Ask a Doubt
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
answered-by-expert 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

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 11-science - Physics
1. Explain path length and displacement with illustrations and distinguish them. 2. Define uniform velocity of an object moving along a straight line. What will be the shapes of position-time and velocity-time graphs of such a motion? Find the distance travelled by the uniformly accelerated object in one dimension in nth second. Draw velocity-time graph of a uniformly accelerated motion in one dimension and explain that the distance travelled is equal to the area under velocity-time graph. ted motion deduce the equations of motion in (i) From the velocity-time graph of uniform accelerated motion. velocity and time (ii) distance and time (iii) distance and velocity. Show that the vector addition of two vectors is different from scalar addition of two scalars. 7. What vectors. zero vector? How can you obtain zero vectors? Give examples and properties of zero It is easier to pull than to push a lawn roller. Explain with diagram. State triangle law vector. vector addition. Find analytically the magnitude direction resultant 10. State parallelogram law of vector addition. Find analytically the magnitude and direction of resultant vector, when (i) two vectors other. parallel to each-other (ii) two vectors perpendicular to each- 11. What a projectile? Give its examples. Show projected horizontally from a certain height.
question image
Asked by amarjeetmandal290 | 19 Feb, 2024, 10:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
If a particle moves from point P(2,3,5) to Q(3,4,5). Its displacement vector be
question image
Asked by manjusrihalder395 | 07 Jan, 2024, 09:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
A person moves 30 m north and then 20 m towards east and finally 30√2m in south- west direction. The displacement of the person from the origin will be
Asked by spandya632 | 17 Nov, 2023, 08:36: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
a particle start from rest and move along a straight line with uniform acceleration.the ratio of time taken to cover successive distance in the ratio 1:3 is
Asked by hy9022075 | 10 Jan, 2023, 09:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
if position 'x' defined a function of time as: x(t)=t*3+2t*2+3t+4 . (1) find initial position of particle (2) find velocity in time interval from to =0 at t=3 second
question image
Asked by ad4957216 | 03 Jan, 2023, 04:54: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
A person goes to his office from his home daily at a fixed speed but today he decided to reduce his speed by 20% as a result he reaches his office 16 minute late. what's the actual time he takes to reach his office daily
Asked by prashantgaikwadfox000 | 25 Sep, 2022, 05:38: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
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
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
X = t2 + 2t Find velocity at t = 2 Sec
Asked by piyushhoney2006 | 20 Jun, 2022, 04:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
motion
Asked by kalraneha629 | 18 Jun, 2022, 09:16: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
the display ment of a body is given to be proportional to the cube of time elapsed . the magnitude of the acceleration of the body is
Asked by chinttubabu9692 | 27 Jan, 2022, 06:37: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×