A body covers a circular pathof radius r in 20 sec.calculate distance and displacement at the end of 70seconds?
Answers
sorry displacement will be 2r and distance will be 7pie r
Given :- A body takes 20 Sec to cover a distance of 2πr units .
The speed will be 2πr/20 = πr/10 m/s
To calculate:- Distance and displacement in 70 seconds.
Solution :-
Distance-> Speed ×Time
-> πr/10 × 70
-> 7πr m
Distance= 7πr m
Displacement->
Here we have to think logically ,
see in 20 seconds the body covers the whole circle i.e. the displacement will be zero , so in 40 seconds it will be zero too ,and in 60 second it will be zero again ...
Then in the remaining 10 seconds the displacement will be ,
Distance = πr/10 ×10
= πr m
as we can see here it covers the half circle ....so the displacement which is the minimum distance between the starting and final point will be The diameter .
Displacement= 2r.
Answer ->>
- Distance = 7πr m
- Displacement = 2r m