14. Starting from an “idling" rate of 65.00 rpm, a single-engine airplane's propeller attains its liftoff angular velocity of 2.200x10 rpm after executing 1250 rotations. (i) Convert each of the quantities listed above to the proper metric unit, and assign to them the appropriate variable name. (ii) What is the propeller's angular acceleration? (iii) Given that the propeller has a mass of 52.1 kg and is 3.1 m from end to end, determine the net torque acting on the propeller during this acceleration. (It may help to remember that for a stick-like object rotated about its center, the rotational inertia is given by ml².) (iv) One way of calculating instantaneous power is by using the formula P = F v. Although this does not apply directly to this case, an analogous equation will. Deduce this rotational analogue and use it to determine the average power output of the engine during the acceleration of the propeller. Express your answer in watts, then convert to horsepower.
14. Starting from an “idling" rate of 65.00 rpm, a single-engine airplane's propeller attains its liftoff angular velocity of 2.200x10 rpm after executing 1250 rotations. (i) Convert each of the quantities listed above to the proper metric unit, and assign to them the appropriate variable name. (ii) What is the propeller's angular acceleration? (iii) Given that the propeller has a mass of 52.1 kg and is 3.1 m from end to end, determine the net torque acting on the propeller during this acceleration. (It may help to remember that for a stick-like object rotated about its center, the rotational inertia is given by ml².) (iv) One way of calculating instantaneous power is by using the formula P = F v. Although this does not apply directly to this case, an analogous equation will. Deduce this rotational analogue and use it to determine the average power output of the engine during the acceleration of the propeller. Express your answer in watts, then convert to horsepower.