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A particle moves in circle of radius 4cm with const.speed of 1cm/sec. Find Avge.Spd, Avge.Vel And Avge.Acclrtn in time interval from t=0 to t=T/4.Here T is time period of particle. Also tell me Is speed essential for a body to have an acceleration?

A particle moves in circle of radius 4cm with const.speed of 1cm/sec.


Find Avge.Spd, Avge.Vel And Avge.Acclrtn in time interval from t=0 to t=T/4.Here T is time period of particle.


Also tell me Is speed essential for a body to have an acceleration?

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear chilukuri

 

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speed = distance/time

1        =2 ∏ * 4 /T

So T=8∏  sec

Avg speed  = total distance/time

                 =2 ∏  /(T/4)

                  =2 ∏  /2 ∏

                  =1 cm/sec

Avg velocity =total displacement/time

                   =4√2/(T/4)

                    =4√2/2 ∏

                     =2√2/∏  cm/sec

Avg Acc   = |change in velocity vector|/total time

               =|-vi-(-vj)|/2∏

                =v√2/2∏

                 =√2/2∏  cm/sec2


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