Angular acceleration spin-dry cycle

Click For Summary
SUMMARY

The discussion focuses on calculating the angular acceleration of a motor during the spin-dry cycle of a washing machine. The motor decelerates from 95 rad/s to 30 rad/s over an angle of 402 radians. The calculated angular acceleration is definitively 10 rad/s², derived using the formula for angular acceleration and the time taken for the deceleration, which is 6.4 seconds.

PREREQUISITES
  • Understanding of angular motion concepts
  • Familiarity with angular acceleration formulas
  • Basic knowledge of kinematics in rotational systems
  • Ability to perform calculations involving radians and angular velocity
NEXT STEPS
  • Study the derivation of angular acceleration formulas
  • Learn about the relationship between angular displacement and angular velocity
  • Explore practical applications of angular motion in engineering
  • Investigate the effects of friction on angular deceleration
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in the dynamics of rotational motion in mechanical systems.

brncsfns5621
Messages
22
Reaction score
0
Just checking to see fi I did the math right:

During the spin-dry cycle of a wash, the motor slows down from 95 rad/s to 30 rad/s while turning the drum through an angle of 402 radians. What is the magnitude of the angular acceleration of the motor?

= 1/2(Wo + W)t
402 = 1/2(95 + 30)t
402 = 62.5t
6.4 = t

ang. accel. = W - Wo / t - to
= 30 - 95 / 6.4
= 10 rad/s^2
 
Physics news on Phys.org
Looks good to me.
 

Similar threads

Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
1K
Replies
8
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
4
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K