Image

Fun With Fundamentals: Problem 263

Nov. 1, 2002
Take a minute, or you’ll run in circles to solve this teaser.

Problem 263: Time warp

The city of Cuckooville blew the budget on an expensive architect for a new town hall building and had to skimp on details such as a tower clock and cupola. Mayor Bargaineer hired local jack-of-all-trades Finagel J. Wurme to handle the finishing work. But, in the same fashion they’d contracted Wurme, the city council ordered a cheap clock kit over the Internet. The bargain box kit came devoid of instruction, but Finagel pieced the clock together with only a few parts to spare. He felt quite proud as he set the finished timekeeper to the correct hour, 6:00. However, the mayor soon noticed a flaw in Finagel’s handiwork: the hour hand and minute hand were attached to the wrong axes. As a result, the minute hand moved twelve times faster than the hour hand. The flustered mayor called Finagel back to the tower. But, in the moment Finagel inspected the clock, it showed the correct time.

If the clock started in the 6 o’clock position, when did it first show the correct time again?

Solution to problem 262 Catapult, October 2002:

Winners circle

Fun problem 261: Rum dumb September, 2002 Total entries: 126 Number correct: 31 (25%) Winner: Tony Marinucci, San Jose, Calif. Tony’s prize: Maple 7: an advanced mathematical problemsolving software widely adopted by universities, colleges, research institutions, and companies around the world. Maple 7 delivers the comprehensive environment and support resources to visualize and explore mathematical concepts, develop application tools, and share mathematical information and documents on the Web. Combined with hundreds of free add-on packages and applications available through The Maple Application Center, Maple 7 constitutes the most powerful and flexible analytical tool for professors, researchers, scientists, engineers, and students.

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

Related article

Fun With Fundamentals: Problem 262

Sponsored Recommendations

The entire spectrum of drive technology

June 5, 2024
Read exciting stories about all aspects of maxon drive technology in our magazine.

MONITORING RELAYS — TYPES AND APPLICATIONS

May 15, 2024
Production equipment is expensive and needs to be protected against input abnormalities such as voltage, current, frequency, and phase to stay online and in operation for the ...

Solenoid Valve Mechanics: Understanding Force Balance Equations

May 13, 2024
When evaluating a solenoid valve for a particular application, it is important to ensure that the valve can both remain in state and transition between its de-energized and fully...

Solenoid Valve Basics: What They Are, What They Do, and How They Work

May 13, 2024
A solenoid valve is an electromechanical device used to control the flow of a liquid or gas. It is comprised of two features: a solenoid and a valve. The solenoid is an electric...

Voice your opinion!

To join the conversation, and become an exclusive member of Machine Design, create an account today!