PaulS wrote:Not quite sure what "assumptions" are being made in the calculation of watts on the C2 or RP, other than that the usual physical laws apply.
I guess assumptions such as that the moment of inertia of the flywheel/fan assembly is constant and accurately known for each machine, that the method used to measure the time intervals by the sensor system introduces no significant error, the fact that error introduced by basing calculations of angular acceleration/decleration on averages over varying time intervals and applying digital methods to the subsequent calculations rather than being able to continuously measure instantaneous values and apply true differential and integral calculus methods to the calculation is insignificant, that the contribution to the actual moment of inertia made by dirt, dust, grease etc collecting on the flywheel assemby is insignificant, that temperature, pressure, humidity and other local environmental considerations play an insignificant part in modifyng the effective moment of inertia, that the "clock" frequency used in the electronics in the PM is sufficiently stable and accurate so as not to contribute significant error into the measurements being taken ... I'm sure if I could be bothered thinking about them there would be heaps more.
Sorry for the intellectual wanking here ... I resolved I wasn't gonna lower myself to the general tone of some of the posters on this forum ... it must be contagious
WRT your comment about sports not using power-measuring instruments on which to judge performance: Yes - this is an example of evidence of the point I was making about familiarity. Many (most?) sports are heavily reliant on instrumentation to measure quantities - time, distance, weight force for example. Apart from any inaccuracy inherent in the instrument itself, or inaccuracy introduced by the way in which the instrument is used, each of them relies on principles which may or may not be regarded as fundamental laws of physics. For example many scales used to measure weight rely on Hooke's law of extension which, at best, is a simple approximation based on the observed behaviour of SOME materials under CERTAIN conditions, but cannot be regarded as a fundamental law of physics. We also make assumptions about measurements performed without the help of instrumentation too: For example if we time someone running a circuit of a 400m track ... sure we make assumptions about the accuracy of the stop-watch, but also about the accuracy with which the track was laid out. This may have been done with a simple tape measure and a few sticks placed strategically in the ground! Why should we assume that a power-measuring instrument such as that on the C2 should be less relied on than these other instuments? I suggest the answer is that it is too much trouble for the average person to make the effort to research/analyse the relative accuracies of these various instruments and so they appeal to their instincts. Stop watches, tape measures and scales are familiar instruments, power-measuring instruments are not. We may then be tempted to make the unproven assumption that the power-measuring instrument is to be less trusted.