Yahoo Answers: Answers and Comments for A hovercraft starts from rest and undergoes a pure rotation with a constant angular acceleration. If it takes? [Engineering]
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From Nathan
enUS
Sun, 02 Mar 2014 19:27:19 +0000
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Yahoo Answers: Answers and Comments for A hovercraft starts from rest and undergoes a pure rotation with a constant angular acceleration. If it takes? [Engineering]
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https://answers.yahoo.com/question/index?qid=20140302192719AAiTNfg
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From G: Basic rotational kinematic equation for consta...
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https://answers.yahoo.com/question/index?qid=20140302192719AAiTNfg
Mon, 03 Mar 2014 06:05:45 +0000
Basic rotational kinematic equation for constant alpha:
thetatheta0=omega0*t+1/2*alpha*t^2
Substitute known values, total rotation is 45 degrees, omega0=0 (from rest), time is 1.1 seconds.
45=0*t+1/2*alpha*(1.1)^2
Therefore acceleration is 85.811 deg/sec/sec.
Now using the same equation, plug in scenario two. Total rotation is 78 degrees, omega0=0, alpha is 85.511 deg/sec/sec. Solve for t.
78=0*t+1/2*85.511*t^2
Quadratic formula, or graphing should yield t=1.4 seconds.