(Large rotation of an antenna)

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

(Large rotation of an antenna) (i) An automatic television antenna rotates through 17π9\dfrac{17\pi}{9} radians from its initial position. Convert this angle to degrees, correct to one decimal place. (ii) Determine how many complete revolutions the antenna makes and find the remaining angle (between 0∘0^\circ and 360∘360^\circ) that locates the final position of the antenna. (iii) State in which quadrant (I, II, III or IV) the terminal side of the antenna lies after the rotation.

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