Angular velocity of a machine problem

[vm310]

A machine rotates at an angular velocity of 1.6rad/s. Its velocity is then increased to 6.2rad/s at an angular acceleration of 0.7rad/s². (a) How many revolutions does it make during its acceleration? (b) How long does the acceleration take?


Sorry I'm not quite sure as how to approach this problem, and I don't even know where to begin. Any advice would be greatly appreciated.

 

[TVP45]

Do you know any equation that relates revolutions, angular velocity, angular acceleration, and time? Can you then show some work? Thanks.

 

[vm310]

aright i got it thanks! i used:

$$\omega$$=$$\omega$$₀+$$\alpha$$t

and

$$\theta$$=$$\theta$$₀+$$\omega$$₀+$$\frac{1}{2}$$$$\alpha$$t²