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Units And Measurement

Question
CBSEENPH11020623

A particle moves in a circle of radius 5 cm with constant speed and time period 0.2 πs. The acceleration of the particle is 

  • 25 m/s2

  • 36 m/s2

  • 5 m/s2

  • 15 m/s2

Solution

C.

5 m/s2

D.

15 m/s2

Given comma space straight r space equals space 5 space cm space equals space 5 space straight x space 10 to the power of negative 2 end exponent space straight m
and space straight T space equals space 0.2 space πs
We space know space that space acceleration
straight a space equals space rω squared
equals fraction numerator 4 straight pi squared over denominator straight T squared end fraction straight r
equals space fraction numerator 4 space straight x space straight pi squared space straight x space 5 space straight x space 10 to the power of negative 2 end exponent over denominator left parenthesis space 0.2 space straight pi right parenthesis squared end fraction space equals space 5 space ms to the power of negative 2 end exponent