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  4. A disc, initially at rest, starts rotating about its own axis, with a constant angular acceleration of 0.2 rad/s2.The time taken by the disc to rotate by 10 rad is (in second)

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Q. A disc, initially at rest, starts rotating about its own axis, with a constant angular acceleration of 0.2 rad/s2.The time taken by the disc to rotate by 10 rad is (in second)

MGIMS WardhaMGIMS Wardha 2010

Solution:

From the equation, $ \theta ={{\omega }_{0}}t+\frac{1}{2}\alpha {{t}^{2}} $ Given, $ \alpha =0.2\text{ }rad/{{s}^{2}},\text{ }{{\omega }_{0}}=0,\text{ }\theta =10\text{ }rad $ $ \Rightarrow $ $ 10=\frac{1}{2}(0.2){{t}^{2}} $ $ \Rightarrow $ $ {{t}^{2}}=100 $ $ \Rightarrow $ $ t=10\,s $