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Question

The mean value of velocity vector projection average over 3/8th of a period after the start is
  1. 22Aωπ
  2. 2Aω32π
  3. Aω3π
  4. 22Aω3π

A
22Aωπ
B
2Aω32π
C
22Aω3π
D
Aω3π
Solution
Verified by Toppr

x=Asin ωt
V=dxdt=Aω cosωt
3T80Vdt3T80dt=Aωω×[sinωt]3T80[t]3T80

A×[Sin(2πT×3T84)Sin0]3T8
=A×123T8
=22Aω3π

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