Question

A body covers one revolution around a circular park of circumference 176 m in 4 minutes.find the displacement of the body after 6 minutes. and is 56 solve this

Answer 1

Body covers the distance of one revolution in 4 minutes and in 6 minutes it would have covered half the circumference of the circle more. Now since displacement is a vector with shortest Path hence the shortest path joining the initial and the final point will be the diameter of the circle

2πr= 176
2r= 176/π
2r= 56
Since diameter was the diaplacement and d=2r
Hence displacement is 56m.

Answer 2

Answer:

Total distance around the track is 176m.

Speed of the body = total distance covered/total time taken

                                = 176/4

                                =44metres/min

Find the distance covered in 6 minutes:

                          if 1 min= 44m

                          then 6 min=(44X6)/1 =264

There the distance covered around the track from starting point = 264-176

                                                                                                            =88 metres

This corresponds to distance around half the track, which means displacement corresponds to 180 degrees

Hence, the displacement distance is the diameter.

total distance around the track= 176m

Circumference=Xdiameter.....176=22/7 XD

                                                                      D=176X7/22

                                                                    =56 (therefore the displacement is                                                                                            56meters)