YAMT

[AbsoluteParadigm]

Hey guys. I need some math help. I need to find the coeffcient of a Sin function that when added over time will equal 30 ft. What I mean is I need to find x of x*Sin(1.8t) such that the object will travel 30ft in 100 secs. I tried integrating the function and using the limits 0 to 100 but I got 27 as my coefficient. I tried it on a program and the total distance traveled is NOT 30 ft. I think the coefficient is more in the 0.5 range. If you guys figure it out, please tell me how you did it.

Edit: Correction

 

[Heisenberg]

I think you need to integrate using the RMS value of the function. Do you want the displacement from zero or the distance traveled?

 

[AbsoluteParadigm]

I need the distance traveled.

 

[Heisenberg]

What exactly does the sine function represent? Velocity or displacement?

 

[DrPizza]

I'm not sure I understand your question at all? Is the object travelling on the path of the sin curve? In other words, do you want the length of the curve from t=0 to t=100 to be 30?
If that's the case, then you'll need to use the length of a curve formula integration, and set it equal to 30 to solve for x.

edit: so it would be 30 = integral from 0 to 100 of [sqrt( 1 + derivative of your function squared)]dt