Rotational Equilibrium and Dynamics -

In summary, the conversation discusses rotational equilibrium and dynamics, specifically the calculation of initial and final rotational kinetic energy for a skater spinning with different moment of inertia values. The formula KE=1/2·I·ω² is mentioned, along with the use of conservation of angular momentum to determine the initial and final values. The provided moment of inertia values are 41 kg·m² and 36 kg·m².
  • #1
raconteur
2
0
Rotational Equilibrium and Dynamics - :)

I'm totally stumped!
---------------------
A skater spins with an angular speed of 12.0 rad/s with his arms outstretched. He lowers his arms, decreasing his moment of inertia from 41 kg·m² to 36 kg·m²

Calculate his initial and final rotational kinetic energy.
----------------------
Is the formula KE=1/2·I·ω² ?
ω=angular speed.. so ω=12.0 rad/s
so then how would i get I (inertia) ?
and how would i find out initial and final ?
---------------------
i just need some help :grumpy:
 
Last edited:
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  • #2
s the formula KE=1/2·I·ω² ?
yes
so then how would i get I (inertia) ?
its given. read the question

and how would i find out initial and final ?
Use conservation of Angular momentum.
 
  • #3
^^^
hmm, i think i get it

so.. i use (plug in) 41 kg·m² to get my initial and 36 kg·m² to my my final?
 

1. What is rotational equilibrium?

Rotational equilibrium is a state in which an object is not moving or rotating, or is rotating at a constant speed, due to the balanced forces acting on it.

2. How is rotational motion different from linear motion?

Rotational motion involves an object rotating around an axis, while linear motion involves an object moving in a straight line.

3. What is torque and how is it related to rotational equilibrium?

Torque is a measure of the force that causes an object to rotate around an axis. In rotational equilibrium, the sum of all the torques acting on an object is equal to zero.

4. What is the difference between static and dynamic equilibrium?

Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is in motion at a constant speed.

5. How can you determine the center of mass of an object?

The center of mass of an object is the point at which the weight of the object can be considered to act. It can be calculated by finding the weighted average of the positions of all the particles in the object.

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