Distance between a Clock's hands when the distance is increasing most rapidly

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Homework Help Overview

The discussion revolves around a problem involving the distance between the tips of a clock's minute and hour hands, specifically when this distance is increasing most rapidly. The minute hand has a length of 4, and the hour hand has a length of 3. Participants are exploring the implications of assuming constant angular velocities for the hands and questioning the validity of this assumption.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the assumption of constant angular velocities and its implications for the problem. Some question whether this assumption is valid and explore alternative perspectives on the movement of the clock hands. Others suggest considering the relative velocities of the tips and the angles between the hands.

Discussion Status

The discussion is active, with various interpretations being explored. Some participants have offered insights into the nature of the problem, while others have raised questions about the assumptions made in the original question. There is a recognition of differing viewpoints regarding the approach to solving the problem.

Contextual Notes

Participants note that the problem may involve civilian (12-hour) clocks rather than military (24-hour) clocks, although they agree this distinction may not significantly affect the solution. There is also mention of potential confusion between velocity and distance in the context of the problem.

  • #31
haruspex said:
You are being chased by a bear. You can run at the same speed in any direction. Which way do you run?
The a priori knowledge comes from millions of years of evolution.
In the direction of any fat guy you can outrun , who will keep the bear busy for a while.
 

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