On takeoff, the propellers on a UAV (unmanned aerial vehicle) increase their angular velocity from rest at a rate of ? = 31.3t rad/s for 4.8 s. (Enter the magnitudes.) (a) What is the instantaneous angular velocity (in rad/s) of the propellers at t = 1.3 s? b)What is the angular acceleration (rad/s2)?

A wind turbine is rotating counterclockwise at 0.83 rev/s and slows to a stop in 13 s. Its blades are 23 m in length. (a) What is the angular acceleration of the turbine (in rad/s-)? (Indicate the direction with the sign of your answer.) -.402 rad/s (b) What is the centripetal acceleration (in m/s2) of the tip of the blades at t = 0? (Enter the magnitude. Round your answer to at least two decimal places.) 627.13 X m/s2 (c) What is the magnitude (in m/s2) of the total linear acceleration of the tip of the blades at t = 0? (Round your answer to at least two decimal places.) %3D m/s2 What is the angle that this total linear acceleration vector makes with the centripetal acceleration vector? (Enter the magnitude of the smallest such angle in degrees.)

You have a 1.00 m long string with a bob attached to its end. You are swinging it around your head, and it completes 1.00 whole revolution every 2.00 s. What is its tangential speed, in m/s? Answer with 3 significant figures.

A ceiling fan with 65.0 cm diameter blades is turning at 45.0 rpm. Suppose the fan coasts to a stop 35.0 seconds after being turned off.Assuming the fan is slowing down at a constant rate, what is the angular acceleration (in rad/s/s) of the fan?  What is the fan's angular velocity (in rad/s) 20 seconds after being turned off? What is the speed of the tip of the blade (in m/s) 20 seconds after being turned off?  Through how many revolutions does the fan turn while stopping?