Explanation:
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Consider the cross section to the right with an overall height h 4.2 inch, bottom flange plate width b1-2.5 inch, top flange pla
te width b2-2.0 inch, and the web and both flange plates have a thickness of t-0.25 inch. The center of coordinate system is located at the centroid of the cross-section area. a) Find the y distance of centroid for the cross section to the bottom edge in inch. b) Find the Sx section modulus in inch3. c) The section is rotated counter-clockwise 20 degrees about its centroid. Find the rotated l moment of inertia in inch4. d) Find the rotated Iky product of inertia in inch4.
1 answer:
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Given:
initial angular speed, = 21.5 rad/s
final angular speed, = 28.0 rad/s
time, t = 3.50 s
Solution:
Angular acceleration can be defined as the time rate of change of angular velocity and is given by:
Now, putting the given values in the above formula:
Therefore, angular acceleration is: