Quote:
Originally Posted by Jared
cos(tan^-1(12/14) = 0.7593
0.7593*2 = 1.5186 ft/second
Length of diagonal is 3.0731 feet.
Circumference is 3.0731*pi = 9.6544
1.5186/9.6544 =0.1572 rotation/sec = around 1 rad/sec.
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In this particular problem, you can get the correct answer -- as you have done -- by simply projecting the wheel speed unto the direction the wheel is moving.
But as the problem gets more general (and more complicated), that will no longer work.