Question

A motor part at a distance of 1.5 m from the motor’s axis of rotation has a constant angular acceleration of 0.25 rad/s² . Find the magnitude of its linear acceleration at the instant when its angular speed is 0.5 rad/s.

Answer 1

Data : r = 1.5 m, α = 0.25 rad/s², 

ω = 0.5 rad/s² a_r = ω²r = (0.5)² (1.5) 

= 0.25 × 1.5 = 0.375 m/s² a_t 

= αr = 0.25 × 1.5 = 0.375 m/s² 

The linear acceleration,