While being moved, a heavy cylindrical storage drum with a radius of 35 cm falls

Question

While being moved, a heavy cylindrical storage drum with a radius of 35 cm falls off a loading dock and starts rolling across the pavement towards a fence. When it's 41 m from the fence, the drum's angular speed is 7.5 rad/s, and its angular acceleration is ?0.22 rad/s^2. Question If this angular acceleration is sustained, will it crash into the fence? Setup & physics Be careful to distinguish between angular quantities and linear quantities. You'll need both, so part of the challenge of this solution is keeping them straight. Paying close attention to units makes this easier.

Explanation / Answer

so we want to first now how much angle it goes through before it stops

^2 = 0^2+ 2

0^2 = 7.5^2 + 2*-0.22*

solve for

=127.84

that will correspdond to a linear distance

s = r= .35*127.84=44.74 m

so it will hit the fence at 41 m

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