Question #a03f5

1 Answer
Feb 14, 2017

26.bar6" rad"cdot"s"^-226.¯6 rads2

Explanation:

Expression connecting angular velocity omega ω and rpm is

omega=2pifω=2πf
where ff is revolution per second.

In the given problem
Initial angular velocity omega_i=2pixx1200/60=20pi" rad"cdot"s"^-1ωi=2π×120060=20π rads1
Final angular velocity omega_f=2pixx3000/60=100pi" rad"cdot"s"^-1ωf=2π×300060=100π rads1
Change in angular velocity Delta omega=(100-20)pi=80pi" rad"cdot"s"^-1
Average Rotational or Average Angular acceleration baralpha-=(Deltaomega)/(Deltat)
Therefore we have Average Angular acceleration bar alpha=(80pi)/3
=26.bar6" rad"cdot"s"^-2