Physics problem


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I'm having some difficulties with this problem, please help. See figure

A wheel turns at angular speed w (constant) which drives a saw in a horizontal movement. Ultimately, I must find the maximum angular speed of the wheel allowed while assuring that the speed and acceleration of the saw are below 3 m/s and 150 m/s^2 respectively. To do this, I must find the relashionship relating the angular position (theta) and the angular speed (w) of the wheel with the linear speed (v) and the linear acceleration (a) of the saw.

There's a second part to the problem (with the spring). I will post it if I see that someone is interested.

post-7-1073350971.jpg

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Definently requires calculus, what i think is that you see the little triangle, well seeing as you said the angular acceleration is 0, so you only have first order derivatives. In Pi/2 degrees, it travels 10cm up. you can start to see how the distance of A should be calculated right? I believe it might require a system of 2 equations but i haven't quite taken a look at it and i also haven't done mechanics in a while. :/

Perhaps it would be possible to relate the angle at A with the circle somehow.

It does seem like it would take a bit of time to sit down and if i was more awake i'm tempted to do it.

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