Question

A disk, with a radius of 0.25 m, is to be rotated like a merry-go-round through 800 rad, starting from rest, gaining angular speed at the constant rate A1 through the first 400 rad and then losing angular speed at the constant rate -A1 until it is again at rest. The magnitude of the centripetal acceleration of any portion of the disk is not to exceed 400 m/s2. (a) What is the least time required for the rotation? (b) What is the corresponding value of A1 ?

Name: a disk with a radius of 025 m is to be rotated like a merry go round through 800 rad starting from rest gaining angular speed at the constant rate a1 through the first 400 rad and then losin 75488
Uploaded: 2022-06-16T04:03:03-08:00
Duration: 3 min 55 s
Channel: Abid Hussain
Description: a disk with a radius of 025 m is to be rotated like a merry go round through 800 rad starting from rest gaining angular speed at the constant rate a1 through the first 400 rad and then losin 75488

          A disk, with a radius of 0.25 m, is to be rotated like a
merry-go-round through 800 rad, starting from rest, gaining angular
speed at the constant rate A1 through the first 400 rad and
then losing angular speed at the constant rate -A1 until it is
again at rest. The magnitude of the centripetal acceleration of any
portion of the disk is not to exceed 400 m/s2. (a) What is the
least time required for the rotation? (b) What is the corresponding
value of A1 ?

Added by Andrew A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Abid Hussain

06/16/2022

Step 1

25\] \[\omega = \sqrt{\frac{400}{0.25}} = 40 \text{ rad/s}\] ** Show more…

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A disk, with a radius of 0.25 m, is to be rotated like a merry-go-round through 800 rad, starting from rest, gaining angular speed at the constant rate A1 through the first 400 rad and then losing angular speed at the constant rate -A1 until it is again at rest. The magnitude of the centripetal acceleration of any portion of the disk is not to exceed 400 m/s2. (a) What is the least time required for the rotation? (b) What is the corresponding value of A1 ?