You are designing a rotating metal flywheel that will be used to store energy. the flywheel is to be a uniform disk with radius 27.0 cm . starting from rest at t = 0, the flywheel rotates with constant angular acceleration 3.00 rad/s2 about an axis perpendicular to the flywheel at its center if the flywheel has a density (mass per unit volume) of 8600 kg/m3, what thickness must it have to store 800 j of kinetic energy at t = 8.00 s?

For the below questions, consider a consumer that consumes two goods, x and z with the following utility function. u with bar on top space equals space x to the power of 1 third end exponent z to the power of 2 over 3 end exponent suppose initial values for income and the prices of goods x and z are y equals 90, p subscript x equals space 10, and p subscript z equals 15 respectively, then the price of good x falls to syntax error from line 1 column 89 to line 1 column 100. unexpected '\'.. what is the magnitude of the total effect