A computer hard drive contains a circular disk with diameter...

A computer hard drive contains a circular disk with diameter $2.5$ inches and spins at a rate of 7200 RPM (revolutions per minute). Find the linear speed of a point on the edge of the disk in miles per hour.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Circular Motion

This concept deals with the movement of an object along a circular path. It involves understanding that any point on a rotating object, like the edge of a disk, travels along a circular trajectory, and its linear distance per revolution is determined by the circle's circumference.

Circumference Calculation

The circumference of a circle is the distance around the circle, calculated using the formula C = 2?r. It plays a crucial role in determining the distance traveled per revolution by a point located on the exterior of the circle.

Angular and Linear Speed Relationship

Angular speed indicates how fast an object rotates, measured in revolutions per unit time (e.g., RPM). The linear speed of a point on the rotating object is directly related to its angular speed and the radius, expressed by v = (circumference) × (number of revolutions per unit time).

Unit Conversion

Unit conversion is essential to translate measurements from one set of units to another, such as converting inches to miles and minutes to hours. This process ensures that the final answer is expressed in the desired units, accounting for differences in dimensional scales.

Transcript

Please give Ace some feedback