Rotation of a Rigid Object about a fixed axis

In summary, the problem involves a wheel made up of two thin rods and a metal ring, with a lead weight being shot horizontally at it. The resulting question is to find the rotational speed of the wheel and lead mass after the collision. The solution involves using conservation of energy and the equation 0.5Iω2=0.5mv2 to find the angular velocity.
  • #1
XwakeriderX
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Homework Statement


A wheel is comprised of two 50.0 cm long thin rods of negligible mass and a thin metal ring with a mass of 10.00 kg, mounted on a very low friction bearing. A 100 gram lead weight is shot horizontally at the stationary wheel with an initial speed of 50.0 m/s and sticks to the rim of the wheel. What is the rotational speed of the wheel plus lead mass immediately after the collision? Give your answer in revolutions/second.


Homework Equations


L_f=(I_a + I_b)W_f



The Attempt at a Solution


I know of to find the moments of inertia I am just confused about how to find L_f. The bullet would be travelings in a linear momentum not angular. How can i find this value?
 
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  • #2
I think you should just use conservation of energy.

You can get the total moment of inertia I, the equation 0.5Iω2=0.5mv2 to get ω.
 

1. What is the definition of rotation of a rigid object about a fixed axis?

The rotation of a rigid object about a fixed axis is the circular movement of the object around a fixed point, where all points on the object move in a circular path with the same angular velocity.

2. What is the difference between rotation and translation of a rigid object?

Rotation involves the circular movement of an object around a fixed axis, while translation involves the linear movement of an object from one point to another. In rotation, the object maintains its shape and size, while in translation, the object may change its position, shape, or size.

3. How is the angular velocity of a rigid object calculated during rotation?

The angular velocity of a rigid object during rotation is calculated by dividing the change in angle by the change in time. It is usually measured in radians per second (rad/s).

4. What is the moment of inertia in rotational motion?

The moment of inertia in rotational motion is a measure of the object's resistance to rotational motion. It depends on the mass and distribution of mass of the object and is calculated by multiplying the mass of each particle by the square of its distance from the axis of rotation.

5. How is angular momentum conserved during rotational motion?

In rotational motion, angular momentum is conserved, meaning that it remains constant as long as there are no external torques acting on the object. This is similar to the conservation of linear momentum in translational motion, where momentum remains constant unless acted upon by an external force.

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