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.

Answer 1

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)

Answer 2

The displacement of the body after 6 minutes is 56 m.

Given,

The circumference of the park = 176 m

Time taken to cover the circumference of the park = 4 minutes.

To Find,

The displacement of the body after 6 minutes.

Solution,

The body covers the circumference of the park in 4 minutes.

So,

2πr = 176

2*22/7*r = 176

r = 176*7/44 = 28 m

Since the speed of the body is constant. So in 6 minutes, the body will cover one complete round of the circle and one half round.

So, the displacement after 6 minutes will be equal to the diameter of the park.

Displacement after 6 minutes = Diameter of the park = 2r = 2*28 = 56 m

Hence, the displacement of the body after 6 minutes is 56 m.