When a slice of buttered toast is accidentally pushed over the edge of a counter, it rotates as it falls. suppose the distance to the floor is 89 cm and the toast rotates less than 1 rev. (a) what is the smallest angular speed that causes the toast to hit and then topple to be butter-side down?

7.38 rad/s

Explanation:

Assume no air resistance, we can first calculate the time it takes for the toast to be dropped 0.89m to the floor. Since we have

where and h = 0.89 m

This is also the time for the toast to flip one time at a constant angular speed. The angle it covered would be at radian.

So the smallest angular speed it needs to hit and topple butter-side down is

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