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Determine the time needed for the load at "B" to attain a speed of 15 m/s, starting from rest, if the cable is drawn into the motor with an acceleration of a = 0.6t m/s² where "t" is the time in seconds.

Determine the time needed for the load at "B" to attain a speed of 15 m/s, starting from rest, if the cable is drawn into the motor with an acceleration of a = 0.6t m/s² where "t" is the time in seconds.

Elements Of Electromagnetics
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:** Determine the time needed for the load at "B" to attain a speed of 15 m/s, starting from rest, if the cable is drawn into the motor with an acceleration of \( a_A = 0.6t \, \text{m/s}^2 \) where "t" is the time in seconds. **Diagram Explanation:** The diagram shows a pulley system with a motor driving a wheel at point "A." The cable from the motor pulls a load at point "B." The velocity of the motor is indicated by \( v_A \) and the velocity of the load is indicated by \( v_B \). The motor accelerates the cable, causing the load to move upwards. **Solution:** The task is to calculate the time "t" when the load "B" reaches a speed of 15 m/s, given the acceleration \( a_A = 0.6t \, \text{m/s}^2 \). **Answer:** The calculated time is \( t = 14.14 \, \text{s} \).
Transcribed Image Text:**Problem Statement:** Determine the time needed for the load at "B" to attain a speed of 15 m/s, starting from rest, if the cable is drawn into the motor with an acceleration of \( a_A = 0.6t \, \text{m/s}^2 \) where "t" is the time in seconds. **Diagram Explanation:** The diagram shows a pulley system with a motor driving a wheel at point "A." The cable from the motor pulls a load at point "B." The velocity of the motor is indicated by \( v_A \) and the velocity of the load is indicated by \( v_B \). The motor accelerates the cable, causing the load to move upwards. **Solution:** The task is to calculate the time "t" when the load "B" reaches a speed of 15 m/s, given the acceleration \( a_A = 0.6t \, \text{m/s}^2 \). **Answer:** The calculated time is \( t = 14.14 \, \text{s} \).
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