Scenario: Back in the days of my childhood, we used vinyl records or cassette ta

Question

Scenario: Back in the days of my childhood, we used vinyl records or cassette tapes to jam to our 80s tunes.

a. What is the angular velocity, in radians/sec, of a 33 RPM vinyl record?

b. If the record has a radius of 15 cm, what is the linear velocity at the edge of the record?

c. An ant of mass 1x10^-4 kg happens to be walking near the edge of the record as it spins. What is the magnitude of the centripetal force the ant feels?

d. You decide to stop the record to get the ant off. After hitting the stop button the record decelerates at a constant rate, taking 3 seconds to come to a complete stop. What is the magnitude of the tangential acceleration the ant experiences?

Explanation / Answer

a.

1 rev = 2*pi rad;

1 M = 60 s

33 RPM = 33*2*pi/60 = 3.456 rad/s

b)

v = a^2*R = 3.456^2*0.15 = 1.79 m/s

c.

centripetal force = mv^2/R = 1*10^-4*1.79/0.15 = 0.0012 N

d.

using v = u+at

tangential acceleration = 1.79/3 =0.5967 m/s^2

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