Tangential force - Vector analisys

Hello all,

I have a pipe of 16" diameter. A lug on the pipe and distance from center of the pipe to lug is r=12. A link (l=12") is attached on the pipe lug and attached on to an actuator positioned at distance d=12" from the center of the pipe. Actuator is rotating the pipe, 60 degree in up position and -70 degree in down position. I need to calculate the tangential force, force that makes the pipe to rotate. I need to do that so I come up with a scenario when the forces are balanced in up position and down position.
In the files attached is how I am trying to do it.
I calculate the force in up position (F1) (please see attachments) but I got stuck in vector multiplication.

C
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
Attached Thumbnails

Attached Files
 Tangential Force 1.pdf (82.5 KB, 12 views)

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