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A circular saw blade 0.200 $\mathrm{m}$ in diameter starts from rest. In 6.00 $\mathrm{s}$ , it reaches an angular velocity of 140 $\mathrm{rad} / \mathrm{s}$ with constant angular acceleration. Find the angular acceleration and the angle through which the blade has turned in this time.

a) $23.33 \mathrm{rad} / \mathrm{s}^{2}$b) 420 $\mathrm{rad}$

Physics 101 Mechanics

Chapter 9

Rotational Motion

Physics Basics

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Cornell University

Simon Fraser University

University of Winnipeg

McMaster University

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this problem is an exercise and using the rotational can Matic equations, it actually turns out they give us a day that diner, but it's not needed in this problem. Instead, we need the time which they give us a six seconds. They give us the final and you were lossy, which is 140 radiance per second. And they give us the initial in your lawsuit, which is your radiance per second and party is asking for the angler acceleration. And so to do this, we're going to use the back equation musical to omega monopolise Alfa T, where alphas are desired quantity to solve. This means that Alfa is equal to omega minus on that, you know, over tea. And then these are all right here. So play in it. 23.3 radiance Her second squared Barbie is asking for the annular distance traveled during this process. And to do that, I'm going to use the Cammack equation. Omega squared is equal to Omega, not squared. Plus two Alfa time state of my state or not, we're in this client. Here is our desire to known to be solved for you. This means that state of mind, state or not, is equal to Omega Squared minus omega, not squared over to Alfa. And these are all known at this point. And so this gives us 420 points, six ratings, and that's the final.

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