(a) Derive Eq. (9.12) by combining Eqs. (9.7) and (9.11) to eliminate t. (b) The angular velocity of an airplane propeller increases from 12.0 rad/s to 16.0 rad/s while turning through 7.00 rad. What is the angular acceleration in rad/s2?

Solution 12E Step 1: a) From equation 9.7, we can derive two expressions for and . oz z Equation 9.7 is, = + t z oz z Where, - Angular velocity at time “t’ z - Angular velocity at t = 0 oz zconstant angular acceleration of the body Rearranging equation 9.7, - = t oz z z That is, ( - ) /z t oz z