26 - hernandez(ejh742 – oldhomework 26 – Turner...

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Unformatted text preview: hernandez (ejh742) – oldhomework 26 – Turner – (58120) 1 This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points An airplane of mass 998 kg flies level to the ground at a constant speed of 175 m / s relative to the Earth. An observer on the ground along the path of the plane sees the plane a distance 4140 . 23 m away at an angle above the horizontal of 57 . 711 ◦ . What is the magnitude of the airplane’s angular momentum relative to a ground ob- server directly below the airplane? Correct answer: 6 . 11275 × 10 8 kg m 2 / s. Explanation: Basic Concepts: vector L = vector r × vector p L = r m v sin( θ ) = (4140 . 23 m)(998 kg)(175 m / s) sin(57 . 711 ◦ ) = 6 . 11275 × 10 8 kg m 2 / s 002 10.0 points A child’s top is spinning with its axis making an angle of 10 . 4 ◦ with respect to the vertical. Its center of gravity is 9 . 95 cm from its tip, its mass is 392 grams, and its moment of inertia is 11642 . 7 g cm 2 . It is observed to precess . 945 times per second. The acceleration of gravity is 9 . 8 m / s 2 . How fast is it spinning? Correct answer: 55 . 293 rad / s. Explanation: The top precesses 0 . 945 times per second, which multiplied by 2 π corresponds to an an- gular speed Ω = 5 . 93761 rad / s ....
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26 - hernandez(ejh742 – oldhomework 26 – Turner...

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