Rotational MotionHard
Question
If the earth were to suddenly contract to
th of its present radius without any change in its mass then the duration of the new day will be nearly : -
Options
A.
hour
B.24n hour
C.
hour
D.24n2 hour
Solution
There is no exertial torque so the angular momentum remains constant as due to contraction the MI of earth decreases.
I2 =
Now I1ω1 = I2ω2 =
∴ T2 =
⇒ T2 =
∴ T2 = 
I2 =
Now I1ω1 = I2ω2 =
∴ T2 =
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