Question

Constan A 41-cm-diameter wheel accelerates uniformly about its center from 110 rpm to 310 rpm in 5.0 Submit Previous Answers Request Answer X Incorrect; Try Again Part C after it has started Determine the tangential component of the linear acceleration of a point on the edge of the wheels accelerating Express your answer using two significant figures TEMA O ? Subme Request Answer TOVOD FOOD Next >

Answer 1

Given data The radius is, 0.41 = 0.205 m The initial angular speed is, 0 = 110 rpm = 11.519 rad/s The final angular speed is, 0, = 310rpm =310/27 = 32.46 rad/s The timeis, t= 5.0 s Using the angular kinematics equation 0, = 0, +at 32.46 = 11.519+a(5.0) a(5.0) = 20.941 a = 4.188 rad/s2 = 4.2 rad/s? The tangential acceleration is, aran = ra =(0.205) (4.188) = 0.85858 m/s2 = 0.86 m/s