Elements of Natural Philosophy, Volume 1 |
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Page 6
23. The rate of motion of a point , or its rate of change of position , is called its
Velocity . It is greater or less as the space passed over in a given time is greater
or less : and it may be uniform , i.e. the same at every instant ; or it may be
variable .
23. The rate of motion of a point , or its rate of change of position , is called its
Velocity . It is greater or less as the space passed over in a given time is greater
or less : and it may be uniform , i.e. the same at every instant ; or it may be
variable .
Page 7
... the definition of the average velocity , § 26 ) is more and more nearly true , as
the velocity is more nearly uniform during the interval t ; so that if we take the
interval small enough the equation may be made as nearly exact as we choose .
... the definition of the average velocity , § 26 ) is more and more nearly true , as
the velocity is more nearly uniform during the interval t ; so that if we take the
interval small enough the equation may be made as nearly exact as we choose .
Page 8
... may of course be either uniform or variable . It is said to be uniform when the
point receives equal increments of velocity in equal times , and is then measured
by the actual increase of velocity per 8 PRELIMINARY .
... may of course be either uniform or variable . It is said to be uniform when the
point receives equal increments of velocity in equal times , and is then measured
by the actual increase of velocity per 8 PRELIMINARY .
Page 9
Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to
determine the direction of acceleration , we must draw , as below , from a fixed
point 0 , lines OP , OQ , etc. , a D V or representing the velocity at A ,
KINEMATICS .
Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to
determine the direction of acceleration , we must draw , as below , from a fixed
point 0 , lines OP , OQ , etc. , a D V or representing the velocity at A ,
KINEMATICS .
Page 10
In other words , if a point move in a curve , whether with a uniform or a varying
velocity , its change of direction is to be regarded as constituting an acceleration
towards the centre of curvature , equal in amount to the square of the velocity ...
In other words , if a point move in a curve , whether with a uniform or a varying
velocity , its change of direction is to be regarded as constituting an acceleration
towards the centre of curvature , equal in amount to the square of the velocity ...
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Common terms and phrases
acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium evidently expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain remarkable respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire
Bibliographic information
| Title | Elements of Natural Philosophy, Volume 1 Volume 23 of A library of universal literature. Part one - Science [vol.23] Clarendon Press series Elements of Natural Philosophy, Peter Guthrie Tait Nineteenth Century Collections Online (NCCO): Science, Technology, and Medicine: 1780-1925 |
| Authors | William Thomson Baron Kelvin, Peter Guthrie Tait |
| Publisher | Clarendon Press, 1873 |
| Original from | the New York Public Library |
| Digitized | 24 May 2011 |
| Length | 279 pages |
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