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A wheel starting from rest is uniformly ...

A wheel starting from rest is uniformly accelerated with angular acceleration of `4 "rad"//s^(2)` for 10 seconds . It is then allowed to rotate uniformly for next 10 seconds and finally brought to rest in next 10 seconds by uniform angular retardation. Total angle rotated is (100 n) radian. Find value of n.

Text Solution

Verified by Experts

`omega = alpha.t_(1)`
`theta = 2(1/2alphat_(1)^(2)) + (alpha t_(1))(t_(2))`
`=4 xx (10)^(2) + (4 xx 10) (10)`
= 800 rad.
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