You have an engine you wish to model using an ideal otto cycle. the engine has 1.5 l displacement (vd = vmax − vmin) and compression ratio of 10.5: 1. at a low load you know 0.55 kj of energy is added to the engine, and the in-cylinder pressure and temperature are 50 kpa and 320 k at the start of the compression stroke. using the air-standard assumptions with variable specific heats and r=0.287, what are the peak cycle temperature and pressure? what is the cycle efficiency, and what would the efficiency of a carnot cycle operating between the same temperature limits be? what is the mean effective pressure (mep) at this operating condition?

answer; ///(74) degrees is your answer..

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.