Answer:
Explanation:
moment of inertia of man
= mr² , m is mass of man and r is radius of table .
= 53 x 2.9²
=445.73
angular momentum of runner = mvr , v is velocity of runner .
53 x 3.6 x 2.9 = 553.32
angular momentum of turntable
= Iω , I is moment of inertia and ω is angular velocity of table .
= 76 x .2 = 15.2
Total angular momentum = 553.32 - 15.2
= 538.12
Let the common velocity when the runner comes to rest with respect to turntable be ω.
total moment of inertia of the system
= 445.73 + 76
= 521.73
Applying law of conservation of angular momentum
total initial angular momentum = final angular momentum
538.12 = 521.73 ω
ω = 1.03 rad /s .
