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Brittany0512
10.12.2019 •
Physics
Aman stands on a platform that is rotating (without friction) with an angular speed of 2.4 rev/s; his arms are outstretched and he holds a brick in each hand. the rotational inertia of the system consisting of the man, bricks, and platform about the central vertical axis of the platform is 6.2 kg · m2. by moving the bricks the man decreases the rotational inertia of the system to 2.0 kg · m2. (a) what is the resulting angular speed of the platform? rev/s
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Ответ:
The resulting angular speed of the platform is 7.44 rev/s.
Explanation:
Given that,
Speed = 2.4 rev/s
Moment of inertia consist of the man = 6.2 kg-m²
Moment of inertia by the bricks= 2.0 kg-m²
We need to calculate the resulting angular speed of the platform
Using law of conservation of momentum
Where,
Put the value into the formula
Hence, The resulting angular speed of the platform is 7.44 rev/s.
Ответ: