2. (F16-6) For a short period of time, the motor turns gear A with a constant angular acceleration of ?_A = 4.5 rad/s^2, starting from rest. Determine the velocity of the cylinder and the distance it travels in 3 seconds. The cord is wrapped around pulley D which is rigidly attached to gear B. Dimensions: 75 mm (gear A radius), 225 mm (gear B pitch diameter?), 125 mm (pulley D radius)
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To find the angular velocity, we can use the formula: ω = ω0 + αt where ω is the final angular velocity, ω0 is the initial angular velocity (which is 0 in this case since the motor starts from rest), α is the angular acceleration, and t is the time. Plugging in Show more…
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