Run Time Source Scan

Run Time Source Scan

the third run-tumble-drift factor

Every earlier run-tumble-drift lesson fixed run time at two seconds and scanned tumble time or run length; this scan holds those fixed and scans run time itself. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Every earlier drift row held run time fixed at two

Every earlier run-tumble-drift lesson in this book kept run time at 2 s and only ever varied tumble time or run length. Here the run ledger still gives 24 m over 8 cycles and tumble time stays 1 s, but run time itself drops to 1 s, giving total time 16 s and drift 3/2 m/s.

24/16=3224/16=\frac{3}{2}
Run tumble drift ledgerBiased runs plus run/tumble timing determine drift speed.drift speed8/16 s

Run time itself is a source factor, not just tumble time

Tumble time and the run ledger never change across these rows. Run time alone rescales total time and, through it, the checked drift speed.

24/24=124/24=1
Run tumble drift ledgerBiased runs plus run/tumble timing determine drift speed.drift speed16/24 s

A longer run time lowers drift by stretching total time

At run time 3 s, the same run ledger and tumble time give total time 32 s and drift 3/4 m/s. Three rows separate run time from the tumble-time and run-length factors already scanned elsewhere in this book.

24/32=3424/32=\frac{3}{4}
Run tumble drift ledgerBiased runs plus run/tumble timing determine drift speed.drift speed24/32 s