m/s and an acceleration ap At the instant shown, the paper is being unrolled with a speed, vp = 7.5 1 m/s². If, at this instant, the outer radius of the roll is r 0.75 m, determine the angular velocity w, and acceleration as of the roll. = =
m/s and an acceleration ap At the instant shown, the paper is being unrolled with a speed, vp = 7.5 1 m/s². If, at this instant, the outer radius of the roll is r 0.75 m, determine the angular velocity w, and acceleration as of the roll. = =
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
Related questions
Question
At the instant shown, the paper is being unrolled with a speed, vp = 7.5
m/s and an acceleration ap = 1 m/s2
. If, at this instant, the outer radius of the roll is r
= 0.75 m, determine the angular velocity ωs and acceleration αs of the roll
Transcribed Image Text:### Engineering Problem Solving Process: Given, Find, Diagram, Solution
#### Problem Statement:
At the instant shown, a paper roll is being unrolled with a speed \( v_p = 7.5 \, \text{m/s} \) and an acceleration \( a_p = 1 \, \text{m/s}^2 \). If, at this instant, the outer radius of the roll is \( r = 0.75 \, \text{m} \), determine the angular velocity \( \omega_s \) and acceleration \( \alpha_s \) of the roll.
#### Diagram Explanation:
- **Diagram on the Right:**
- Shows a cylindrical roll with labels for various variables.
- \( r \): Outer radius of the roll.
- \( \theta \): Angle of rotation.
- \( \omega_s \): Angular velocity of the roll.
- \( \alpha_s \): Angular acceleration of the roll.
- \( v_p \): Linear speed of the paper being unrolled.
- \( a_p \): Linear acceleration of the paper.
This educational content is designed to aid in understanding the relationship between linear and angular motion in rotational dynamics.
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