A very long rod of 5 mm diameter and uniform thermal conductivity k = 25 W/m·K is subjected to a heat treatment process. The center, 30-mm-long portion of the rod within the induction heating coil experiences uniform volumetric heat generation of 7.5 x 106 W/m3 . The unheated portions of the rod, which protrude from the heating coil on either side, experience convection with the ambient air at T? = 20?C and h = 10 W/m2 ·K. Assume that there is no convection from the surface of the rod within the coil. a. Calculate the steady-state temperature To (?C) of the rod at the midpoint of the heated portion in the coil. b. Calculate the temperature of the rod Tb (?C) at the edge of the heated portion.

not too sure thinking it will always be directed towards the centre of the earth. could be wrong not sure

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.