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Units And Measurement

Question
CBSEENPH11017787

A disc rolls down the inclined plane of 30°. Find the acceleration of cylinder. Also find the angular acceleration of disc. The radius of disc is 10cm.

Solution
The acceleration of disc rolling down the inclined plane is given by,
straight alpha equals fraction numerator straight g space sinθ over denominator 1 plus begin display style 1 over mr squared end style end fraction
Here comma

space space space space straight theta equals 30 degree comma space space space space space straight I equals 1 half mr squared

therefore space space space straight alpha equals fraction numerator straight g space sin space 30 degree over denominator 1 plus begin display style 1 half end style end fraction equals straight g over 3 equals 3.27 space straight m divided by straight s squared
The angular acceleration of disc is, 
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