6. A ball is rotating about the origin with a constant radius of 10cm. a. For the values of 0, 0, and I shown on the figure, what are the radial (a,) and theta (a) components of the acceleration of the ball. b. What is the acceleration vector of the ball expressed in rectangular coordinates, in terms of i and j unit vectors? Y
6. A ball is rotating about the origin with a constant radius of 10cm. a. For the values of 0, 0, and I shown on the figure, what are the radial (a,) and theta (a) components of the acceleration of the ball. b. What is the acceleration vector of the ball expressed in rectangular coordinates, in terms of i and j unit vectors? Y
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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Transcribed Image Text:6. A ball is rotating about the origin with a constant radius of 10cm.
a.
For the values of 0, 0, and O shown on the figure, what are the radial (a,) and theta (a)
components of the acceleration of the ball.
b. What is the acceleration vector of the ball expressed in rectangular coordinates, in terms of i
and j unit vectors?
Y
r = 10cm
10 = -40°
X
0 = 4 rad/s
Ö = 6 rad/s²
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Follow-up Question
It should be -160 cm/s^2
Transcribed Image Text:Problem G
Given:
r=10cm
-r0²
av=- re
0 = -40°
a. are the
Componets of the acceleration of the ball
r=10cm
Z0-4
=
0-(10)(4)2
= -160 cm/s²
:0 = -40°
0 = 4 rad/s
Ö= 6 rad 15²
= 4 rad/s
Ö= 6 rad/5²
ao = r
=
50°
ro + 2r0
(10) (6) + 2(0) (4)
= 60 cm/5²
b. What is the acceleration vector of the ball
expressed in rectangular coordinates ?
-40%!
Y
x=-122.5671 i
y = 102.8460
V
(C~/5²)
= 30 i
y = 51.961 j
(cm/53)
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