If a rivers slope increases so does water speed. And as more water flows through a river speed also increases due to the volume of flow. As for the stream bed shape , friction affects river speed when the water is deep.
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The steeper the slope the faster the river flows.
Yes, because gravity can pull more over a shorter distance. Other factors can come in to play as well, such as bends in the river, and the friction on the ground.
There are three factors that affect stream erosion. These are water velocity, shape, size and depth of channel, and stream capacity to transport eroded materials.
As water in the stream channel flows, it encounters friction; the friction slows the forward movement. The shape,size, and roughness affect the amount of friction. High friction slows the stream significantly.
The shape of the coastline affect tides because of resonance. Resonance changes normal tide occilations. (see in the section of resonance, Hydrographic Volume II, Tide and Tidal Stream)
they have a stream-lined shape
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Faster river velocities are capable of carrying greater amounts of bedload and transporting them farther and faster. The shape of the sediments of the bedload would therefore be exposed to more physical weathering which would progressively round the sediments and also decrease their size.
They erode edges!!
Erosion
Eel
Erosion
Mountains, rivers, and hills