### Problem 260: Extended play

More than fashionably late to the Spring sock hop, Jimmy runs up to his buddy Bobby Ray, who’s playing DJ.

“Bobby Ray! The new Twistphonics album — I got the last copy at the five and dime!”

“Coo-ool! Let’s give it a spin,” Bobby says. When the record starts playing, Jimmy winces and says, “Boy, that player sure does sound scratchy. You should get a new needle. Sounds like this one’s about to go.”

“No way! That needle could play down a record groove 100 miles long and still not break,” Bobby shouts over the Twistphonics’ latest bubble gum melody.

Given a 12-in., 33 1/3 rpm record with a 1/64 in. wide groove running from the outside edge to 2 in. from the center, what is the minimum number of times Bobby Ray would have to play one side of the record to back up his claim?

### Winners circle

Fun problem 258: Pandora’s present June, 2002
Total entries: 18
Number correct: 4 (22%)
Winner: Dan Jones, Glenville, N.Y.
Dan’s prize: The Fluke 179 multimeter is designed for demanding industrial environments with a CAT IV rating, 6,000 count resolution, 0.09% accuracy, and the ability to measure min/max/average, true-rms, ac voltage, current, and temperature.

Get your creative juices flowing and send us your original problems and solutions.

### Related article

Fun With Fundamentals: Problem 259