Rotating Record Frequency Calculation

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Homework Help Overview

The problem involves calculating the frequency at which bumps on a vinyl record hit a stylus as the record rotates. The record's rotation speed is given in revolutions per minute, and the spacing of the bumps is specified in millimeters. The context is rooted in rotational motion and its effects on sound production from vinyl records.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the speed of the stylus as it moves over the record and how to relate that speed to the frequency of bumps hitting the stylus. There are questions about how to begin solving the problem and what calculations are necessary.

Discussion Status

Some participants have expressed confusion about how to approach the problem, while others have suggested considering the speed of the stylus and the spacing of the bumps as a starting point. There is an indication that some progress has been made, but no consensus has been reached on a complete solution.

Contextual Notes

Participants have noted a lack of clarity on how to initiate the calculations and have shared external resources that may assist in understanding the concepts involved.

marnold1987
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A vinyl record is played by rotating the record so that an approximately circular groove in the vinyl slides under a stylus. Bumps in the groove run into the stylus, causing it to oscillate. The equipment converts those oscillations to electrical signals and then to sound. Suppose that a record turns at the rate of 33 rev/min, the groove being played is at a radius of 12.0 cm, and the bumps in the groove are uniformly separated by 0.161 mm. At what rate (hits per second) do the bumps hit the stylus?

I am totally lost on this problem...please help me.
 
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marnold1987 said:
A vinyl record is played by rotating the record so that an approximately circular groove in the vinyl slides under a stylus. Bumps in the groove run into the stylus, causing it to oscillate. The equipment converts those oscillations to electrical signals and then to sound. Suppose that a record turns at the rate of 33 rev/min, the groove being played is at a radius of 12.0 cm, and the bumps in the groove are uniformly separated by 0.161 mm. At what rate (hits per second) do the bumps hit the stylus?

I am totally lost on this problem...please help me.

Welcome to PF.

How fast is the stylus moving over the vinyl?

If the bumps are registered at .161mm then how fast are they encountered at this speed?
 
I don't know where to even start on this
 
3.49 rad/s I think
 
oh thanks I finally figured it out with that help
 
marnold1987 said:
oh thanks I finally figured it out with that help

No problem then.

Cheers.
 

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