(Ans. 5.26 rps)
2. A mass of 2 kg is rotating on a circular path of
radius 0.8 m with angular velocity of 44 rad s-?. If
the radius of the path becomes 1.0 m, what will
be the value of angular velocity ?
29 16 rod.-1
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1
Answer:
Circular Motion
Explanation:
★ Given ;
» mass ( m ) = 2 kg
» radius 1 ( R1 ) = 0.8 m
» Angular velocity 1 ( w 1 ) = 44 rad / s
» Radius 2 ( R2 ) = 1 m
★ Angular velocity 2 ( w 2 ) = ????
______________________________________________________________________
[ Angular velocity ( W ) = Velocity of body ( v ) / radius of track ( R ) ]
so ;
★ W ≈ 1 / R ★
______________________________________________________________________
★ W1 / W2 = 1 / R1 / 1 / R2
» W1 / W2 = R2 / R1
» 44 / W2 = 1 / 0.8
» W2 = 44 × 0.8
★ New Angular velocity ( W2 ) = 35.2 rad / second ★
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