Question #72564

A wheel rotates with constant angular acceleration of 3.5radians per second square. If the angular speed or velocity of the wheel is 2 radian per second at time =0 ,what angle does the wheel rotate between time =0 and time=2seconds

Expert's answer

Question #72564, Physics / Other

A wheel rotates with constant angular acceleration of 3.5 radians per second square. If the angular speed or velocity of the wheel is 2 radian per second at time =0, what angle does the wheel rotate between time =0 and time=2 seconds

Solution


θ=ωt+αt22=(2)(2)+12(3.5)(2)2=11rad.\theta = \omega t + \frac {\alpha t ^ {2}}{2} = (2) (2) + \frac {1}{2} (3.5) (2) ^ {2} = 11 \mathrm{rad}.


Answer: 11 rad.

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