Solution Found!
Answer: A circular saw blade 0.200 m in diameter starts
Chapter 9, Problem 14E(choose chapter or problem)
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.
Questions & Answers
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.