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In figure wheel A of radius rA = 10 cm i...

In figure wheel `A` of radius `r_A = 10 cm` is coupled by belt `B` to wheel `C` of radius `r_C = 25 cm`. The angular speed of wheel `A` is increased from rest at a constant rate of `1.6 rad//s^2`. Find the time needed for wheel `C` to reach an angular speed of `12.8 rad//s`, assuming the belt does not slip.
.

A

4 s

B

8 s

C

12 s

D

16 s

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The correct Answer is:
D
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In figure whell A of radius r_A = 10 cm is coupled by belt B to whell C of radius r_C = 25 cm . The angular speed of whell A is increased from rest at a constant rate of 1.6 rad//s^2 . Find the time needed for whell C to reach an angular speed of 12.8 rad//s , assuming the belt does not slip. .

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