Question

A drill is used to spin a wheel that begins from rest for two seconds. Then while the wheel is still spinning, it is placed on the ground at the bottom of a hill. The idea is to find out how far up the hill the wheel will go. The drill exerts a force of 15-Nm, we'll assume that there is NO energy lost due to friction or air resistance. The wheel in question will be treated as a solid cylinder with a radius of .3-m (30-cm) and a mass of 1.5-kg.

a) Draw energy bar charts for the cylinder as it rolls up the hill. Use the point just before it is released as the initial and when it reaches its highest point on the hill as the final point.

b) What is the angular acceleration of the wheel while it is still attached to the drill?

c) What is the final angular speed of the wheel?

d) How far did the wheel go up the hill, what is the highest elevation?

Answer 1

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