Flywheel Problem: Angular Acceleration & Linear Acceleration

[kiwinosa87]

OKie, I am having a bit of trouble with this problem...
The flywheel of a steam engine runs with a constant angular velocity of 160 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 1.2 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning at 80.0 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 38 cm from the axis of rotation? (d) What is the magnitude of the net linear acceleration of the particle in (c)?

 

[radou]

OKie, I am having a bit of trouble with this problem...
The flywheel of a steam engine runs with a constant angular velocity of 160 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 1.2 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning at 80.0 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 38 cm from the axis of rotation? (d) What is the magnitude of the net linear acceleration of the particle in (c)?

Start off with: $$\omega(t) = \omega_{0} - \epsilon t$$, where $$\omega$$ is the angular velocity, and $$\epsilon$$ the angular acceleration.