What Is the Rotational Acceleration in a Revolving Door?

AI Thread Summary
The discussion focuses on calculating the rotational acceleration of a revolving door that initially spins once every 4 seconds and increases to once every second due to a push. The user attempts to find the acceleration using the formula for angular displacement and speed, arriving at an initial calculation of 22.5 rev/s. They also suggest considering rotational analogs to simplify the calculations. The conversation emphasizes the importance of understanding the relationship between angular velocity and acceleration in this context. Ultimately, the goal is to accurately determine the rotational acceleration resulting from the user's push.
tymartin
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Homework Statement



Suppose a revolving door at the bank is spinning around once every 4 seconds. As you walk through, you push on the door for 3 seconds, which increases the rotational speed so that it rotates once a second. What wat the rotational acceleration due to your push?

Homework Equations



This is what I have so far...

The Attempt at a Solution



Acceleration-90/4=22.5

Displacement-360/3=120

22.5 + 120= 140.5 rev/s
 
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