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CBSE Class 11-science Answered

A roulette coming to rest turning 3 revolutions in 18s. What is its deceleration? How many revolutions does it turn while coming to rest?
Asked by lekhakarthikeyan | 02 Aug, 2017, 10:14: PM
answered-by-expert Expert Answer
begin mathsize 12px style The space roulette space comes space to space rest.
rightwards arrow straight omega subscript straight i space equals space 3 space rev divided by straight s space and space straight omega subscript straight f space equals space 0 space and space straight t space equals space 18 space straight s
Using space the space formula space
Angular space acceleration space equals space fraction numerator Change space in space angular space acceleration over denominator Time end fraction space equals space fraction numerator straight omega subscript straight f space minus space straight omega subscript 0 over denominator straight t end fraction
On space substituting space and space calculating comma space we space get
straight alpha space equals space minus space 0.167 space rev divided by straight s squared
Rotations space before space it space will space come space to space rest space is space calculated space using space the space formula
straight theta space equals space straight omega subscript straight i straight t space plus space 1 half at squared
On space substituting space and space calculating comma space we space get
straight theta space equals space 27 space rev
end style
Answered by Yashvanti Jain | 03 Aug, 2017, 12:57: PM
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