A car travels a total of 2,000 m and 1140° around a circular path, starting from 0° . What is the radius of the circular path? BONUS:How far (in degrees) from 0° does the car end up?

Hey, guys. So let's check this one out. So here we have a car traveling a total of 2,000 meters. So that's a delta x of 2,000 meters, and 11 40 degrees. So that's delta theta 11 40 degrees around a circular path starting from 0. So the car starts here and then it starts going, in that direction. And I want to know what is the radius of the circular path. So what's the radius of the circular path? So the car is at a distance r because it's at the edge of a circle. So r is the same as the radius and I want to know what is that r. Okay? There's an equation that links these 2 and r together, delta x equals r delta theta and we're solving for r. R equals therefore delta x over delta theta and all I got to do is plug in the numbers but be careful, 2,000 meters and 1140 degrees isn't going to work. I can't plug in degrees into this equation, otherwise, I get an answer that doesn't make any sense. I get the wrong answer. I have to plug in radians. So let's convert real quick. 1140 and degrees. I'm gonna put 3 60 degrees or it could have been 180, and then this is, 2 pi. Alright. So if you do 360, you gotta do 2 pi radians. So let's write rad here. Okay. The degrees cancel and then you're left with radians, which is what we want. And the amount of radians here is 19.9 radians. So I'm going to go ahead and plug this in here. 2,000 meters divided by 19.9 radians. Okay. And the answer is 100.5 meters. Again, a little weird here. A meter combined with a radian gives you a meter because a radian is a meter over meter. So you can think of it as just the 2 meters cancel and you end up with this meter over here. That's one way to do it. The other way to do it is just look at the unit. You're solving for r. So the unit has to be, if the variables r, the unit has to be in meters. Okay? So that's it for that piece. Hopefully, you got that right. Hopefully, also try the bonus question. So how far, do you end up from 0 degrees? Okay. So the way to do this is you're going to get your total displacement, a 100, 1140 and subtract multiple times from 360. So this minus 360 gives you 780. We still got to do it one more time. Minus 360 gives you, 420. So we still got to do one more time because we're not below 360 yet. And then this gives you 60 degrees. So the idea is that you end up, at 60 degrees. So you started here, did a bunch of laps. Actually did, 1, 2, 3 laps, and then you ended up at 6 degrees, so you ended up somewhere over here. Okay? A bunch of laps later. Cool. That's it for this one. Hopefully, it makes sense. If you guys have any questions, let me know.

Physics with Algebra 때문에 힘들어하고 계신가요?

A car travels a total of 2,000 m and 1140° around a circular path, starting from 0° . What is the radius of the circular path? BONUS:How far (in degrees) from 0° does the car end up?

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A car travels a total of 2,000 m and 1140° around a circular path, starting from 0° . What is the radius of the circular path?
BONUS:How far (in degrees) from 0° does the car end up?