How many revolutions does a washing machine tub make during a spin cycle?

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SUMMARY

The discussion focuses on calculating the total number of revolutions made by a washing machine tub during its spin cycle. The tub accelerates to an angular speed of 5.00 revolutions per second over 8.00 seconds and then decelerates to a stop in 12.0 seconds after the lid is opened. The total revolutions can be determined using the equations of angular motion, specifically φ = φ₀ + ωt + ½αt², where φ represents the total revolutions, ω is the angular velocity, and α is the angular acceleration. Participants emphasized the importance of understanding the area under the time vs. angular velocity graph to find the total revolutions.

PREREQUISITES
  • Understanding of angular motion equations, specifically φ = φ₀ + ωt + ½αt²
  • Basic knowledge of angular velocity and acceleration concepts
  • Familiarity with graphing time vs. angular velocity
  • Ability to interpret physics problems related to rotational dynamics
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  • Study the derivation and application of angular motion equations
  • Learn how to graph and analyze rotational motion data
  • Explore practical examples of angular acceleration in real-world scenarios
  • Investigate the relationship between linear and angular motion
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Students studying physics, particularly those focusing on rotational dynamics, as well as educators looking for practical examples to illustrate angular motion concepts.

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[SOLVED] Washing Machine revolution

Homework Statement



A tub of a washing machine goes into it's spin cycle , starting from rest and gaining angular speed steadily for 8.00s, at which time it is turning at 5.00rev/s. At this point the person doing the laundry opens the lid and a safety switch turns off the machine. The tub smoothly slows to a rest in 12.0s. Through how many revolutions does the tub turn while it is in motion?



Homework Equations





The Attempt at a Solution



I don't even know where to start but

I'm not sure...do they mean revolutions when the tub starts until the person opens the lid and all the way till the machine goes and slows to a stop?

Is this 2 part question which I add the revolutions in the end when the person opens the lid to the beginning when the washing machine starts?
 
Last edited:
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Shoot - another misleading title. I thought the day had come that they would finally rise up and vanquish their oppressors...
 
DaveC426913 said:
Shoot - another misleading title. I thought the day had come that they would finally rise up and vanquish their oppressors...

:smile: until then they shall be tethered to the wall with a water pipe.
 
If you draw a graph of time vs angular velocity, area under the graph gives you the total revolution from start to end.
 
The equation for angular motion is analogous to that for linear motion

x=x_0+vt+\frac{1}{2}at^2

\phi=\phi_0+\omega t+\frac{1}{2}\alpha t^2
 
Bill Foster said:
The equation for angular motion is analogous to that for linear motion

x=x_0+vt+\frac{1}{2}at^2

\phi=\phi_0+\omega t+\frac{1}{2}\alpha t^2

Yes I actually used that to solve this problem but I just didn't post a follow up on it since I think I get it.

Thanks.
 

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