00:02
Hello.
00:02
So here the equation of the helices will have the form a cosine of t, comma a sine of t, comma b, t, where a and b are constants to be determined, since the radius of the helix, we can say that a is going to be determined by the radius of the helix.
00:23
So then in one period, the z coordinate rises by 2 pi times b.
00:28
It's given the helix rises, about 34 times a degrees.
00:34
So from this, we then get 2 pi b is equal to 34 times a degrees, giving us that b is then, well, 34 divided by 2 pi, which is 17 over pi times 10 to the negative eighth.
00:49
So we get then that a cosine of t, a sine of t, bt, is then going to be equal to 10 cosine of t, 10.
01:01
Sine of t comma 17 pi over t so here we get then that the other helix is going to be opposite the first one so it's x and y coordinates are going to be opposite so therefore the other helix is going to be well the same helix here but then we have um negative 10 cosine of t and negative 10 sine of t comma 17 pi over t okay but then um we get the lengths of the helices are the same so it's going to be sufficient here to compute the lanes of just one helix.
01:35
So then we can use the arc lanes formula...