How Far Does an Object Travel on a 4m Diameter Circle with a 45 Degree Shift?

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SUMMARY

An object traveling along a circular path with a diameter of 4 meters and a 45-degree angular shift covers a distance of 1.6 meters. The solution utilizes the circumference formula, where the full circumference is calculated as π times the diameter (π * 4m). To find the distance for a 45-degree shift, the total circumference is divided by 8, resulting in the distance traveled being 1.6 meters. This method confirms that the calculations align with the principles of circular motion.

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  • Understanding of circular motion and geometry
  • Familiarity with the circumference formula (C = πd)
  • Basic knowledge of angle measurement in degrees
  • Ability to perform simple arithmetic operations
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  • Learn how to derive the circumference formula
  • Explore problems involving angular displacement and distance
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Homework Statement


An object travels in a circular trajectory that has a diameter of 4m. From start to finish the change in the angle of movement is 45 degrees. How far has the object travelled?


Homework Equations


Circumference formula



The Attempt at a Solution


I started by drawing out a circle and filling in the info given. From what was supplied in the question, I decided to use the circumference formula and then divide the answer obtained by 8 to take into account the change of angle. The answer I came up with was 1.6m. I'm not sure if this is correct because I'm not supposed to have to use a calculator to come up with the answer, so I'm not sure if I'm doing something wrong. If anyone can point out any mistakes I could've made it would be greatly appreciated, thanks in advance.
 
Physics news on Phys.org
In 360 degrees it travels πd meters
in 45 degrees how far does it go??
 

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