- #1
Ellinor
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- Homework Statement
- Resolve the velocity of the aircraft P into spherical coordinate components 60 seconds after takeoff and find R dot, θ dot and 𝜙 dot for that instant.
- Relevant Equations
- Hello. I am stuck on a sample problem in my textbook. The sample problem consists of 2 small problems, a and b. More specifically, I do not understand the explanation given in the solution for problem b.
I tried to mark the part that I do not understand with a question mark in the images.
I do not understand why R dot equals 99,2 cos (13,19°) + 30,4 sin(13,19°).
99,2 is the speed of the vr component of v in cylindrical coordinates and 30,4 is the speed of the vz component in cylindrical coordinates, calculated in problem a. How can they calculate the vR component of V in spherical coordinates from that information?
Neither do I understand how they calculate v_theta and v__phi.
I have refered to the image given but it makes me none the wiser. I published my question in engineering since it is an engineering mechanics textbook. Thank you in advance.