Dr Corby did a demo in class with a solid metal disk spinning counterclockwise.

Question

Dr Corby did a demo in class with a solid metal disk spinning counterclockwise. For this problem, the disk has a radius of 10 cm and a mass of 6kg. Say she accelerates the disk until it is spinning at a rate of 3 rotations per second. Friction then slows the disk to rest over 40 seconds. Need help with questions A-F please.

3. Dr Corvy did a camon clasa soluid ta Fors probun, ke disk spmnig ulok cm and mass(okg. disk has a(odus lo Say sla accelerates due dish unh}, is spinning at anke disk to rust ovre40 seconds Clhat argilar aeeala achon des ha dist have as Ts slouwiny to rost 2 d Whot the momanedtma a disk e. te the dish has a radius %,Dem, how much to(and is noededl to slous A dvon t tu's rade richin is aching on heel bohuich hos a rad.us0. 5 cm, what, th4 foru-c fictor

Explanation / Answer

(A) w = 3 rev/s = 3 x 2pi rad/s

w = 18.8 rad/s

(B) v = w r = 1.88 m/s

(c) wf = w0 + alpha t

0 = 18.8 - 40 alpha

alpha = 0.47 rad/s^2

(D) I = m r^2 /2 = 6 x 0.10^2 / 2 = 0.03 kg m^2

(e) torque = I alpha = 0.0141 N m

(f) torque = r f

0.0141 = (0.005) f

f = 2.82 N

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