# 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
148 Points
12 years ago

Dear chilukuri

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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