A wheel rotates with an angular acceleration given by alpha= 4at^(2)-3bt^(2), where t is the time and a and bare constants. If the wheel has an initial angular speed w_(0), write the equations for (a) the angular speed and (b) the angle tumed through as functions of time.

A wheel rotates with an angular acceleration given by alpha= 4at^(2)-3

1.	A wheel rotates with an angular acceleration given by alpha= 4at^(2)-3bt^(2), where t is the time and a and bare constants. If the wheel has an initial angular speed w_(0), write the equations for (a) the angular speed and (b) the angle tumed through as functions of time.
Answer» <html><body><p></p>Solution :(a)`at^(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>)-bt^(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>)+omega_(0)`, (<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>)`a(t^(5))/(5)-b(t^(4))/(4)+omega_(0)t`</body></html>