Learn How to Read Graphs: Angular Speed & Tangential Speed

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Homework Help Overview

The discussion revolves around interpreting a graph related to the motion of a spinning wheel, specifically focusing on angular speed and tangential speed. Participants are examining the relationships between the graphical representation of position, velocity, and acceleration of a point on the wheel's projection.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to identify which curve on the graph represents velocity and are questioning how to determine angular and tangential speeds based on the graph's features. There is also discussion about the radius of the wheel and its implications for calculations.

Discussion Status

The discussion is ongoing, with participants providing hints and engaging in clarifying questions. Some guidance has been offered regarding the interpretation of the graph and the calculations involved, but there is no explicit consensus on the values for angular and tangential speeds yet.

Contextual Notes

Participants are navigating assumptions about the graph's representation, including the radius of the wheel and the interpretation of the x-axis projection. There is confusion regarding the dimensions represented in the graph, particularly the relationship between diameter and radius.

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Homework Statement



graph.jpg


The black curve represents the position of a spot on the x-axis projection of a spinning wheel.

a) Which curve represents the velocity of that spot? blue
b) What is the angular speed of the wheel?
c) What is the tangential speed of the wheel, assuming the full radius of the wheel is represented in this projection.
d) Does the x-projection have an angular acceleration at any time on the graph? Explain.

The Attempt at a Solution



I have no idea how to read this graph. The only thing I can guess is that a) would be the blue line? Please help!
 
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welcome to pf!

hi scruffles! welcome to pf! :smile:
scruffles said:
a) Which curve represents the velocity of that spot? blue
b) What is the angular speed of the wheel?
c) What is the tangential speed of the wheel, assuming the full radius of the wheel is represented in this projection.
d) Does the x-projection have an angular acceleration at any time on the graph? Explain.

(a) correct
(b) hint: how long does it take to go round 360° ?
(c) hint: how far does it go when it goes round 360° ?
(d) sorry, i don't understand the question :redface:
 
Thanks for your reply!

So for b) would the angular speed would be .4s?
c) would it be 0? since it goes from -8 to 8 ?
 
b) yes :smile:

c) no (how much tape would you have to wind round the wheel?)
 
would i use C=2pir?
c= 2(3.14)(5) = 31.4 cm?
 
scruffles said:
would i use C=2pir?
c= 2(3.14)(5) = 31.4 cm?

why 5 ? :confused:
 
because the diameter of the wheel is 10? so half of it would be the radius of 5?
 
but the graph shows x going from -10 to 10, so half of that would be 10 ?
 
you're right, my mistake. :redface: Thanks for your help!
 

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