Waves and ripples in water, air, and æther : $b Being a course of Christmas lectures delivered at the Royal Institution of Great BritainFleming, J. A. (John Ambrose), Sir
Science
Waves and ripples in water, air, and æther : $b Being a course of Christmas lectures delivered at the Royal Institution of Great Britain
Fleming, J. A. (John Ambrose), Sir
Electric waves; Sound; Waves
Now consider the ship originally at B (see Fig. 36), and let us suppose
the ship to make a small jerk forward. This operation is like plunging
a stone into the water, and it starts a wave-system. But if the ship
moves forward with a uniform speed, by the time the ship has reached
the point A, the end of the wave-group will have reached a point C,
such that C is halfway between B and A. The movement of the ship,
however, originates a group of waves, and the velocity of a wave on
water is dependent upon its wave-length, as already explained, so
that the greater the wave-length the greater the velocity. Hence the
conditions that determine the form of the wave-system round the ship
are: (1) that the head of the procession goes forward with the speed of
the ship; (2) that there is an end or limit to the transverse system
of waves behind, which moves forward with half the speed of the ship;
(3) the inclination of the wave at any point to the direction of motion
of the ship must be such that its velocity, in its own direction, is
consistent with the wave-length at that place. These general conditions
determine the form of the wave-group as shown in Fig. 37; but the
detailed predetermination of the exact form of the oblique and rear
wave cannot be made without the employment of mathematical reasoning of
a somewhat advanced character.
For the purposes of the general reader it will be sufficient to note
that this procession of ever-extending waves, which lengthens backwards
behind a ship, requires energy to produce it. This energy must be
supplied from the ship, and the wave-production constitutes therefore a
cause of resistance to motion which is felt and has to be overcome in
keeping the speed of the ship constant.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account