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From the Rolls-Royce experimental archive: a quarter of a million communications from Rolls-Royce, 1906 to 1960's. Documents from the Sir Henry Royce Memorial Foundation (SHRMF).
The basis and development for a dis-proportional speed scale on a magnetic eddy current type speedometer.

Identifier  ExFiles\Box 59\2\  Scan120
Date  23th March 1931
  
23.3.31.

A.T. MAGNETIC EDDY CURRENT TYPE SPEEDOMETER.

Basis for and development of
suitable law of dis-proportionality of speed scale.

Each instrument comprises within itself
two portions, namely the mile counting and speed
indicating portions.

Considering an instrument incorporating
the speed indicating portion only, it will be shown
that there is some argument for artificially dis-
proportioning the speed scale according to a certain
law developed below. Considering, however, the
actual instrument, functioning as it does in both
of the ways mentioned above, it will be further shown
that there is still more argument for effecting such
a dis-proportionality of speed scale; in accordance
with a similar law.

All instruments so far used by us have been
produced with a proportional speed scale. The eddy
current torque of a moving magnetic flux on a conducting
plate or cup is, on fundamental principles, precisely
proportional to speed, other things, including temperature,
remaining the same. Since also the angular deflection
of a torque spring controlled pointer is proportional
to the acting torque, therefore it will be seen that
the angular deflection of the pointer in these instruments
will, at constant temperature, be quite exactly
proportional to the speed of their drive.
fore
Supposing there, the setting of the instrument
is correct in relation to its counter mile indications
at any one speed, it is then also correct in this
internal relation at all speeds. If in error internally
the percentage error of speed to miles is identical
at all speeds. Temperature constant.

Such internal relation remains correct except
as regards :-

(a) The effect of temperature change by which the
speed indications are increased approximately
2% by a fall of temperature from 30° to 18°C. this effect
resulting from the decrease with falling temperature
of the electrical resistance of the metal cup.
  
  


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