The blades of a ceiling fan have a radius of 0.380 m and are rotating about a fixed axis with an angular velocity of +1.50 rad/s. when the switch on the fan is turned to a higher speed, the blades acquire an angular acceleration of +2.00 rad/s². after 0.500 s has elapsed since the switch was reset, what is (a) the total acceleration (in m/s²) of a point on the tip of a blade and (b) the angle ϕ between the total acceleration → a and the centripetal acceleration → a c ?

(A) 4.75 m/s^{2}

(b) 81.5°

Explanation:

radius (r) = 0.38 m

initial angular velocity (ω') = 1.5 rad/s

angular acceleration (α) = 2 rad/s^{2}

time (t) = 0.5 s

(A)   tangential acceleration (a) = α x r

       a = 2 x 0.38 = 0.76 rad/s^{2}

       final angular velocity (ω) = ω + αt

       ω = 1.5 + (2 x 0.5) = 3.5 m/s

       a' = = 4.7 m/s^{2}

       total acceleration = = 4.75 m/s^{2}

(B)  tanθ

      θ=

      θ= = 81.5°

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia