1. The propeller of an aircraft accelerates from rest with an angular acceleration

= 5t + 9,

where is in rad/s² and t is in seconds. What is the angle in radians through which the propeller rotates from

t = 1.00 s

to

t = 5.70 s?

2. A large stone disk is viewed from above and is initially at rest as seen in the figure below. The disk has a mass of165.0kgand a radius of2.300m.A constant force of40.0 Nis applied tangent to the edge of the disk for61.0s,causing the disk to spin around thezaxis.(a) Calculate the angular acceleration of the stone, finding both the direction and magnitude. (Express your answer in vector form. Substitute numeric values, do not use variables.)

=

rad/s²

(b) What is the final angular velocity of the stone? (Express your answer in vector form. Substitute numeric values, do not use variables.)

=

rad/s