A) greater
B) smaller
C) same
D) exact double
Correct Answer: B
Solution :
Angular momentum will remain conserved, ie, \[{{I}_{1}}{{\omega }_{1}}={{I}_{2}}{{\omega }_{2}}\] or \[{{m}_{r}}{{r}_{r}}{{\omega }_{r}}={{m}_{f}}{{r}_{f}}{{\omega }_{f}}\] or \[m2{{r}_{f}}{{\omega }_{r}}=m{{r}_{f}}{{\omega }_{f}}\] \[[{{r}_{r}}=2{{r}_{f}}]\] \[\therefore \] \[2{{\omega }_{r}}={{\omega }_{f}}\] Hence, the angular velocity of rear wheel will be smaller compared to front wheel.
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