Bug B is crawling radially outward on the spoke of a wheel at a constant speed of 4 cm/s relative to the spoke of the wheel. The center of the wheel (Point C) is also moving to the left at 160 cm/s and accelerating at 120 cm/s². As a result, its angular speed is 8 =4 rad/s and its angular acceleration is 6 = 3 rad/s². At that same time the bug is 30 cm from the center of the wheel and is directly above the center of the wheel. a. What is the velocity vector of the bug relative to the ground at that particular time? b. What is the acceleration vector of the bug relative to the ground at that particular time?

Bug B is crawling radially outward on the spoke of a wheel at a constant speed of 4 cm/s relative to the spoke of the wheel. The center of the wheel (Point C) is also moving to the left at 160 cm/s and accelerating at 120 cm/s². As a result, its angular speed is 8 =4 rad/s and its angular acceleration is 6 = 3 rad/s². At that same time the bug is 30 cm from the center of the wheel and is directly above the center of the wheel. a. What is the velocity vector of the bug relative to the ground at that particular time? b. What is the acceleration vector of the bug relative to the ground at that particular time?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Problem 1.1MA

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Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

1. Bug B is crawling radially outward on the spoke of a wheel at a constant speed of 4
cm/s relative to the spoke of the wheel. The center of the wheel (Point C) is also moving
to the left at 160 cm/s and accelerating at 120 cm/s². As a result, its angular speed is
8 =4 rad/s and its angular acceleration is = 3 rad/s². At that same time the bug is 30
cm from the center of the wheel and is directly above the center of the wheel.
a. What is the velocity vector of the bug relative to the ground at that particular
time?
b. What is the acceleration vector of the bug relative to the ground at that
particular time?
8 = 4 rad/s
Ö = 3 rad/s²
→X
Vc = 160 cm/s
ac
=
V₁ = 4 cm/s
120 cm/s²
TAY
30 cm
↓g

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