Calculating Angular Acceleration of a Washer's Tub

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SUMMARY

The discussion focuses on calculating the angular displacement of a washer's tub during its spin-dry cycle, which accelerates from rest to an angular speed of 2.2 revolutions per second in 8.4 seconds and then decelerates to rest in 9.5 seconds. The participants emphasize the use of kinematic equations for angular motion to determine angular acceleration and total revolutions. The key equations involve angular displacement and acceleration, which are analogous to linear motion equations.

PREREQUISITES
  • Understanding of angular kinematics equations
  • Knowledge of angular acceleration concepts
  • Familiarity with the relationship between angular velocity and time
  • Basic principles of rotational motion
NEXT STEPS
  • Study the kinematic equations for angular motion
  • Learn how to calculate angular acceleration using initial and final angular velocities
  • Explore the concept of angular displacement and its calculation
  • Investigate real-world applications of angular motion in mechanical systems
USEFUL FOR

Students in physics, engineers working with rotational systems, and anyone interested in the mechanics of household appliances like washing machines.

smd1991
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1. The tub of a washer goes into its spin-dry cycle, starting from rest and reaching an angular speed of 2.2 revolutions/s in 8.4 seconds. at this point the person doing the laundry opens the lid, and a safety switch turns off the washer, the tub slows to rest in 9.5 seconds.
through how many revolutions does the tub turn? assume constant angular acceleration while it is starting and stopping. answer in units of revolution.




i don't even know where to start really, besides finding the angular acceleration
 
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Do you have the kinematics equations for angular displacement? The process is exactly the same as how you would do it linearly.

1. washing machine starts from rest and goes to a final velocity of 2.2 in 8.4s.
2. washing machine then goes from 2.2 to rest in 9.5s.
3. what is the total distance traveled by washing machine (freaky huh, washing machines that can run out of the house).
 

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