Is 'Velocity of Transport' a Recognized Term in English Mechanics Literature?

[wrobel]

Here are two fragments from Banach's monograph in Mechanics

I have never seen the term <<velocity of transport>> in English texts. Actually I have never seen this term being named somehow in English. This term has a name in Russian books. I looked through the original Banach's text in Polish and there is a Polish name for this term. It is a little bit surprising that the Polish name differs from the Russian one and also differs from this English translation.

My question is: Is there a standard English name for this velocity?

Spoiler: funny thing

In Russian textbooks $v_e$ denotes the velocity of transport. Nobody knows what the subscript means.

 

[anuttarasammyak]

I do not think so. In the text, "(absolute) velocity of the moving frame" is better.

 

[wrobel]

I do not think so

I was hoping that the name existed. :(

"(absolute) velocity of the moving frame" is better.

The moving frame can for example rotate and its different points can have different velocities. That is why a correct name of this velocity must refer to the point A.

 

[Ibix]

So it's basically the "extra" velocity something like a car's wing mirror has if you subtract the car's COM's velocity? I don't know any standard term for that, no. Can't claim to have made a thorough survey of the literature, though.

 

[Filip Larsen]

The closest term I can think off is advection, e.g. advective flow, where particles are being considered transported due to bulk (average) motion of the medium they are in. But advection starts with a (just like absolute) so less useful for that equation.

What is wrong with calling it transport? It sounds like a perfect good term to me. Are you aware of conflicting terms in use by other authors?

 

[anuttarasammyak]

The moving frame can for example rotate and its different points can have different velocities.

I see. “The moving inertial frame against the original IFR” would eliminate those cases.

 

[Lnewqban]

Isn't the relative velocity equal to zero in this case in which "point A is attached rigidly to the moving frame" respect to which its coordinates do not change?
If that is correct, the velocity of transport should be equal to the absolute velocity of point A in the descibed scenario.

 

[wrobel]

Consider an example. Let a slider $A$ move along a horizontal beam. There is an inextensible string attached to the slider. The string is threaded through the ring $O$ and the end of the string is pulled with constant velocity $\boldsymbol u,\quad |\boldsymbol u|=u$. Find a velocity of the slider as a function of the angle $\alpha$.

Solution. Introduce a frame $Oxy$. This frame rotates about the point $O$. Thus a velocity of transport of the point $A$ is
$\boldsymbol v_t=w \boldsymbol e_y.$
The velocity of $A$ relative $Oxy$ is
$\boldsymbol v_r=-u\boldsymbol e_x.$
The velocity of $A$ relative the lab frame is
$\boldsymbol v=-v\cos\alpha \boldsymbol e_x+v\sin\alpha \boldsymbol e_y.$
Equation (I) gives
$$v=\frac{u}{\cos\alpha}.$$

 

[martinbn]

What are the Polish and Russian names for it?

 

[wrobel]

What are the Polish and Russian names for it?

prędkość unoszenia
переносная скорость

 

[martinbn]

prędkość unoszenia
переносная скорость

I see, but the Russian word перенос means transport, doesn't it?

 

[wrobel]

I see, but the Russian word перенос means transport,

yes