A conveyor belt and a weighing system for weighing articles conveyed on a conveyor belt. The conveyor belt includes an array of force-sensing elements embedded in the belt to measure forces normal to the belt's conveying surface. The force-sensing elements form parts of passive resonant circuits that each include a capacitor and an inductive coil. Either the capacitor or the inductive coil can be a force-sensitive element. Measuring circuits external to the belt include an oscillator having a coil that inductively couples to the resonant circuit in the belt as it passes closely by. A force applied to the belt at a force-sensitive element changes the resonant frequency of its resonant circuit, which also causes a change in the oscillator frequency. Frequency detectors in the measuring circuits measure that frequency change and convert it into a proportional force value used to compute the weights of conveyed articles on the fly.