An automobile is traveling at v = 32 m/s and has wheels with radius R = 22 cm. Assuming that the wheels are disks which roll without slipping and have a mass m = 11 kg, what is the kinetic energy of rotation of the four tires in Joules?
w = v/R
The kinetic energy for each tire is then
KE = 1/2 Iw^2
There are four wheels.
The Attempt at a Solution
I tried converting 32 m/s to rad/s for angular velocity. So 32m/s divided by .22m (radius) to get 145.45.
Then I squared that answer. I multiplied it by .5.
Then for I, I used mr^2 and got .5324.
I got 5631.648. Tried multiplying that by four and it didn't work.
I've tried entering
3 Incorrect. (Try 1) 5630
5 Incorrect. (Try 2) 5.6x10^2
7 Incorrect. (Try 3) 2.3x10^4
9 Incorrect. (Try 4) 22500
None of these were correct. I'm wondering where I messed up....