A medical centrifuge starting from rest is accelerated at a constant uniform rate of 5 rad s ⁻² . The time taken by the centrifuge to reach a rotational speed of 3000 rpm is:

Step-by-step solution

Given, initial angular speed ₀ = 0 Angular acceleration = 5 rad s ⁻² Final angular speed = 3000 rpm First, convert the final angular speed into rad s ⁻¹ : = 3000 2 60 rad s ⁻¹ = 100 rad s ⁻¹ Using the first equation of rotational kinematics: = ₀ + t 100 = 0 + (5 ) t t = 100 5 = 20 s Answer: 20 s