Instantaneous Speed Application Problem

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Homework Help Overview

The problem involves determining the instantaneous speed of a laser point that revolves around the walls of a rectangular room. The context includes measuring the speed based on the room's dimensions and the rotation speed of the laser.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss defining variables relevant to the problem, such as the distance "x" on the wall. There is an emphasis on the need for precise definitions of quantities involved.

Discussion Status

The discussion is ongoing, with participants actively questioning the definitions and measurements necessary to progress. Some guidance has been offered regarding the need for clarity in variable representation.

Contextual Notes

There is an indication that the measurements and definitions of variables are not fully established, which may affect the ability to formulate a solution.

jjayla12
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Homework Statement



My teacher put us into groups and we each selected a wall of the rectangular room. He attached some sort of machine to the wall that spins in a circle with a laser on it, creating a laser point revolving around the walls. Our task is to create a function for the instantaneous speed of the laser point at any point x on our wall.

2. The attempt at a solution
1. We found the dimensions of the room. The red dot indicates where the laser is at. We have the left wall.
calc.png

2. We found the RPM by counting how many times the laser hit one spot on the wall over a interval of 1 minute.
RPM = 36
3. Converted to radians per second 6pi/5

Now we don't know what to do from here.
 
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How about defining some variables to represent the relevant quantities in your problem? For instance, you referred to "x". What is x?
 
X would be any distance on our wall from 0 to 26.75.
 
Measured from where? You need to precisely define the quantities here. We can't read your mind. Are there any other variables?
 

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