The angular velocity of an object is given by the following equation: ω(t)=(5rads3)t2\omega\left(t\right) =\left(5\frac{rad}{s^3}\right)t^2ω( t)=(5s3rad​)t2 What is the angular displacement of the object (in rad) between t = 2 s and t = 4 s?

Awoman stands a distance d from a loud motor that emits sound uniformly in all directions. the sound intensity at her position is an uncomfortable 2.0×10-3 w/m2. at a distance 2.6 times as far from the motor, what are (a) the sound intensity and (b) the sound intensity level relative to the threshold of hearing?

At a certain instant after jumping from the airplane a, a skydiver b is in the position shown and has reached a terminal (constant) speed vb = 52 m/s. the airplane has the same constant speed va = 52 m/s, and after a period of level flight is just beginning to follow the circular path shown of radius ρa = 2330 m. (a) determine the velocity and acceleration of the airplane relative to the skydiver. (b) determine the time rate of change of the speed vr of the airplane and the radius of curvature ρr of its path, both as observed by the nonrotating skydiver.

Convection occurs when thermal energy is transferred by the movement of