Using a Smart‐pulley Atwood machine to study rocket motion

The Atwood machine consisted of a funnel partly filled with water on one side and a fixed mass of 400 g on the other side. The ‘‘rocket’’ begins to ascend when the acceleration is momentarily zero. This occurs when the total mass of the rocket is slightly larger than 400 g due to the rocket’s thrust. As the wheel of Pasco’s Smart pulley rotates, signals are sent to the Apple computer and the software generates tables and graphs of position, speed, and acceleration as a function of time. Also presented is a numerical differentiation scheme that greatly reduces the scatter in the experimental data for the acceleration. The data are compared with theory, assuming that dm/dt is constant. The value of dm/dt necessary to fit the data is compared with that found by measuring the flow rate from the funnel directly. Excellent agreement is obtained for the two values of dm/dt.