Question

A wheel 90.0 cm in diameter accelerates uniformly from 205 rpm to 390 rpm. If in this process a point on the edge of this wheel have traveled 106 m, how long does this process take? (seconds)

Answer 1

hi

Answer 2

\[d= r \theta \]

Answer 3

\[\frac{ 106 }{ .9} = \theta \]

Answer 4

convert theta to rev.s and use:
\[\omega _{f}^{2} =\omega _{i}^{2} +2\alpha \theta \]
to find alpha

Answer 5

then find time in minutes from:
\[\omega _{f} = \omega _{i} + \alpha t\]