- #1

ShayanJ

Gold Member

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## Main Question or Discussion Point

In some texts the author tries to interpret operations like Curl.

Some say the curl of a vector field shows the amount of rotation of the vector field

But some of them say,if you put a wheel in a fluid velocity field which is like the vector field at hand,if it can rotate the wheel,then it has non-zero curl.

For example the field [itex] \vec{F}=z \hat{y} [/itex] does not rotate by itself but if it shows a fluid velocity field,it can rotate wheels inside it and it has non-zero curl

But I'm just uneasy with the idea

maybe seeing more vector fields like this,ones which do not seem to rotate but have non-zero curl,make me better But I can't find more of such fields

Do you know one?

Thanks

Some say the curl of a vector field shows the amount of rotation of the vector field

But some of them say,if you put a wheel in a fluid velocity field which is like the vector field at hand,if it can rotate the wheel,then it has non-zero curl.

For example the field [itex] \vec{F}=z \hat{y} [/itex] does not rotate by itself but if it shows a fluid velocity field,it can rotate wheels inside it and it has non-zero curl

But I'm just uneasy with the idea

maybe seeing more vector fields like this,ones which do not seem to rotate but have non-zero curl,make me better But I can't find more of such fields

Do you know one?

Thanks