PLEASE HELP!!!! Exercise 9.23 A flywheel with a radius of 0.300 m starts from re
ID: 1403991 • Letter: P
Question
PLEASE HELP!!!!
Exercise 9.23
A flywheel with a radius of 0.300 m starts from rest and accelerates with a constant angular acceleration of 0.500 rad/s2 .
Part A
Compute the magnitude of the tangential acceleration of a point on its rim at the start.
0.150
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Correct
Part B
Compute the magnitude of the radial acceleration of a point on its rim at the start.
0
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Correct
Part C
Compute the magnitude of the resultant acceleration of a point on its rim at the start.
0.150
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Answer Requested
Part D
Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 .
0.150
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Correct
Part E
Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0 .
1.022
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Incorrect; Try Again; 3 attempts remaining
Part F
This question will be shown after you complete previous question(s).
Part G
Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 120.0 .
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Part H
Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 120.0 .
SubmitMy AnswersGive Up
Part I
This question will be shown after
Exercise 9.23
A flywheel with a radius of 0.300 m starts from rest and accelerates with a constant angular acceleration of 0.500 rad/s2 .
Part A
Compute the magnitude of the tangential acceleration of a point on its rim at the start.
atan =0.150
m/s2SubmitMy AnswersGive Up
Correct
Part B
Compute the magnitude of the radial acceleration of a point on its rim at the start.
arad =0
m/s2SubmitMy AnswersGive Up
Correct
Part C
Compute the magnitude of the resultant acceleration of a point on its rim at the start.
a =0.150
m/s2SubmitMy AnswersGive Up
Answer Requested
Part D
Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 .
atan =0.150
m/s2SubmitMy AnswersGive Up
Correct
Part E
Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0 .
arad =1.022
m/s2SubmitMy AnswersGive Up
Incorrect; Try Again; 3 attempts remaining
Part F
This question will be shown after you complete previous question(s).
Part G
Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 120.0 .
atan = m/s2SubmitMy AnswersGive Up
Part H
Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 120.0 .
arad = m/s2SubmitMy AnswersGive Up
Part I
This question will be shown after
Explanation / Answer
here,
radius of the wheel , r = 0.3 m
angular accelration , alpha = 0.5 rad/s^2
the magnitude of the tangential acceleration of a point on its rim at the start,at = r * alpha
at = 0.5 * 0.3
at = 0.15 m/s^2
the magnitude of the tangential acceleration of a point on its rim at the start is 0.15 m/s^2
part B)
the radial accelration , ar = w^2*r
as the rim is at rest at start,w=0
therefore, ar = 0
the magnitude of the radial acceleration of a point on its rim at the start is 0
part c)
the magnitude of the resultant acceleration of a point on its rim at the start, a = sqrt(ar^2 + at^2)
a = 0.15 m/s^2
the magnitude of the resultant acceleration of a point on its rim at the start is 0.15 m/s^2
part d)
the magnitude of the tangential acceleration of a pointon its rim after it has turned through 60.0 degree ,at = r * alpha
at = 0.5 * 0.3
at = 0.15 m/s^2
the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 degree is 0.15 m/s^2
part e)
when theta = 60 degree
theta = 1.046 rad
initial angular velocity , w0 = 0
let the final velocity be w
using third equation of motion
w^2 - w0^2 = 2 * alpha * theta
w^2 = 2 * 1.046 * 0.5
w = 1.02 rad/s
radial accelration , ar' = w^2 * r
ar' = 1.02^2 * 0.3
ar = 0.314 m/s^2
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