1.

the radus if the rear wheel of bicycle is twice that of the front wheel. When the bicycle is moving . The angularspeed of the rear wheel comparedto thatof the front is

Answer»

Greater
smaller
same
exactdouble

Solution :As no external torque actson the system, angular momentumwill remain conserved.l Accordingto law of CONSERVATION of angular momentum, Acorrdingto law of conservationof angularmomentum , `I_(1)Omega_(1) = I_(2)Omega_(2)`
` orm_(r)r_(r)^(2) Omega_(r) = m_(f) r_(f)^(2) Omega_(f)`
Wherethe subscriptsr and f denotethe rearand front.
` m(2r_(f))^(2) Omegar = mr_(f)^(2) Omega_(f) [r_(r) = 2r_(f) ` (Given)]
` therefore4Omega_(r) = Omega_(f)or Omega_(r) = (Omega_(f))/4 `
Hence, the ANGULARVELOCITY of rear wheelwill be smallercomparedto frot wheel.


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