- #1
courtrigrad
- 1,236
- 2
Hello all
I was given a problem involving cranks and pistons. I do not understand the exact question, but it involved an oblique triangle where you had to apply the Law of cosines. Let's say you are given [tex] \theta = \frac{\pi}{4}, x=7, c = 11 [/tex] where [tex] c [/tex] where c is the hypotenuse and [tex] \frac{dx}{dt} = 200 [/tex]. Find the rate of change of the piston.
So here it is:
[tex] c^2 = a^2 + b^2 - 2ab\cos C [/tex]
[tex] a^2 = b^2 + c^2 - 2bc\cos A [/tex]
[tex] b^2 = a^2 + c^2 - 2ac\cos B [/tex]
Ok so how would I solve for the change of the piston? Would I just find the derivative of the first Law of Cosine expression and substitute in the values?
I was given a problem involving cranks and pistons. I do not understand the exact question, but it involved an oblique triangle where you had to apply the Law of cosines. Let's say you are given [tex] \theta = \frac{\pi}{4}, x=7, c = 11 [/tex] where [tex] c [/tex] where c is the hypotenuse and [tex] \frac{dx}{dt} = 200 [/tex]. Find the rate of change of the piston.
So here it is:
[tex] c^2 = a^2 + b^2 - 2ab\cos C [/tex]
[tex] a^2 = b^2 + c^2 - 2bc\cos A [/tex]
[tex] b^2 = a^2 + c^2 - 2ac\cos B [/tex]
Ok so how would I solve for the change of the piston? Would I just find the derivative of the first Law of Cosine expression and substitute in the values?