Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 9.00 s, it rotates 34.2 rad. During that time, what are the magnitudes of (a) the angular acceleration (b) What is the instantaneous angular velocity of the disk at the end of the 9.00 s? (c) With the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 9.00 s?

Question
Asked Oct 20, 2019
 

Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 9.00 s, it rotates 34.2 rad. During that time, what are the magnitudes of (a) the angular acceleration (b) What is the instantaneous angular velocity of the disk at the end of the 9.00 s? (c) With the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 9.00 s?

check_circleExpert Solution
Step 1

Given:

In 9 seconds a disc rotates 34.2 radians.

Step 2

Calculating the angular acceleration:

angular velocity wi
Angular displace ment e= 34 2 rad
lime taken, t- 9 sec
O
Ostng
Jecond eauatiou
motion,
of
ewt t
Substituting values,
34 2 O
(9)
A = o84 rad/2
help_outline

Image Transcriptionclose

angular velocity wi Angular displace ment e= 34 2 rad lime taken, t- 9 sec O Ostng Jecond eauatiou motion, of ewt t Substituting values, 34 2 O (9) A = o84 rad/2

fullscreen
Step 3

Calculating the instantaneous angular velocity at 9 seconds...

Now using First eauation of motion,
0+ (o 8429)
w = 7-56 Tad/s
Total angular displaceuut in (3secs
136 08 rad
Ang ulan dia plasenaut tu first I sees
342 rad (ini ven)
angula diaplaemeut ta nnt g sees,
Hence,
136 08 rad
१५.२ 7e६
O88
l02 Tad
t02 rad
help_outline

Image Transcriptionclose

Now using First eauation of motion, 0+ (o 8429) w = 7-56 Tad/s Total angular displaceuut in (3secs 136 08 rad Ang ulan dia plasenaut tu first I sees 342 rad (ini ven) angula diaplaemeut ta nnt g sees, Hence, 136 08 rad १५.२ 7e६ O88 l02 Tad t02 rad

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Science

Physics

Angular Motion

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add