In the pictures above, a bug has landed on the rim of a jelly jar and is moving

Question

In the pictures above, a bug has landed on the rim of a jelly jar and is moving around the rim. The location where the bug initially lands is described and its angular speed is given. Impose a coordinate system with the origin at the center of the circle of motion. In each of the cases, answer these questions.

(a) Find an angle ?0 in standard central position that gives the bug's initial location. (In some cases, this is the angle given in the picture.)

Case 1      ?0 = ______ rad Case 2      ?0 = ______ rad Case 3      ?0 = ______ rad

Explanation / Answer

solution:

in each of the case we have to tell the initial angle of the bug landing in the standard form

case 1= as indicated

= 1.1 rad

case 2= thebug lands on the diameter on negative axis means it has completed half revolution

= pi radians

case 3:= net angle will be

= (pi-0.5)radians

= 2.6128 radians

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