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Solved: Describe how you could use part (b) of Table 9.2
Chapter 9, Problem 13DQ(choose chapter or problem)
A turntable rotates with a constant \(2.25 \mathrm{rad} / \mathrm{s}^{2}\) angular acceleration. After \(4.00 \mathrm{~s}\) it has rotated through an angle of \(60.0 \mathrm{rad}\). What was the angular velocity of the wheel at the beginning of the \(\text { 4.00-s }\) interval?
Equation Transcription:
Text Transcription:
2.25 rad/s^2
4.00 s
60.0 rad
4.00-s
Questions & Answers
QUESTION:
A turntable rotates with a constant \(2.25 \mathrm{rad} / \mathrm{s}^{2}\) angular acceleration. After \(4.00 \mathrm{~s}\) it has rotated through an angle of \(60.0 \mathrm{rad}\). What was the angular velocity of the wheel at the beginning of the \(\text { 4.00-s }\) interval?
Equation Transcription:
Text Transcription:
2.25 rad/s^2
4.00 s
60.0 rad
4.00-s
ANSWER:
Solution 13DQ
Step 1:
Consider a slender rod of length L and mass M. The moment of inertia of the slender rod about an axis passing through one end,
I = ⅓ ML2
Consider two rods having lengths a and b are joined.
Moment of inertia of this system through its center of mass, Icm = 1/12 M (a2 + b2)
Where, M - Ma