An Analysis of the Lever Escapement | Page 3

capable of producing first rate results.
Our object will be to explain the whys and wherefores of this
escapement, and we will at once begin with the number of teeth in the
escape wheel. It is not obligatory in the lever, as in the verge, to have
an uneven number of teeth in the wheel. While nearly all have 15 teeth,
we might make them of 14 or 16; occasionally we find some in
complicated watches of 12 teeth, and in old English watches, of 30,
which is a clumsy arrangement, and if the pallets embrace only three
teeth in the latter, the pallet center cannot be pitched on a tangent.
Although advisable from a timing standpoint that the teeth in the

escape wheel should divide evenly into the number of beats made per
minute in a watch with seconds hand, it is not, strictly speaking,
necessary that it should do so, as an example will show. We will take
an ordinary watch, beating 300 times per minute; we will fit an escape
wheel of 16 teeth; multiply this by 2, as there is a forward and then a
return motion of the balance and consequently two beats for each tooth,
making 16 × 2 = 32 beats for each revolution of the escape wheel. 300
beats are made per minute; divide this by the beats made on each
revolution, and we have the number of times in which the escape wheel
revolves per minute, namely, 300 ÷ 32 = 9.375. This number then is the
proportion existing for the teeth and pitch diameters of the 4th wheel
and escape pinion. We must now find a suitable number of teeth for
this wheel and pinion. Of available pinions for a watch, the only one
which would answer would be one of 8 leaves, as any other number
would give a fractional number of teeth for the 4th wheel, therefore
9.375 × 8 = 75 teeth in 4th wheel. Now as to the proof: as is well
known, if we multiply the number of teeth contained in 4th and escape
wheels also by 2, for the reason previously given, and divide by the
leaves in the escape pinion, we get the number of beats made per
minute; therefore (75 × 16 × 2)/8 = 300 beats per minute.
Pallets can be made to embrace more than three teeth, but would be
much heavier and therefore the mechanical action would suffer. They
can also be made to embrace fewer teeth, but the necessary side shake
in the pivot holes would prove very detrimental to a total lifting angle
of 10°, which represents the angle of movement in modern watches.
Some of the finest ones only make 8 or 9° of a movement; the smaller
the angle the greater will the effects of defective workmanship be; 10°
is a common-sense angle and gives a safe escapement capable of fine
results. Theoretically, if a timepiece could be produced in which the
balance would vibrate without being connected with an escapement, we
would have reached a step nearer the goal. Practice has shown this to
be the proper theory to work on. Hence, the smaller the pallet and
impulse angles the less will the balance and escapement be connected.
The chronometer is still more highly detached than the lever.
The pallet embracing three teeth is sound and practical, and when

applied to a 15 tooth wheel, this arrangement offers certain geometrical
and mechanical advantages in its construction, which we will notice in
due time. 15 teeth divide evenly into 360° leaving an interval of 24°
from tooth to tooth, which is also the angle at which the locking faces
of the teeth are inclined from the center, which fact will be found
convenient when we come to cut our wheel.
From locking to locking on the pallet scaping over three teeth, the
angle is 60°, which is equal to 2½ spaces of the wheel. Fig. 1 illustrates
the lockings, spanning this arc. If the pallets embraced 4 teeth, the
angle would be 84°; or in case of a 16 tooth wheel scaping over three
teeth, the angle would be 360 × 2.5/16 = 56¼°.
[Illustration: Fig. 1.]
Pallets may be divided into two kinds, namely: equidistant and circular.
The equidistant pallet is so-called because the lockings are an equal
distance from the center; sometimes it is also called the tangential
escapement, on account of the unlocking taking place on the
intersection of tangent AC with EB, and FB with AD, the tangents,
which is the valuable feature of this form of escapement.
[Illustration: Fig. 2.]
AC and AD, Fig. 2, are tangents to the primitive circle GH. ABE and
ABF are angles of 30° each, together therefore forming the angle FBE
of 60°. The locking circle MN