How to find angular acceleration

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SUMMARY

The discussion focuses on calculating the angular acceleration of a propeller that decelerates from 450 revolutions per minute (rev/min) to 200 rev/min over a time span of 3.50 seconds. The relevant equations include the average angular acceleration formula, \(\vec{\alpha}_{ave}=\frac{\Delta\vec{\omega}}{\Delta t}\), and the conversion of rev/min to radians per second, \(\frac{1 \text{ rev}}{\text{min}}=\frac{\pi \text{ rad}}{30 \text{ s}}\). The solution involves determining the change in angular velocity and dividing it by the time interval to find the angular acceleration.

PREREQUISITES
  • Understanding of angular velocity and its units (rev/min and rad/s).
  • Familiarity with the concept of angular acceleration.
  • Knowledge of basic kinematic equations for rotational motion.
  • Ability to convert between different units of angular measurement.
NEXT STEPS
  • Learn how to convert angular velocity from rev/min to rad/s.
  • Study the derivation and application of the average angular acceleration formula.
  • Explore additional rotational kinematic equations for complex motion analysis.
  • Practice problems involving angular deceleration and acceleration in various contexts.
USEFUL FOR

Students studying physics, particularly those focusing on rotational dynamics, as well as educators looking for clear examples of angular acceleration calculations.

itsmarasilly
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Homework Statement


A propeller slows from 450 rev/min to 200 rev/min in 3.50 s. What is its angular acceleration?

Homework Equations


ac = v^2/r
and v = rw

The Attempt at a Solution


I know this is probably a simple problem, but what do the variables in the relevant equations refer to?
 
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itsmarasilly said:

Homework Statement


A propeller slows from 450 rev/min to 200 rev/min in 3.50 s. What is its angular acceleration?

Homework Equations


ac = v^2/r
and v = rw

The Attempt at a Solution


I know this is probably a simple problem, but what do the variables in the relevant equations refer to?

Here are some more relevant equations:

[tex]\frac{1 rev}{min}=\frac{1 rev}{60 s}=\frac{\pi rad}{30 s}[/tex], and
[tex]\vec{\alpha}_{ave}=\frac{\Delta\vec{\omega}}{\Delta t}[/tex].
 

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