Solve the following :


A wheel starting from rest is uniformly accelerated at $4 \mathrm{rad} /{ }^{S^{2}}$ for 10 seconds. It is allowed to rotated uniformly for the next 10 seconds and is finally brought to rest in the next 10 seconds. Find the total angle rotated by the wheel.


Angular displacement=Area under curve


$\theta=800 \mathrm{rad}$


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