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A computer hard drive typically operates with a rotation speed of 7200 rpm (revolutions per minute). In the first 175 ms the hard drive turns through 4 revolutions at a constant angular acceleration. It continues with that acceleration until it reaches its maximum angular speed.

(i) What is the angular acceleration of the drive, in rad/s2?

(ii) What is the time required for the drive to reach its maximum angular speed, in ms?

(iii) How many total revolutions have been made while the drive is "spinning up" - i.e. reaching its maximum angular speed?

(iv) If the radius of an average hard drive is 3.2 mm, then what is the maximum tangential velocity of the drive?

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