Can anyone help my start this problem?

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The problem involves a grinding wheel with a specified radius and angular speed, focusing on calculating the centripetal acceleration at a certain distance from the center of the wheel. The subject area pertains to rotational motion and centripetal acceleration.

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  • Conceptual clarification, Mathematical reasoning

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  • Participants discuss the formula for centripetal acceleration and the distinction between angular velocity and tangential velocity. There are attempts to apply the formula and questions about the correct values to use in the calculations.

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Some participants have provided guidance on the correct formulas to use, and there is an acknowledgment of the initial misunderstanding regarding the variables involved. The discussion is exploring different interpretations of the problem without reaching a consensus.

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A 0.150-m-radius grinding wheel, starting at rest, develops an angular speed of 12.0 rad/s in a time interval of 4.00 s. What is the centripetal acceleration of a point 0.100 m from the center when the wheel is moving at an angular speed of 12.0 rad/s?
 
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First state the formula for centripetal acceleration. Then look for those quantities in the problem statement.

Give it a try. If you get stuck then post what you have done and where you got stuck. But you must show an attempt at the problem in order to receive help here.
 
Ac= v^2 / r

12^2 / .100 which I got 1440. and the answer is 14.4
 
It is true that centripetal acceleration = v^2/r, where v is the tangential velocity.

However, the 12 you are using is angular velocity. You may convert this [tex]\omega = \frac{v}{r}[/tex] or use the alternative formula: [tex]a_c = \omega^2r[/tex]
 
:blushing: ooh...thanks for the help :smile:
 

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