A disk of radius 26.0 cm is free to turn about an axle perpendicular to it through its center. It has very thin but strong string wrapped around its rim, and the string is attached to a ball that is pulled tangentially away from the rim of the disk (Figure 1). The pull increases in magnitude and produces an acceleration of the ball that obeys the equation a (t) = At, where t is in seconds and A is a constant. The cylinder starts from rest, and at the end of the third second, the bal's acceleration is 2.30 m/s?.

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18th Edition
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter10: Fixed-axis Rotation
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A disk of radius 26.0 cm is free to turn about an axle perpendicular
to it through its center. It has very thin but strong string wrapped
around its rim, and the string is attached to a ball that is pulled
tangentially away from the rim of the disk (Figure 1). The pull
increases in magnitude and produces an acceleration of the ball that
obeys the equation a (t) = At, where t is in seconds and A is a
Find A.
Express your answer in meters per second cubed.
Γ ΑΣφ.
?
constant. The cylinder starts from rest, and at the end of the third
second, the ball's acceleration is 2.30 m/s?.
A =
m/s3
Submit
Request Answer
Part B
Express the angular acceleration of the disk as a function of time.
Express your answer in radians per second cubed multiplied by t.
?
a(t) =
(rad/s)t
Submit
Request Answer
Part C
How much time after the disk has begun to turn does it reach an angular speed of 18.0 rad/s?
Figure
< 1 of 1 >
Express your answer in seconds.
V AEO
ΑΣφ
Ball
t =
S
Pull
Submit
Request Answer
Disk
Part D
Through what angle has the disk turned just as it reaches 18.0 rad/s? (Hint: See Section 2.6 in the textbook.)
Express your answer in radians.
Transcribed Image Text:A disk of radius 26.0 cm is free to turn about an axle perpendicular to it through its center. It has very thin but strong string wrapped around its rim, and the string is attached to a ball that is pulled tangentially away from the rim of the disk (Figure 1). The pull increases in magnitude and produces an acceleration of the ball that obeys the equation a (t) = At, where t is in seconds and A is a Find A. Express your answer in meters per second cubed. Γ ΑΣφ. ? constant. The cylinder starts from rest, and at the end of the third second, the ball's acceleration is 2.30 m/s?. A = m/s3 Submit Request Answer Part B Express the angular acceleration of the disk as a function of time. Express your answer in radians per second cubed multiplied by t. ? a(t) = (rad/s)t Submit Request Answer Part C How much time after the disk has begun to turn does it reach an angular speed of 18.0 rad/s? Figure < 1 of 1 > Express your answer in seconds. V AEO ΑΣφ Ball t = S Pull Submit Request Answer Disk Part D Through what angle has the disk turned just as it reaches 18.0 rad/s? (Hint: See Section 2.6 in the textbook.) Express your answer in radians.
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