This could be caused by extensive usage of the drive by some app or process. Check the apps that are running, check startup items, page file. run a virus scan. You might want to look at system monitoring to see if you can trace what services/apps are using up the most recourses.
Another thought, the sound might be coming from the fans, not necessarily the drive. Or the air flow within the case causes the temperature spike. If the fans are dirty try blowing them out with compressed air.
If those don't fix the problem, please provide additional info, what OS you're running, does this happen continuously or at a particular task like startup. Also try booting into safe mode and see if the same behavior persists.