1. A motor gives disk A a counter-clockwise angular acceleration whose magnitude is a = 1.5 t (rad/s2) where t is in seconds. (Yes, that means the disk is slowing down.) If the disk has an initial velocity of @= 6 rad/s, what is the velocity and acceleration of the bucket at 1=2 s? w = 6 rad/s A 0.15 m B
1. A motor gives disk A a counter-clockwise angular acceleration whose magnitude is a = 1.5 t (rad/s2) where t is in seconds. (Yes, that means the disk is slowing down.) If the disk has an initial velocity of @= 6 rad/s, what is the velocity and acceleration of the bucket at 1=2 s? w = 6 rad/s A 0.15 m B
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![**Problem Statement:**
1. A motor gives disk \( A \) a counter-clockwise angular acceleration whose magnitude is \( \alpha = 1.5t \) (rad/s\(^2\)) where \( t \) is in seconds. (Yes, that means the disk is slowing down.) If the disk has an initial velocity of \( \omega_0 = 6 \) rad/s, what is the velocity and acceleration of the bucket at \( t = 2 \) s?
**Diagram Description:**
The diagram shows a disk labeled \( A \) with a string wrapped around it, which is attached to a bucket labeled \( B \). Disk \( A \) has a radius of 0.15 m. An initial angular velocity \(\omega_0 = 6\) rad/s is specified, and the string unwinds as the disk rotates counter-clockwise. The angular motion of the disk translates into the linear motion of the bucket.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbba194c6-539e-4b57-8637-e24c59390e39%2Fbc9b4a3b-5857-4c8c-ba4c-db156ff477d9%2Fcf65sx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
1. A motor gives disk \( A \) a counter-clockwise angular acceleration whose magnitude is \( \alpha = 1.5t \) (rad/s\(^2\)) where \( t \) is in seconds. (Yes, that means the disk is slowing down.) If the disk has an initial velocity of \( \omega_0 = 6 \) rad/s, what is the velocity and acceleration of the bucket at \( t = 2 \) s?
**Diagram Description:**
The diagram shows a disk labeled \( A \) with a string wrapped around it, which is attached to a bucket labeled \( B \). Disk \( A \) has a radius of 0.15 m. An initial angular velocity \(\omega_0 = 6\) rad/s is specified, and the string unwinds as the disk rotates counter-clockwise. The angular motion of the disk translates into the linear motion of the bucket.
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