A body can have zero average velocity but not zero average speed.Why?
Answers
Answer:
Velocity can be zero but not speed because :
Velocity :
It is defined as the rate of change of displacement per unit time .
Speed :
It is defined as the rate of change of distance per unit time
It is the minimum distance between two points .
♥See attachement
It is the actual length between two points .
d1 is displacement in attachement which is with red line
d2 is distance with blue line
☯☯☯☯☯☯☯☯☯☯☯❓❓❓❓❓
Now when the average velocity is zero ❓❓❓❓
when the object is travelling in circular path and the initial and final position is same.
Then If object start from one point and stop after a round on that points again then the distance travelled has some magnitude because it is actual distance between two points .
But displacement become zero because the minimum distance between two points is zero ( the object again reach at the same points )
See attachement 2
♥♥
The displacement is zero So velocity also zero
Thanks !!
☢️average velocity:-
➡️Average velocity is defined as the ratio of total displacement by TOTAL time taken.⚡⚡
☢️average speed:-
➡️Average speed is the ratio of total distance by TOTAL time taken.⚡⚡
your answer:-
➡️As average velocity depends on displacement and displacement can be zero if
the object returns to initial position .
Where as distance can never be zero for a journey.⚡⚡
Example:
➡️A person completes one revolution in circular path.
➡️Distance = 2 *pi*r
➡️Whereas displacement is zero as source and destination is same.
➡️Hence A body can have zero average velocity but not zero average speed.⚡⚡