At time t = 0 s, a wheel has an angular displacement of zero radians and an angu

Question

At time t = 0 s, a wheel has an angular displacement of zero radians and an angular velocity of +15 rad/s. The wheel has a constant acceleration of -0.48 rad/s2. In this situation, the time at which the angular displacement is +78 rad and decreasing is closest to: At time t = 0 s, a wheel has an angular displacement of zero radians and an angular velocity of +15 rad/s. The wheel has a constant acceleration of -0.48 rad/s2. In this situation, the time at which the angular displacement is +78 rad and decreasing is closest to: 6 s 57 s 67 s 31 s 5 s

Explanation / Answer

theta =w*t-a*t*t/2

78=15*t-.48*t*t/2

solving quadratic equation we get t=56.77s and 5.72 s

57 s is the answer

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