A particle moves on a circular path of radius r.it complete one revolution in 40s. calculate distance & displacement in 2min 20s.
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Answered by
33
❇❇❇ hey there,,,,
here is ur answer
➖➖ , given: time period for one revolution is 40s
, calculate for 2 min 20s ➡. 140s
distance = 2πr for 40 second
then for 140 second
➡➡ total revolutions will be = 140÷40 = 3.5
s= 2πr×3.5
s= 7πr is the distance
✔✔✔displacement ➖➖
✴✴ since for one. complete. revolution the DISPLACEMENT is zero, hence we can just calculate for last 20 seconds
it becomes
, ⏩⏩ s = 2πr÷2
s= π ×r
since this time period is exactly half of the value of the given value, hence the DISPLACEMENT will also be half, ...
❕❕hope it helps u❗❗❗
here is ur answer
➖➖ , given: time period for one revolution is 40s
, calculate for 2 min 20s ➡. 140s
distance = 2πr for 40 second
then for 140 second
➡➡ total revolutions will be = 140÷40 = 3.5
s= 2πr×3.5
s= 7πr is the distance
✔✔✔displacement ➖➖
✴✴ since for one. complete. revolution the DISPLACEMENT is zero, hence we can just calculate for last 20 seconds
it becomes
, ⏩⏩ s = 2πr÷2
s= π ×r
since this time period is exactly half of the value of the given value, hence the DISPLACEMENT will also be half, ...
❕❕hope it helps u❗❗❗
Anonymous:
thank u mate... your answer for distance is right but answer for displacement in hint is 2r... if possible will u please explain why is it so.... please !
Answered by
31
Radius of the circular path = R
Time= 2min 20sec = 140seconds
Distance covered in One second= 2π R
Time for one Revolution = 40 seconds
Revolution completed in 140 sec= 140/40
= 3.5 second
Distance covered in 3.5 second = 3.5× 2πR
= 7π R
Displacement in 3.5 revolution = 2R
(shortest distance between initial and final distance)
Ratio of displacement to distance
=2π/7π
= 2/7
Hope this helps you....
HAVE A BEAUTIFUL DAY!
Time= 2min 20sec = 140seconds
Distance covered in One second= 2π R
Time for one Revolution = 40 seconds
Revolution completed in 140 sec= 140/40
= 3.5 second
Distance covered in 3.5 second = 3.5× 2πR
= 7π R
Displacement in 3.5 revolution = 2R
(shortest distance between initial and final distance)
Ratio of displacement to distance
=2π/7π
= 2/7
Hope this helps you....
HAVE A BEAUTIFUL DAY!
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