Acceleration at the center of circle

[songoku]

Homework Statement

A circle with radius 2 cm rotates at 1000 rpm and the acceleration at the rim is 2 ms^-2.
a. What is the acceleration at the center ?
b. What is the acceleration at 1 cm from the center ?

Homework Equations

The Attempt at a Solution

a. The acceleration will be zero because the center doesn't move?

b. a = ω²r = 2πf*r = 2π * 1000/60 * 2 x 10^-2 = 2/3 π ms^-2. Is this right?

Thanks

 

[willem2]

Your answer for a seems to be right. The problem is that the acceleration at the rim of a circle with radius 2 cm that rotates with 1000 rpm is more than 100 times as high as 2 m s^{-2}
I don't see why the acceleration is given at all in the problem.

For part b you use \omega instead of \omega^2 and a radius of 2 cm instead of 1 cm

 

[songoku]

Hi willem

Yeah, my mistake...now I know it's not a good idea to post question at 2 AM..

I also agree that the information given doesn't match the theoretical calculation...something wrong with the question...

Thanks a lot !