Revolutions of a Sphere on an Incline

AI Thread Summary
To determine the number of revolutions a sphere makes while rolling down an incline, first calculate the length of the incline using the height and angle, resulting in approximately 11.91 meters. Next, apply the conservation of energy principle, equating potential energy at the top with kinetic energy at the bottom, considering both translational and rotational motion. The sphere's moment of inertia and rolling without slipping condition will be essential in calculating its final speed. Finally, use the sphere's circumference to find the total number of revolutions made during the descent. The discussion emphasizes the importance of energy conservation in solving the problem.
yankeekd25
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Homework Statement


A sphere of radius 0.19 meters starts from rest at the top of an incline at a height of 7 meters. The angle of the incline is 36 degrees. How many revolutions does the sphere make as it rolls to the end of the incline without slipping?
 
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You need to post an attempt. Start by finding the distance the sphere must roll.
 
rock.freak667 said:
You need to post an attempt. Start by finding the distance the sphere must roll.

x (length of incline)= 7/ sin 36 = 11.91 m.

What is the next step please? Do I need to do something with conservation of energy?
 
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