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Letter: Crookes's rotation

Published 3 November 2004

From Francis Fahy

In his article on Crookes’s radiometer, Marcus Chown mentions the observation by Arthur Schuster that if the instrument’s bulb is suspended by a single fine thread it rotates in the opposite direction to the vanes, but he offers no explanation of the phenomenon (21 August, p 48).

As Chown indicates, the light itself does not transfer momentum to the vanes. So if the vanes are subject to a torque caused solely by the gas, then the gas must acquire an equal and opposite momentum in order to conserve the angular momentum of the vane-gas system. There must therefore be contra-rotation of the mass of gas.

If we now extend our system to include the bulb, its contra-rotation would seem to indicate that the movement of the gas applies a torque to the bulb, presumably via wall shear stress at the surface of the bulb associated with a boundary layer. Any frictional torque on the bulb induced by vane rotation would tend to induce the bulb to rotate in the same direction as the vane.

Stockbridge, Hampshire, UK

Issue no. 2472 published 6 November 2004

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