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, and the screw at E has pitch p, determine the speed at F when the motor turns A with angular velocity ω_A.

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Given: rev = 2π rad P = 2 mm rev A = 20 rad S TA = 10 mm rB = 50 mm rc = 15 mm rD = 60 mm