A wheel starting from rest is uniformly accelerated with $α = 2 r a d / s^{2}$ for $5 s .$ It is then allowed to rotate uniformly for the next two seconds and is finally brought to rest in the next $5 s .$ Find the total angle rotated by the wheel in radians.

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Solution

$θ =$ Area under $ω t$ graph
$= \frac{1}{2} (12 + 2) (10) = 70 r a d$

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A wheel starting from rest is uniformly accelerated with α=2rad/s2 for 5s. It is then allowed to rotate uniformly for the next two seconds and is finally brought to rest in the next 5s. Find the total angle rotated by the wheel in radians.

θ= Area under ωt graph=12(12+2)(10)=70rad

A wheel starting from rest is uniformly accelerated with $α = 2 r a d / s^{2}$ for $5 s .$ It is then allowed to rotate uniformly for the next two seconds and is finally brought to rest in the next $5 s .$ Find the total angle rotated by the wheel in radians.

$θ =$ Area under $ω t$ graph
$= \frac{1}{2} (12 + 2) (10) = 70 r a d$