A wheel is mounted on a stationary axle that lies along the z axis. The center of the wheel is at <0, 0, 0> m.  It is rotating with a constant angular speed of 31 rad/s. At time t = 4.40 s a red dot painted on the rim of the wheel is located at <0.20, 0, 0> m.  At time t = 4.48 s, what is the location of the red dot? (Assume that the wheel rotates in the counterclockwise direction. Express your answer in vector form.)

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Asked Nov 21, 2019
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A wheel is mounted on a stationary axle that lies along the z axis. The center of the wheel is at <0, 0, 0> m.  It is rotating with a constant angular speed of 31 rad/s. At time t = 4.40 s a red dot painted on the rim of the wheel is located at <0.20, 0, 0> m.  At time t = 4.48 s, what is the location of the red dot? (Assume that the wheel rotates in the counterclockwise direction. Express your answer in vector form.)

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Expert Answer

Step 1

A wheel is rotating about the z-axis.

Angular velocity,

31 rad/s
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31 rad/s

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Step 2
de
w=
dt
de
=31rad/s
dt
Ae-(31 rad/s)x Ar
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de w= dt de =31rad/s dt Ae-(31 rad/s)x Ar

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Step 3

Position of the red about on ...

(0.20,0,0) m
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(0.20,0,0) m

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Angular Motion

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