum measured to maximum simulated input
force for varying degrees of error in the damping (G) and stiffness (H)
coefficients.