A gyroscope is spinning at angular velocity `omega_(0)`. The power is shut off, and the gyroscope begins to slow down with its angular velocity described by
`omega=omega_(0)e^(-r//T)`
with `T` a constant (a) How long does it take for the gyroscope to reach half its initial angular velocity? (b) What is the gyroscope's initial angular acceleration? (c) What is the gyroscope's average acceleration between the time the power through is cut of and the instant it reaches half speed? (d) Through how many revolutions does the gyroscope turn during this time?