Question #161273

A bullet moves in an angular direction and its angular velocity w = πt + π in terms of (rad / s) after starting t = 0, its average angular velocity during the time the bullet hits the second round, a few radians per second Is?


Expert's answer

The average angular velocity during the time Δt\Delta t


ωavg=1Δt∫0tω(t)dt\omega_{avg}=\frac{1}{\Delta t}\int_0^t\omega(t)dt


Assume that t=2(s)t=2(s)


ωavg=12∫02(πt+π)dt=12⋅(π⋅222+2π)=2π=6.28(rad/s)\omega_{avg}=\frac{1}{2}\int_0^2(\pi t+\pi)dt=\frac{1}{2}\cdot(\frac{\pi\cdot2^2}{2}+2\pi)=2\pi=6.28(rad/s) . Answer









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