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

AI Thread Summary
An object traveling along a circular path with a diameter of 4 meters and a 45-degree angle shift covers a specific distance. The circumference of the circle is calculated using the formula πd, which results in a total circumference of approximately 12.57 meters. To find the distance traveled for a 45-degree shift, the circumference is divided by 8, yielding a distance of 1.57 meters. The initial calculation of 1.6 meters is close but slightly off due to rounding. The discussion seeks clarification on the method and accuracy of the calculations without the use of a calculator.
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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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