Ask Question

A hard drive with a spin speed of 7200 RPM, commences spinning at time = 0, at time = 1.326 ms what is the angle that the disk has rotated by relative to it's start position?

I. In degrees

II. In Radians

+2
Answers (1)
  1. 20 January, 23:10
    0
    Answer: I. 57º 17' II. 1 rad.

    Explanation:

    A spin speed, implies the relationship between the angle rotated and the time that has been spinning, which is equal, by definition, to the angular velocity.

    ω = Δ∅ / Δt

    In order to get the angle rotated in degrees, we need to convert first from RPM (revolutions per minute) to º/sec, as follows:

    7200 rev/min * (1 min/60 sec) * (360º / 1 rev) = 7200 * 6 = 43200 º/s

    Now, we know that the time passed since it started to spin, was 1.326 msec, i. e., 0.001326 sec.

    Remembering that ω = Δ∅ / Δt, solving for Δ∅, we get:

    Δ∅ = 43200 º / s * 0.001326 sec = 57º 17'

    II. In order to get the answer in rads, we can convert the rpm to rads/sec, as follows:

    7200 rev/min * (1 min/60 sec) * (2 π / 1 rev) = 240 π rad/sec.

    Applying the same equation as above, we get:

    Δ∅ = 240 π rad/s * 0.001326 sec = 1 rad.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A hard drive with a spin speed of 7200 RPM, commences spinning at time = 0, at time = 1.326 ms what is the angle that the disk has rotated ...” in 📗 Computers & Technology if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers