Distance traveled by block attached to cylinder

In summary, the conversation is about finding the distance traveled by a mass attached to a cylinder with a given angular acceleration and mass. The problem is to find the distance traveled between 0.51s and 0.71s assuming the motion started at 0s. The suggested method is to use the angular form of displacement for constant acceleration and find the difference between the total distances traveled at the two given times. The issue is that the equation for displacement requires an initial velocity, which is not provided.
  • #1
melissa_y
17
0
Ok so i found the angular accleration when the block of the mass is attached to the cylinder to be 70.03 when the mass weighs .47 kg. But i am having trouble finding the distance it has traveled from 0.51 s to .71 s assuming that at 0s the motion has begun. Does anyone have any ideas?
 
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  • #2
If the angular acceleration is constant, use the angular form of displacement for constant acceleration. The distance between 0.51s and 0.71s is the difference between the total distance traveled in 0.51s and 0.71s
 
  • #3
i understand that you should find the distances of each time and subtract to find the distance traveled within that time but I don't understand how to find the velocity because the equation to find displacement requires aninitial velocity.
 
  • #4
State the entire problem then
 

1. What is the formula for calculating the distance traveled by a block attached to a cylinder?

The formula for calculating the distance traveled by a block attached to a cylinder is d = 2πr + h, where d is the distance traveled, r is the radius of the cylinder, and h is the height of the block.

2. How does the weight of the block affect the distance traveled by a block attached to a cylinder?

The weight of the block does not affect the distance traveled by a block attached to a cylinder. The distance traveled is solely determined by the radius of the cylinder and the height of the block.

3. Is the distance traveled by a block attached to a cylinder affected by the surface of the cylinder?

No, the distance traveled by a block attached to a cylinder is not affected by the surface of the cylinder. As long as the cylinder is smooth and the block can roll freely, the surface does not have an impact on the distance traveled.

4. Can the distance traveled by a block attached to a cylinder be negative?

No, the distance traveled by a block attached to a cylinder cannot be negative. The distance traveled is always a positive value, as it represents the total distance the block has rolled.

5. How does the diameter of the cylinder affect the distance traveled by a block attached to a cylinder?

The diameter of the cylinder does not have a direct impact on the distance traveled by a block attached to a cylinder. However, it indirectly affects the distance traveled as it determines the radius of the cylinder, which is a key factor in the distance calculation formula.

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