A disc rotates about its axis with a uniform angular acceleration of 4 rad/s ^2 . Determine the radial and tangential accelerations of a particle located 1 cm from the axis at the end of the first second after the disc begins rotating.

Step-by-step solution

Given initial angular velocity ₀ = 0 and angular acceleration = 4 rad/s ^2 . The angular velocity at time t = 1 s is given by: = ₀ + t = 0 + 4 1 = 4 rad/s The radial acceleration a_r of a particle at a distance r = 1 cm from the axis is: a_r = ^2 r = (4)^2 1 = 16 cm/s ^2 The tangential acceleration a_t of the particle is: a_t = r = 4 1 = 4 cm/s ^2