(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A turntable rotates at 78 rev/min

A particle on the turntable is located 0.14 m from the center of the rotating turntable

The particle on the turntable has a mass of 16 g.

Calculate the force of friction which keeps it from sliding off

2. Relevant equations

[tex]f_s = m(v^2/r)[/tex]

[tex]a_c = r\omega^2[/tex]

[tex]F=ma[/tex]

3. The attempt at a solution

I don't really understand this one. What is the force that would be pushing the particle of the turntable in the first place? Would it be the angular velocity or the tangential velocity? What is the difference between the two?

I calculated the angular velocity to be:

[tex](\frac{78rev}{min})(\frac{1 min}{60s}) * 2\Pi rad = \frac {8.17 rad}{s}[/tex]

And calculated the speed of the particle to be:

[tex].14m * \alpha = 1.1438 m/s[/tex]

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# Particle sliding off turntable - find friction

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