Solving for Revolutions: Electric-Generator Turbine

AI Thread Summary
To determine the total number of revolutions made by an electric-generator turbine that spins at 3600 rpm and takes 16 minutes to stop, one must account for angular acceleration, which is not zero during the deceleration. The initial calculation of 57,600 revolutions is incorrect because it assumes constant speed without considering the slowing down effect. To find the correct number of revolutions, the angular acceleration must be identified and used in relevant equations. The discussion emphasizes the importance of incorporating angular deceleration into the calculations for accurate results. Understanding these dynamics is crucial for solving the problem correctly.
rjimenez
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Homework Statement



An electric-generator turbine spins at 3600rpm . Friction is so small that it takes the turbine 16.0 min to coast to a stop.How many revolutions does it make while stopping?


Homework Equations





The Attempt at a Solution


(3600rev/min)(16.0min)=57600 i tried this and know the answer is wrong
 
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You have to remember that in order for the turbine to come to a stop, it has to be slowing down. In other words, the turbine must have some angular acceleration in order to slow down to a stop. The fact that the angular acceleration is not zero makes the formula you used invalid. Do you know what the angular acceleration is? If you do, what relationships involving the angular acceleration can you use to find the total amount of revolutions after 16 minutes?
 
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