Is My Calculation for a Microwave's Turntable Spin Correct?

AI Thread Summary
The discussion revolves around calculating the period of revolution, tangential velocity, and centripetal force for a microwave's turntable spinning at 3.0 revolutions per minute with a cup of coffee placed 15.0 cm from the center. The calculated period of revolution is 20 seconds, with a tangential velocity of approximately 4.71 m/s and a centripetal force of 0.0785 N directed towards the center. Participants confirm the calculations are correct, with a focus on identifying the source of the centripetal force, which is attributed to the friction between the cup and the turntable. The conversation emphasizes understanding the physics behind the calculations and the role of friction in providing the necessary centripetal force. Overall, the thread highlights the importance of verifying calculations in physics problems.
unique_pavadrin
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Homework Statement


A microwave's turntable spins 3.0 revolutions per minute. It has a 250.0g cup of coffee placed 15.0cm from its centre. Find its period of revolution, its tangential velocity and the centripetal force on the cup.

2. The attempt at a solution
period of revolution \frac{{60}}{3} = 20 seconds
tangential velocity \frac{{2\pi r}}{T} = \frac{{2\left( \pi \right)\left( {15} \right)}}{{20}} = 4.7123\,m\,s^{ - 1}
centripetal force \frac{{mv^2 }}{r} = \frac{{0.25\left( {\frac{{2\left( {15} \right)\left( \pi \right)}}{{20}}} \right)}}{{15}} = 0.0785\,N towards the centre of the circle


I was wondering if somebody could kindly take the time to look over my working and see if it is correct. Thank you greatly for your time and effort.
unique_pavadrin
 
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I didnt check the numbers but the rest looks okay. What is providing the centripetal force here?
 
the centripetal force is provided by the spinning turntable of the microwave if I'm not mistaken.
 
i presumed it is friction that is providing the centripetal force...
 
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