A tiny beetle sits on the outer edge of an old fashioned vinyl rock \'n\' roll r

Question

A tiny beetle sits on the outer edge of an old fashioned vinyl rock 'n' roll record. The record has a radius of R=19.2cm. It is rough: it spins at a rate of f, f=33.3revs/min.

a)In m/s, what is the beetle's linear (tangential) speed (v)?

b)In m/s^2, what is the beetle's centripital acceleration?

c)In m/s^2, what is the beetle's tangential acceleration?

d)Find the minimum coefficient of static friction that the beetle stays stationary relative to the record.

e)In joules, how much work does friction do on the beetle?

Now the record slows to rest. It takes 2 secs to do so...

f)In rads/sec, what was the records angular velocity before it began slowing?

g)In rads/sec^2, what was the records angular accelerationas it slowed?

h)In rads, how much angular displacement does the record cover while slowing?

i)While slowing, what is the beetle's tangential acceleration in m/s^2?

j)While slowing, how much work does friction do on the beetle in joules?

*k)While slowing, find the magnitude of the torque exerted on the record in Nm?

Explanation / Answer

angular frequency of record   = 33.3 revs / min                                                  = 33.3 ( 2 rad / rev ) ( 1 min / 60 s )                                                  = 3.487 rad / sec radius of record   r =   19.2 cm                                 = 0.192 m a) linear speed of beetle's                v = r                    = 0.192 * 3.487                      = 0.669 m/s b) centripetal acceleration               a = v 2 / r                   = ( 0.669 ) 2 / 0.192                   = 2.3347 m/s 2   c) tnagetial acceleation is               a t = r here is qngular acceleration ( / t )          here   or t is not given please post only question per post

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