Answer: A circular saw blade 0.200 m in diameter starts

Chapter 9, Problem 14E

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QUESTION:

Problem 14E

A circular saw blade 0.200 m in diameter starts from rest. In 6.00 s it accelerates with constant angular acceleration to an angular velocity of 140 rad/s. Find the angular acceleration and the angle through which the blade has turned.

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QUESTION:

Problem 14E

A circular saw blade 0.200 m in diameter starts from rest. In 6.00 s it accelerates with constant angular acceleration to an angular velocity of 140 rad/s. Find the angular acceleration and the angle through which the blade has turned.

ANSWER:

Solution 14E

Introduction

The initial and final angular velocity of the disk is given, and the time is given. We have to calculate the angular acceleration and the total angle covered by the disc.

Step 1

The angular acceleration  is given by

Here we know that

 rad/s

And  s.

Hence the angular acceleration is

So the angular acceleration of the saw blade is 23.3 rad/s2.

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