A spindle in a manufacturing device is observed for two consecutive stages of operation.
Stage I (first 2.0s): Clockwise rotation is defined as positive. During this stage the spindle starts from rest and experiences a constant angular acceleration of +6.0rads−2.
Stage II (next 1.5s): To match a different section of the production line, engineers now redefine counter-clockwise rotation as positive. Beginning immediately after Stage I ends, the spindle is subjected to a constant angular acceleration of +4.0rads−2 according to the new convention.
(a) Using the Stage I sign convention, calculate the spindle’s angular velocity at the end of Stage I.
(b) Still using the Stage I sign convention, determine the angular displacement during Stage I.
(c) Convert your answer from part (a) into the new sign convention used for Stage II. Clearly state the numerical value and the sign.
(d) Using the Stage II sign convention, calculate the spindle’s angular velocity at the end of Stage II.
(e) Using the Stage II sign convention, find the spindle’s angular displacement during Stage II, and indicate whether the physical rotation in Stage II is clockwise or counter-clockwise when viewed from above.