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Calculate angular velocity, angular acceleration
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The angular velocity of the circle is defined by the equation ω=3t2+2 rad/sec where t in sec. Determine the magnitudes of the velocity and acceleration of point B on the circle of 1m diameter when t=10 sec.
Solution
ω = 3t2+2 rad/sec
a = dω / dt = 6t
t = 10 sec
a = 60 rad/sec2
VA = ω*R=(3*10^2+2)*0.5=151m/sec
a = 60 rad/sec2
at = a*R = 60*0.5 = 30m/sec2
aw = ω2*R = 302^2*0.5 = 45.6m/sec2
aA = SQRT(at2+ aw2)
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