Final Velocity of 75mm Cylinder: 8.07m/s

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SUMMARY

The final velocity of a solid cylinder with a diameter of 75mm and a mass of 1.4kg moving down a slope of 25 degrees over a distance of 11.8m is calculated to be 8.07 m/s. To verify this result, it is essential to apply the relevant physics equations, including those involving the Moment of Inertia. The discussion emphasizes the importance of showing all calculations and units to ensure clarity and correctness in the solution process.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the Moment of Inertia for solid cylinders
  • Knowledge of kinematic equations
  • Basic trigonometry for slope calculations
NEXT STEPS
  • Review the equations for calculating final velocity in rotational motion
  • Study the Moment of Inertia for various shapes, focusing on cylinders
  • Learn how to apply energy conservation principles in inclined plane problems
  • Explore the effects of initial velocity on final velocity calculations
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Physics students, mechanical engineers, and anyone interested in understanding the dynamics of rolling objects on inclined planes.

HNCMATHS
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Hi everyone, here is one I am really struggling with...

1.Determine the final velocity of a solid cylinder of a 75mm diameter with a mass of 1.4kg if it is moving along a slope of 25 degrees. The total distance traveled down the slop is 11.8m

The answer that I reach is a a final velocity of 8.07 is this correct ?
 
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HNCMATHS said:
Hi everyone, here is one I am really struggling with...

1.Determine the final velocity of a solid cylinder of a 75mm diameter with a mass of 1.4kg if it is moving along a slope of 25 degrees. The total distance traveled down the slop is 11.8m

The answer that I reach is a a final velocity of 8.07 is this correct ?

You need to show us the relevant equations and your work, not just shotgun an answer and ask us to do the work to figure out if it's right.

Show us the relevant equations, including the ones that have the Moment of Inertia in them.

Show us how you calculated the answer you got. Please include units in all of your calculations and definitions.
 
Post 1 says a cylinder is moving down a slope. Does that mean the cylinder has a nonzero initial velocity? Or does it mean the cylinder starts from rest? If the cylinder has a nonzero initial velocity, wouldn't the initial velocity need to be given in the problem statement?
 

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