5. (II) The platter of the hard drive of a computer rotates at 7200 rpm (rpm = revolutions per minute = rev/min). (a) What is the angular velocity (rad/s) of the platter? (b) If the reading head of the drive is located 3.00 cm from the rotation axis, what is the linear speed of the point on the plat- ter just below it? (c) If a single bit requires 0.50 µm of length along the direction of motion, how many bits per second can the writing head write when it is 3.00 cm from the axis?
5. (II) The platter of the hard drive of a computer rotates at 7200 rpm (rpm = revolutions per minute = rev/min). (a) What is the angular velocity (rad/s) of the platter? (b) If the reading head of the drive is located 3.00 cm from the rotation axis, what is the linear speed of the point on the plat- ter just below it? (c) If a single bit requires 0.50 µm of length along the direction of motion, how many bits per second can the writing head write when it is 3.00 cm from the axis?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:**Problem 5: Rotational Motion of a Hard Drive**
A hard drive platter rotates at 7200 revolutions per minute (rpm). In this problem, we'll explore the physics behind this rotational motion with the following questions:
(a) **Angular Velocity**:
What is the angular velocity of the platter in radians per second (rad/s)?
(b) **Linear Speed**:
If the reading head of the drive is located 3.00 cm from the rotation axis, what is the linear speed of the point on the platter directly below it?
(c) **Data Writing Capacity**:
If a single bit requires 0.50 micrometers (μm) of length along the direction of motion, how many bits per second can the writing head write when it is 3.00 cm from the axis?
This problem examines concepts such as rotational motion, angular velocity, linear speed, and data density on a hard drive's surface.
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