How Does Angular Velocity Relate to Centripetal Acceleration?

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Homework Help Overview

The original poster is exploring the relationship between angular velocity and centripetal acceleration, specifically seeking to determine the angular velocity that would produce a centripetal acceleration of 3 g's at a radius of 2.5 m.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the equations related to centripetal acceleration and angular velocity, with some questioning the meaning of variables such as W. There are attempts to manipulate the equations to find the angular velocity.

Discussion Status

Some participants have provided calculations and checks for correctness, while others have offered guidance on the importance of units in verifying results. There is a mix of confirmation and requests for verification of the calculations presented.

Contextual Notes

The original poster mentions an upcoming test, indicating a time constraint that may influence the urgency of the discussion. There is also a focus on ensuring clarity in the use of variables and units in the calculations.

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Homework Statement


What angular velocity would cause a centripetal acceleration of 3 g's if the radius were 2.5 m?

i have a test 2moro on this stuff... yea i need to know =D thx


Homework Equations



i guess m(v^2)/r or mW^2r

The Attempt at a Solution



no idea. srry :confused:
 
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iamtrojan3 said:

Homework Equations



i guess m(v^2)/r or mW^2r

What is the W? And what do you calculate with mW^2r?
 
W is rotational velocity.. sryy for not making that clear.
(MASS)(W^2)(radius)=centripetal Force
W^2R= Centripetal Acceleration
I just plugged numbers in 29.4= W^2(2.5) and i got 3.4radian/sec for W.
this looks 2 easy... if someoen could verify please =D
 
Yes, very good, your answer is correct. But you should also write down the units, for example acceleration is in m/s^2 and radius in m. This allows you to check whether your result is correct.

For example if you calculated W as something with 1/s^2, you know you made a mistake because the unit must be 1/s (or radian/sec).
 
Last edited:
thanks tons edgardo!
 

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