Angular velocity and accelerating problem

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SUMMARY

The problem involves a disk with a constant angular acceleration of 2.0 rad/s² and an initial angular velocity of 5.0 rad/s, rotating through an angle of 11.0 radians. The correct approach to find the final angular velocity is to use the rotational kinematic equation: ω² = ω₀² + 2αθ. Applying this formula yields a final angular velocity of 9.0 rad/s. The confusion arises from misapplying linear equations to rotational motion, highlighting the importance of understanding the differences between these two types of kinematics.

PREREQUISITES
  • Understanding of angular kinematics
  • Familiarity with rotational motion equations
  • Knowledge of angular acceleration concepts
  • Ability to differentiate between linear and rotational equations
NEXT STEPS
  • Study the rotational kinematic equations in detail
  • Learn about the relationship between linear and angular motion
  • Practice problems involving angular acceleration and velocity
  • Explore resources on rotational dynamics, such as HyperPhysics
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Students studying physics, particularly those focusing on mechanics and rotational motion, as well as educators looking for teaching resources on angular kinematics.

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Homework Statement



A disk accelerates with a constant angular acceleration of 2.0 rad/s2. If the initial angular velocity is 5.0 rad/s, what is the angular velocity of the disk after rotating though an angle of 11.0 radians?

a = 2 rad/s^2
vo = 5 rad/s
Theta = 11 rad

Homework Equations



a = v^2/r
v = change in theta/change in time

The Attempt at a Solution



I'm very confused on these angular problems. Everyone always tells me that they're just like the linear ones but I disagree. There's something big that I'm missing.

I tried a couple things since I couldn't find a good formula to use.

I tried.. 5 + 1/2(2)(11^2) which is wayy too high I'm thinking.

Then I tried 5 + 2*11 = 27 rad/s.. which is also wrong.

Clearly I'm very confused, can anyone help me on the right track?

Thanks!
 
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LowlyPion said:
Keep in mind that the rotational equations are basically the analog of the linear kinematic equations.

http://hyperphysics.phy-astr.gsu.edu/hbase/rotq.html#drot

Thank you very much! I got it now, I guess I should have searched harder for a good equation.

My fault.
 

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