You are on a team that is trying is trying to build a device to determine the sp

Question

You are on a team that is trying is trying to build a device to determine the speed of hockey pocks shot along the ice. The device consists of a rod which rests on the ice and is fastened to the ice at end so that it is free to rotate horizontally. The free end of the rod has a small, light net which will catch the hockey puck. The puck slides across the ice perpendicular to the rod and is caught in the basket which is initially at rest. The rod then rotates. The rod is 32 cm long, has a mass of 0.27 kg, and a moment of inertia given by (1/3)ML2. The mass of the puck is 165 grams. After the puck hits the net, the rod rotates at a rate of 2.2 revolutions per second. Determine the speed of the puck before it hits the net.

Explanation / Answer

0.5*0.165*v2=1/3(0.27*2) + 0.5*0.165*2*L2

=4.4/s

L=0.32m

0.0825v2=0.9*(4.4)2+0.0825*0.322*(4.4)2

173.6/0.0825=v2

v=45.87m/s

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