Problem $1(4\%$ per question$).$ Assume that we are using a hard disk with the following characteristics: $$ Capacity $100$ GB $$ Average seek time $9$ msec Spindle speed $5,400$ rpm Bytes per sector $512$ Sectors per cluster $8$ Sectors per track $250.$ Assume that we have a file of $100,000$ records. Each record has $128$ bytes. Answer the following questions: $1.$ How much is the average rotational delay? $2.$ How many records can be stored in one sector? $3.$ How many clusters are needed for the file? $4.$ How much is the time for reading one track, including the seek time, the average rotational delay, and the transfer time? $5.$ Assuming contiguous storage, namely the records are stored in clusters from the same track as long as possible, how much is the total time for reading the whole file? $6.$ Assuming the minimal transfer unit is one cluster, how much is the time for reading one cluster, including the seek time, the average rotational delay, and the transfer time? $7.$ Assuming random storage of the records and every record is stored in a different cluster, reading a cluster will include the seek time, the average rotational delay, and the transfer time for that cluster, how much is the total time for reading the whole file?