Friday

April 18, 2014

April 18, 2014

Posted by **Pauline** on Thursday, August 2, 2007 at 8:24am.

a particular moth flies at 50 degrees to the light source,L, and it measures its bearing 10 times in one revolution.

Hint:one revolution is 360 degrees. 10 times makes the angle R1 L R0 equal to 360/10 (R1 here means the distance between L and the starting point of the moth. R2 is the distance between L and the first time the moth measures its bearing.)

1.)what happens if the number of times the moth measures its bearing increases to a very big number??

2)what does the limiting value appear to be?

3) what will the flight path be for x-->infinitive?

i drew a diagram for question 1 and figured out that as the number of times the moth measures its bearing increases to a very big number, the circle will get smaller and the moth will fly to the light sooner.but i can't figure out a formula for this...

i do not get question number 2.

question 3 is very similar to question number 2 right?? but i am still a little bit confused.=(

i have also worked out a formula for R1 in terms of R0:

R1=R0 times sin50/sin94)

so R(n) for all path is:

(let the angle the moth flies to the light source be A, and let times measured in one rev be B)

R(n)=sinA/sin{(360/B) +A}

i could try out question 1 and 3 by changing the value of B in that formula, but i don't know how to make a formula for question 1 and 3 by doing so...

I am really sorry if this looked very messy...but i will be so happy if some one can help me!thanks!! =)

- Maths -
**Molly**, Wednesday, March 5, 2014 at 7:20amya u do this by eating some moths, there ya go

**Related Questions**

DrBob222 - Moth crystals. Those round moth balls are not foam, they are ...

physics - A 75 W light source consumes 75 W of electric power. Typically only ...

physics - a very bright source of red light has much more energy than a dim ...

Math - A fly starts out 2 meters from a light bulb, flies closer to the light ...

Physics - When you approach a blinking source of light, the frequency of its ...

Math - The illumination of an object by a light source is directly proportional ...

Physics - A 75 W light source consumes 75 W of electric power. Typically only ...

Math - The illumination produced by a light source is inversely proportional to ...

physics - A small light source located 1 m in front of a 1 m^2 opening ...

College Algebra - The illumination produced by a light source is inversely ...