00:01
This problem, we're looking at a planet xyz travels about the star abc in an orbit that is almost circular.
00:09
Assume that the orbit is a circle with radius 92 ,000, 92 with 6 zeros miles here.
00:18
So you can see it's 92 -000 -000 -000 miles.
00:21
Assume there are 24 hours in one day on planet x, y, z.
00:27
There are three questions that are asked here.
00:30
Look at them one by one the first question is assume that x y z is a planet year which is 320 days and find the angle formed by the planet in one day now what is important to realize is regardless of the you know the degrees the the radius that is given here we understand that there are 322 days in a year which means in one day obviously that is consisting of 24 hours as well which is given in the problem in a circle the angle in a circle is always 360 degrees which would mean it's clearly saying in the problem that the orbit is circular in motion therefore angle in a circle will always be equal to 360 degrees that is in degrees so i'm writing it like this now what is also important to sort of realize is that the requested information in this question is the angle formed in radiance okay so we are going to do it in radiance so for a full for a full 322 days what would happen is the planet would actually if it starts at this point let's say day one day zero and then what would happen is it is going to come to a full revolution and complete the circle in 322 days therefore in one day so it takes 360 degrees essentially so 360 degrees would be for corresponding to 322 days okay so for one day we're looking at this information looking at this information for one day we're trying to find out the value of x which is in degrees or we can say that is theta in degrees.
02:50
Okay, so we're looking at the value of theta, which is given in the problem right here.
02:57
Theta is for a day.
02:58
Therefore, what you do is you divide, so with this information, you would actually divide 360 degrees, divided by 322 days to get the value of theta in theta for one day.
03:21
So that would be equal to 1 .1180 degrees.
03:31
So that's in degrees.
03:33
So this is the theta value, the value of theta for a day, for one day.
03:45
Now, the equivalent radian is requiring a conversion, which would mean we have this conversion that says if you want to convert degrees to radiance, you would say degrees multiplied by pi by 60 pi by 180 sorry pi by 180 degrees will be equal to radiance so that's the conversion now in this case we have we have 1 .1180 degrees that needs to be multiplied by pi divided by 180 degrees that needs to get the answer in radiance, that would be equal to 0 .01 .01951 radian...