The spool of tape shown and its frame assembly are pulled upward at a speed VA-1

Question

The spool of tape shown and its frame assembly are pulled upward at a speed VA-140 mm/s. The end B of the tape is pulled downward with a velocity of 300 mm/s and that at the instant shown, the total thickness of the tape on the spool is 20 mm. 80 mm VB References eBook & Resources Section Break Determine the velocity of point D of the spool. (Round the final answer to the nearest whole number.) The velocity of point D of the spool is mm/s t nformation Determine the instantaneous center of rotation of the spool. (Round the final answer to two decimal places.) (You must provide an answer before moving to the next part.) The instantaneous center of rotation of the spool is mm to the right of the axle.

Explanation / Answer

Va = 140 mm/s

w = 300 mm/s

x = 140 / 300 = 0.467

The instantaneous center of rotation of the spool is

CB = 80+20-0.467 = 99.5 mm

The velocity of point D of the spool is

CD = 80+0.467 = 80.467 mm

Vd = (CD)*w

= 80.476*300

Vd = 24140 mm/s

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