Method for measuring torque in rotating-equipment, turbo-machinery, pumps, turbines, and compressors. The measured torque can be used as an input to control torque, power, or energy efficiency. The method can also measure force (or torque) in traversing-machinery or vehicles such as automobiles, ships, aircraft, bicycles and motorcycles. The method takes real-time rotating (or linear) speed measurements, applies the discrete form of equations of motion, captures the natural decay curve(s) of the machine to estimate the torque (or force) associated with the losses of the power sink, and then solves for the driving torque of the power source. The method relates to monitoring and control systems used to safely and efficiently operate rotating-equipment and traversing-machinery. The method can be used to determine a health index of a machine to make predictive and corrective maintenance, reliability, performance, safety, and efficiency-related decisions. It is accurate, robust, lightweight, space-saving, and low cost.