(Solved): Problem 2: Due to the screw at E, the actuator provides linear motion to the arm at F when the mot ...

Problem 2: Due to the screw at $$E$$, the actuator provides linear motion to the arm at $$F$$ when the motor turns the gear at $$A$$. If the gears have the radii listed in the figure, and the screw at $$E$$ has a pitch $$p=2\mathrm{mm}$$, determine the speed at $$F$$ when the motor turns $$A$$ at $${?}_A=20\mathrm{rad}/\mathrm{s}$$. Hint: The screw pitch indicates the amount of advance of the screw for each full revolution.