Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

find the ratio of average speed and magnitude of average velocity of tip of a minute hand in 20 minutes
Asked by ukalyadab | 18 Jul, 2022, 11:52: AM
Expert Answer
Average speed = distance / time
 
distance travelled by minute hand in 20 s = (1/3) (2πR )
 
where R is length of minute hand.
 
Average speed = [ (1/3) (2πR )] / ( 20 × 60 ) = ( π / 1800 ) R  m/s
 
-------------------------------------------------
 
Average velocity = displacement / time
 
Since the motion is on a plane , Average velocity has two components
 
Average x-velocity  vx = x-displacement / time
 
( Polar coordinates are used to get displacements )
 
Average x-velocity vx  = [ R cos330 - R cos90 ] / (20×60) = ( √3 / 2400 ) R   m/s
 
Average y-velocity vy = y-displacement / time
 
Average y-velocity vy = [ R sin330 - R sin90 ] / (20×60) = ( -3 / 2400 ) R   m/s
 
magnitude of Average velocity  v = begin mathsize 14px style square root of v subscript x superscript 2 plus v subscript y superscript 2 end root space equals space 1 over 2400 open parentheses square root of 3 plus 9 end root close parentheses space R space equals space fraction numerator square root of 3 over denominator 1200 end fraction R end style  m/s
Ratio of average speed to magnitude of average velocity is determined as follows
 
begin mathsize 14px style R a t i o space equals space fraction numerator pi divided by 1800 over denominator square root of 3 space divided by space 1200 end fraction space equals space fraction numerator 2 space pi over denominator 3 space square root of 3 end fraction end style
 
Answered by Thiyagarajan K | 18 Jul, 2022, 01:31: PM
CBSE 11-science - Physics
Asked by ukalyadab | 18 Jul, 2022, 11:52: AM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by piyushhoney2006 | 20 Jun, 2022, 04:12: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by kalraneha629 | 18 Jun, 2022, 09:16: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by chinttubabu9692 | 27 Jan, 2022, 06:37: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by anyone.viv7807191905 | 21 Dec, 2021, 11:40: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by happy2001abhishek | 05 Nov, 2021, 09:49: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by erkyperky2004 | 03 Nov, 2021, 12:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by abhishekjangid3102002 | 15 Oct, 2021, 06:00: AM
ANSWERED BY EXPERT

Start your hassle free Education Franchisee and grow your business!

Know more
×