00:01
In this problem, you're considering the motion of the drill on a cnc machine.
00:08
And the first step is to pick out the important information from the problem based off of the questions being asked, because a lot of information is given in the problem that can kind of throw you off from what's being asked for.
00:23
So we want to know first the least number of cuts to drill 5 millimeters below the bottom.
00:44
And then we also want to know what is the total distance that's traveled by the drill in doing this.
00:56
So then when rereading the problem, information that sticks out to me is that the steel is 75 millimeters thick.
01:12
Which means that if we're going to drill 5 millimeters below, we need to drill a total of 80 millimeters.
01:24
We're also told that the drill starts 20 millimeters above the steel, which is important if we're trying to find the total distance because it's going to travel that 20 millimeters every time it goes down and every time it goes back up.
01:48
And then lastly, it tells us that every cup, the drill can go down an additional 5 millimeters.
02:03
So if we're thinking about the least number of cuts to drill a total of 80 millimeters when every cut is 5 millimeters, for that we can just divide 80 millimeters by 5 millimeters to see how many times you have to do 5 millimeters to get to 80 millimeters and the answer is 16.
02:25
So the least number of cuts that would need to be made is 16.
02:30
To find the total distance is a little bit of a trickier problem...