I believe a wave breaks when its steepness exceeds its height and speed.
Nature
the homonym for wave is waive
A wave's energy moves in a circular pattern and the deeper the water column, the faster the wave travels and the smaller its size e.g. it has low steepness. As it approaches the shore and the water becomes shallow, the bottom of the wave drags on the ocean floor which slows the bottom of the wave down but the top of the wave continues at the same speed. Eventually the top of the wave gets so far ahead of the bottom that it topples over forming a breaker.
A bow wave is produced when the speed of the source exceeds the natural speed of surface waves in the medium (water). This effect is characterised by the disturbance spreading out in a 'V' formation behind the boat.
slope
if the steepness of a slope exceeds the stable angle, mass movements become more likely.
It is breaks
Nature
The energy dissipates, meaning that as the wave breaks, it will eventually convert to heat.The energy dissipates, meaning that as the wave breaks, it will eventually convert to heat.The energy dissipates, meaning that as the wave breaks, it will eventually convert to heat.The energy dissipates, meaning that as the wave breaks, it will eventually convert to heat.
the homonym for wave is waive
That is called a breaker.
five
The measure of the steepness of a line is known as a line's slope.
Its steepness is the absolute value of its slope.
An area cannot have a steepness. It can have different steepnesses depending on which direction you travel in.
A straight horizontal line is a line having no steepness.
The steepness of a line graph is called the "gradient" ------------------------------- or slope.