question_answer

An object is moving with uniform speed in a circle of radius r. Calculate the distance and displacement (i) when it completes half the circle (ii) when it completes full circle (iii) what type of motion does the object possess?

Answer:

                                             (i) When an object completes half the circle, the distance travelled by an object \[=\frac{1}{2}\times \] circumference of a circle \[=\frac{1}{2}\times 2\pi r=\pi r\]                                             Displacement of an object = 2r            (ii) When an object completes full circle, then Distance travelled by an object \[=2\pi r\] Displacement travelled by an object = 0 [\[\because \] initial and final position are same] (iii) Direction of motion of an object changes  continuously in the circle, hence its velocity    changes and its motion is accelerated motion.