A lump of wet putty moves in uniform circular motion as it rides at a radius
of 20.0 cm on the rim of a wheel rotating counterclockwise with a period of 5.00 ms.
The lump then happens to fly off the rim at the 5 o’clock position (as if on a clock
face). It leaves the rim at a height of h = 1.20 m from the floor and at a distance
d = 2.50 m from a wall. At what height on the wall does the lump hit?

Question

A lump of wet putty moves in uniform circular motion as it rides at a radius
of 20.0 cm on the rim of a wheel rotating counterclockwise with a period of 5.00 ms.
The lump then happens to fly off the rim at the 5 o’clock position (as if on a clock
face). It leaves the rim at a height of h = 1.20 m from the floor and at a distance
d = 2.50 m from a wall. At what height on the wall does the lump hit?

anonymous · Answer

This is what I've done so far.
Displacement vectors:
$$x=0.2\cos 60  $$
$$y= -0.2\sin 60$$
Velocity vectors:
$$x=80 \pi \cos \theta$$
$$y= 80 \pi \sin \theta$$
I cannot work out the angle for this.  Help?

anonymous · Answer

I do know that the velocity vector is tangent to the wheel. Here's the image attached.

irishboy123 · Answer

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