Question

a man complete one rotation on circular field of radius 28 metre calculate the distance travelled and displacement ?​

Answer 1

Total distance is equal to circumference=2πr

hence total distance covered in first round is 2*22/7*20

by using speed=distance/ time

u can find speed

and then you have to find distance for three minutes

and hence displacement is zero

Distance in circular motion = Circumference of the circle

As we know, circumference of the circle is denoted by

 

$2\pi r$

Distance=

 2 × 22/7 × 20

 

             = 125.7 metre

This means he completed one round in 40 seconds. Thus, he takes 40 seconds to complete one round

Now for 3 minutes= 180 seconds

now taking the ratio,

125.7/40 = x/180

Thus,

                 

125.7×180/40 = x

Thus

x=565.7

Thus he covered a distance of 565.7 metre in 3 minutes

for displacement let's divide the covered distance by circumference

=565.7/125.7

=4.500

Now converting this in words

this means he has completed 4 rounds and have completed 1/2 round extra, he is on a point parallel to his starting point

thus he is not on his starting position, thus his displacement is not zero. Drawing a line from starting position to his current position, it will pass through the centre, it is the diameter

Displacement= 2×20

                     = 40m

ANS Distance covered in 3 minutes is 565.7 m and displacement is 40m

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