On Fri, 01 Oct 2004 06:26:40 +0900, James Annan
<
[email protected]> wrote (more or less):
>Dave Larrington wrote:
>
>> Moreover, the additional effort required to turn bike and rider through 180
>> degrees has a significant effect; Robert calculates the extra effort
>> required knocks your average speed down from 63 km/h to 56.
>
>I don't believe that. What is the basis for that calculation? It sounds
>to me that some people don't realise that a centripetal acceleration
>does no work, being perpendicular to the direction of motion.
The fact that a force is applied normal to the direction of travel to
achieve a component of travel normal to the previous direction of
travel does not mean there is no work done, surely?
An ice-skater can change from spinning slowly or quickly in place,
without additional motive effort, but that's with constant angular
momentum. But to go from a straight line into a turn, involves enough
energy to cut ice with a steel blade.
In a car, turning a corner causes a significant amount of tyrewall
flex, with energy losses as heat (and if you try too hard, loud
squealing noises)
Thinking about a body on a 2D frictionless surface, (or a hovercraft)
to effect changes in direction (say with a jet or a propellor)
requires substantial effort to be expended, or diverted from the
previous straight line effort, say by turning the propellor to face a
new direction.
So I don't see how the cyclist can do it without effort. Unless he's
on a wall of death. Or off the flat section at the inner track of the
velodrome, and up on the banking.
--
Cheers,
Euan
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