Therefore
| W (K + 2240 G) + ·1575 V2 |
| = the useful tractive force, and |
| R + 112000 G - ·0975 V2 |
| = the tractive force wasted by the use of the locomotive. |
Therefore
F={R + 112000 G-·0975 V2} + {W (K + 2240 G) +·1575 V2}
and the useful load
| W | (F- R - 112000 G - ·06 V2) |
| K + 2240 G. |
The values which Mr. Gooch’s experiments give for the two selected speeds are as follows[74]:—
| Miles per Hour | R (lbs.) | K (lbs. per ton) | F (lbs.) |
| 40 | 1500 | 12·5 | 5200 |
| 60 | 2100 | 18·6 | 4900 |
Using these values, the results in the following table are obtained, being the conditions appropriate to the two speeds at successive ascending gradients:—
| Miles per Hour | Ascending Gradient | Useful Load in tons | Super- fluous Load in tons | Gross Load in tons | Useful Horse-power | Waste Horse-power | Gross Horse-power | Ratio of Waste to Useful Horse-power |
| 40-{ | 0 | 288 | 50 | 338 | 411 | 144 | 555 | ·35 |
| 1/200 | 128 | 50 | 178 | 352 | 203 | 555 | ·58 | |
| 1/100 | 71 | 50 | 121 | 292 | 263 | 555 | ·90 | |
| 1/75 | 50 | 50 | 100 | 252 | 303 | 555 | 1·20 | |
| 1/50 | 23·8 | 50 | 73·8 | 173 | 382 | 555 | 2·21 | |
| 1/40 | 11·7 | 50 | 61·7 | 113 | 442 | 555 | 3·91 | |
| 1/36·3 | 7 | 50 | 57 | 82 | 473 | 555 | 5·77 | |
| 60-{ | 0 | 139 | 50 | 189 | 504 | 280 | 784 | ·56 |
| 1/200 | 68 | 50 | 118 | 415 | 369 | 784 | ·89 | |
| 1/100 | 35·7 | 50 | 85·7 | 325 | 459 | 784 | 1·41 | |
| 1/75 | 22·5 | 50 | 72·5 | 265 | 519 | 784 | 1·96 | |
| 1/52·3 | 7 | 50 | 57 | 160 | 624 | 784 | 3·90 |