Physics: strange vector hw problem

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Homework Help Overview

The problem involves calculating the displacement vector of the tip of a minute hand on a watch over a specified time interval, specifically from 8:00 to 8:20 AM. The context is within the subject area of kinematics, focusing on vector representation and component breakdown.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to express the displacement vector in terms of its x and y components, questioning how to derive these from the circular motion of the minute hand. There is an emphasis on understanding the angle made by the minute hand at the final time.

Discussion Status

Some participants have offered guidance on breaking down the displacement vector into components and visualizing the movement of the minute hand. There is an ongoing exploration of the angle and its significance in determining the components of the vector.

Contextual Notes

Participants note the challenge posed by the circular motion of the minute hand and the requirement to express the answer in a specific format, which may not be directly addressed in the provided materials.

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The minute hand on a watch is 2.0cm in length. What is the displacement vector of the tip of the minute hand?

from 8-8:20 am.

Express vector DeltaR in the form DeltaR_x, DeltaR_y, where the x and y components are separated by a comma.

I thought i had it with the answer of 3.4 cm, but they want it in x and y components :confused: its a circle! My book has nothing for me and I am significantly lost.
 
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The displacement vector points from the starting location to the final location, it is a straight line. It's just an arrow pointing from start to finish, break this vector into components.
 
Draw the displacement vector from the tip of the minute hand at 8:00 to the tip of the minute hand at 8:20.
 
Actually it might be simplest to do this in components. The "components" of the minute hand at 8:00 are easy. What angle does the minute hand make with the horizontal at 8:20? (Hint: the minute hand move 360 degrees in an your and 5 minutes is 5/60= 1/12 of an hour. How many degrees does the minute hand move in 5 minutes? Why is "5 minutes" important here?)
 

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