An actual teaching experiment in Arbor Scientific's The Level Air Track uses one glider, an air track, two photogates, and a ruler. Turn on the blower and place the glider near the middle. Adjust the feet until it does not drift when released. Put the photogates at least half a track length apart and align them with the glider's flag. Measure the length that interrupts the beams. Give a gentle push, let go, and record each beam-blocking time . The readout is the pair of speeds . The worksheet asks how those speeds compare, which forces remain after the push, and which interaction the air track minimizes.[ref]
The motivating contrast is between a brief push and the subsequent glide. The air cushion reduces contact friction; it does not remove the downward gravitational weight or the upward support force. Similar successive speeds after release are consistent with a small horizontal net external force, rather than with a continuing push. The experiment approximates the zero net external force model over a finite track and observation interval.
To strengthen the documented procedure, use independent measurement calibration: check the flag length and each timer against a known length and time reference; measuring sets the length scale but does not calibrate the timer. Repeat launches in both directions without contact during the timed passage, and check for drift at several track locations. These are additional controls, not reported steps or measured results in the worksheet. A residual inclined plane produces a downhill component of gravitational weight with the same laboratory direction on both runs; friction and drag force oppose the direction of travel. Reversing the launch can therefore help distinguish these effects.
A photogate directly measures a beam-blocking time; is an average speed during that passage, not an exact instantaneous velocity. Assign the direction separately. Equal readings at two gates do not prove zero acceleration everywhere between them: opposing changes could cancel. Measurement uncertainty from timer resolution, an incorrectly measured flag length, residual slope, airflow disturbances, and remaining friction or drag force limit the inference. No measured glider speeds are assumed here.
Photogate 2026-10-14
A photogate detects interruption of a light beam. Timing that interruption and independently measuring the flag length gives its average speed during passage; the direction must be assigned separately.
A modern teaching experiment slows gravity-driven motion enough to resolve it with a photogate. PASCO scientific's Inclined Plane Dynamics Set, ME-6966, Instruction Manual 012-10874A describes “Acceleration Down an Incline” on printed pages 15–16. Its apparatus is a GOcar on a PAStrack with an adjustable incline support, a bracket-mounted photogate, a cart-mounted picket fence, and an interface with recording software. For the interface method, the fence's pattern is aligned to interrupt the beam. Recording starts before release from rest; the cart is caught at the bottom bumper. The procedure specifies three runs per angle, starting at and reducing by , with the release position fixed. The readout is velocity against time; its slope estimates acceleration. Mean accelerations are plotted against , testing the ideal slope . An added-mass comparison is also requested. These are protocol settings, not observed results.[ref]
The cart undergoes rolling without slipping at its wheels, whereas the worked block undergoes contact slip. Even ideal wheel moment of inertia changes the cart prediction. For total cart mass , wheel radii and axial moments of inertia , rigid wheels with fixed axles and no losses give
To derive it, combine translational kinetic energy with wheel rotational kinetic energy , then equate their rate of change to the release of gravitational potential energy . This is the multiwheel counterpart of rolling acceleration with rotational inertia. Neglecting wheel moment of inertia yields ; treating a cart as a solid rolling cylinder would give a different correction.
Useful additional controls are repeated releases without a push, checking the fence alignment and spacing, and checking that the recorded velocity trace is straight over the fitted interval. A gently moving cart on a level track can expose losses or unintended tilt. These checks help distinguish an angle or timing error from neglected wheel moment of inertia, bearing friction, or drag force. The three-run spread measures repeatability but cannot by itself reveal a shared calibration error. The inspected protocol makes the gravity component measurable; it does not measure the sliding block's coefficient of kinetic friction.