A centrifuge in a medical laboratory rotates from rest to an angular speed of 3,800 rpm (revolutions per minute)while making 86.0 complete rotations.Find the time required to reach maximum speed,assuming uniform acceleration.
A)0.0423 s
B)1.36 s
C)2.72 s
D)3.14 s

Question

Quizplus · Accepted Answer

To find the time, we use the formula for angular motion: θ = 0.5 * (ω_initial + ω_final) * t. Here, θ = 86 rotations = 86 * 2π radians, ω_initial = 0, ω_final = 3800 rpm = 3800 * 2π/60 rad/s. Solving for t gives approximately 2.72 seconds.

A Centrifuge in a Medical Laboratory Rotates from Rest to an Angular