Question

Starting fiom rent, a DVD sheadly accelemses to 540 rpu in 1.0 s, rotales at this anpular speod for 3.0 s. than slosdly docelerales to a hail in 20 s. How many revolutions does zmake?

Answer 1

To find the total revolutions made by the DVD, calculate the number of revolutions for each phase of its motion—acceleration, constant speed, and deceleration—and sum them.

Step-by-step explanation:

The student's question involves calculating the total revolutions a DVD makes based on its angular velocity and deceleration periods. Since it accelerates uniformly to 540 rpm in 1.0 s, rotates at this speed for 3.0 s, and decelerates uniformly to a halt in 20 s, we need three separate calculations.

First, using angular acceleration, we find the revolutions during acceleration. Next, we calculate revolutions during constant speed. Finally, we use deceleration to find the final part of revolutions. Add these together for the total revolutions.