Changing the form of this table, we find that,—
| For the first | ||
| 10 | turns the average value of D′ is | 38.155 |
| 20 | turns | 38.153 |
| 30 | turns | 38.152 |
| 40 | turns | 38.151 |
| 50 | turns | 38.149 |
| 60 | turns | 38.148 |
| 70 | turns | 38.146 |
| 80 | turns | 38.144 |
| 90 | turns | 38.142 |
| 100 | turns | 38.140 |
| 110 | turns | 38.138 |
| 120 | turns | 38.135 |
| 130 | turns | 38.132 |
| 140 | turns | 38.130 |
On comparing the scale with the standard meter, the temperature being 16°.5 C., 140 divisions were found to = 139.462mm. This multiplied by (1 + .0000188 × 16.5) = 139.505mm.
One hundred and forty divisions were found to be equal to 140.022 turns of the screw, whence 140 turns of the screw = 139.483mm, or 1 turn of the screw = 0.996305mm.
This is the average value of one turn in 140.
But the average value of D, for 140 turns is, from the preceding table, 38.130.
Therefore, the true value of D, is 38.130 × .996305mm, and the average value of one turn for 10, 20, 30, etc., turns, is found by dividing 38.130 × .996305 by the values of D;, given in the table.
This gives the value of a turn—
| mm. | |||
|---|---|---|---|
| For the first | 10 | turns | 0.99570 |
| 20 | turns | 0.99570 | |
| 30 | turns | 0.99573 | |
| 40 | turns | 0.99577 | |
| 50 | turns | 0.99580 | |
| 60 | turns | 0.99583 | |
| 70 | turns | 0.99589 | |
| 80 | turns | 0.99596 | |
| 90 | turns | 0.99601 | |
| 100 | turns | 0.99606 | |
| 110 | turns | 0.99612 | |
| 120 | turns | 0.99618 | |
| 130 | turns | 0.99625 | |
| 140 | turns | 0.99630 |
Note.—The micrometer has been sent to Professor Mayer, of Hoboken, to test the screw again, and to find its value. The steel tape has been sent to Professor Rogers, of Cambridge, to find its length again. (See page 145.)