Kinetic Energy rotational motion problem, help please

In summary, the problem involves a 2.4 kg cylinder rolling without slipping down a ramp that is 0.62 m high and 5.0 m long. The radius of the cylinder is 0.11 m and its length is 0.50 m. The questions are: (a) what is the total kinetic energy of the cylinder when it reaches the bottom of the ramp, (b) what is its rotational kinetic energy, and (c) what is its translational kinetic energy. The equations used to solve this problem are klinear = 1/2mv^2 and krotation = 1/2Iw^2. The key to solving this problem is understanding which quantity is conserved.
  • #1
tonedog12345
3
0
Kinetic Energy rotational motion problem, help please!

Homework Statement



A 2.4 kg cylinder (radius = 0.11 m, length = 0.50 m) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.62 m high and 5.0 m long.

(a) When the cylinder reaches the bottom of the ramp, what is its total kinetic energy?
(b) What is its rotational kinetic energy?
(c) What is its translational kinetic energy?

Homework Equations



klinear = 1/2mv^2
krotation = 1/2Iw^2

The Attempt at a Solution



tried plugging in 2.4 for mass but have no clue how to get the speed, when its not given.
 
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  • #2


HINT: Something is conserved.
 
  • #3


ummm that really doesn't help me..
 
  • #4


tonedog12345 said:
ummm that really doesn't help me..
Which quantity do you think is conserved?
 

1. What is rotational kinetic energy?

Rotational kinetic energy is the energy possessed by a rotating object due to its motion. It is calculated as 1/2 times the moment of inertia of the object times its angular velocity squared.

2. How is rotational kinetic energy different from linear kinetic energy?

Rotational kinetic energy involves the rotation of an object around an axis, while linear kinetic energy involves the movement of an object in a straight line. The formulas for calculating each type of kinetic energy are also different.

3. How do I calculate the moment of inertia for a rotating object?

The moment of inertia depends on the mass and distribution of mass of an object. For a point mass rotating around an axis, the moment of inertia is equal to its mass times the distance squared from the axis. For more complex objects, the moment of inertia can be calculated using integration.

4. Can rotational kinetic energy be converted into other forms of energy?

Yes, rotational kinetic energy can be converted into other forms of energy, such as potential energy or thermal energy. This can occur when the rotating object does work on another object or experiences friction, respectively.

5. How does rotational kinetic energy affect the stability of an object?

Rotational kinetic energy can impact the stability of an object by changing its center of mass and altering the forces acting on it. A rotating object with a high moment of inertia will be more stable, while an object with a low moment of inertia will be more prone to tipping over.

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