A typical hard disk in a desktop computer is a uniformly solid, 400 gram disk 3.5 inches in diameter, and takes 70 milliseconds to spin from rest up to a frequency of 7200 revolutions per minute (r.p.m.). Problem 2.1. What is the period of the disk in seconds when it’s at its final spinning rate? Problem 2.2. What is its angular speed in rad/s when it’s at its final spinning rate? Problem 2.3. Assuming it is constant throughout this spin-up process, what is the angular acceleration of the disk in rad/s2?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 17PQ: Jeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described...
Question

A typical hard disk in a desktop computer is a uniformly solid, 400 gram disk 3.5 inches in diameter, and takes 70 milliseconds to spin from rest up to a frequency of 7200 revolutions per minute (r.p.m.).

Problem 2.1. What is the period of the disk in seconds when it’s at its final spinning rate?

Problem 2.2. What is its angular speed in rad/s when it’s at its final spinning rate?

Problem 2.3. Assuming it is constant throughout this spin-up process, what is the angular acceleration of the disk in rad/s2?

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