Rotational Motion, Rolling Motion

In summary, a 320 kg motorcycle with two 52 cm diameter wheels, each with a rotational inertia of 2.1 kg*m^2, and a 75 kg rider coasting at 85km/hr on a flat road encounters a hill. Using the Conservation of Energy, the question is posed: what vertical height will the cycle reach if it rolls up the hill with no applied power and no significant internal friction? The last two terms in the equation are due to the two wheels on the motorcycle.
  • #1
mateomy
307
0
Im looking over an example that was given in class that I jotted down in my notes; the question posed was...A 320 kg motorcycle includes two wheels each of which is 52 cm in diameter and has rotational inertia 2.1 kg*m^2. The cycle and its 75 kg rider are coasting at 85km/hr on a flat road when they encounter a hill. If the cycle rolls up the hill with no applied power and no significant internal friction, what vertical height will it reach?


So anyway...professor used the Conservation of Energy...

[tex]
Mgh= \frac{1}{2}Mv^2 + \frac{1}{2}I\omega^2 + \frac{1}{2}I\omega^2
[/tex]

Im just confused on the last two terms. Is there 2 of them because of the two wheels?
 
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  • #2
mateomy said:
Im just confused on the last two terms. Is there 2 of them because of the two wheels?

Yes.

ehild
 

Related to Rotational Motion, Rolling Motion

1. What is rotational motion?

Rotational motion is the movement of an object around a fixed axis or point. This type of motion can be observed in objects such as spinning tops, wheels, and planets in orbit.

2. What is the difference between rotational motion and rolling motion?

Rotational motion refers to the movement of an object around a fixed axis, while rolling motion refers to the combination of translational and rotational motion. In rolling motion, the object moves both forward and rotates around its own axis.

3. How is rotational motion measured?

Rotational motion is measured in units of degrees, radians, or revolutions per second. These measurements can be obtained using instruments such as protractors or rotational motion sensors.

4. What factors affect the speed of rolling motion?

The speed of rolling motion is affected by the radius of the rolling object, the force applied to it, and the surface it is rolling on. Objects with larger radii and greater forces applied will have a higher rolling speed, while rough surfaces may slow down the motion.

5. What are some real-life examples of rolling motion?

Some real-life examples of rolling motion include rolling a ball down a hill, driving a car, and the rotation of the Earth on its axis. This type of motion is also used in sports such as bowling and curling.

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