Why Is My Calculation of the Center of Mass for a Uniform Wire Incorrect?

[toastie]

Homework Statement

Find x coordinant of the the center of mass point of a uniform wire that subtends an arc of 22 degrees if the radius of the circular arc is 1m.

Homework Equations

I begin with: length = r*theta

Therefore M = density*r*theta

dm = density*ds = denisty*r8*d(alpha)

x= (1/M)*[integral of r*cos(alpha)*denisty*r*d(alpha) from (theta/2) to -(theta/2)

Thus, I get
x = (2r/theta)*sin(theta/2)

The Attempt at a Solution

I keep getting an answer of 0.01735 m. However, the online homework is telling me that it is not the correct answer.

I am not sure where in the above calculations I would have messed up. Could someone please point out where I have made an error?

Thank you in advance.

 

[toastie]

okay nevermind I was forgetting to convert theta to radians.

 

[nlightner]

It seems like you have approached the problem correctly. However, the value of x that you have calculated may not be the exact solution because of rounding errors. I would suggest double-checking your calculations and rounding to more decimal places to get a more precise answer. Additionally, make sure that you are using the correct units for all your values, as that can also affect the final result. If you are still having trouble, it may be helpful to consult with a classmate or your instructor for further clarification. Keep up the good work!