Homework 26

# Homework 26 - sanchez(ds28677 homework 26 Turner(58220 This...

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sanchez (ds28677) – homework 26 – Turner – (58220) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points There is a moon orbiting an Earth-like planet. The mass of the moon is 4 . 36 × 10 22 kg, the center-to-center separation of the planet and the moon is 7 . 17 × 10 5 km, the orbital period of the moon is 22 . 9 days, and the radius of the moon is 1640 km. What is the angular momentum of the moon about the planet? Correct answer: 7 . 11796 × 10 34 kg m 2 / s. Explanation: The angular speed ω in radians per unit time, for a complete circle is ω = 2 π T . Angular momentum L is L = m v r = m r 2 ω = 2 π m r 2 T = 2 π (4 . 36 × 10 22 kg) × bracketleftbigg (7 . 17 × 10 5 km) 1000 m 1 km bracketrightbigg 2 (22 . 9 days) parenleftbigg 24 hr 1 day parenrightbigg = 7 . 11796 × 10 34 kg m 2 / s . 002 (part 1 of 3) 10.0 points A 3 kg bicycle wheel rotating at a 2492 rev / min angular velocity has its shaft supported on one side, as shown in the fig- ure. The wheel is a hoop of radius 0 . 4 m, and its shaft is horizontal. The distance from the center of the wheel to the pivot point is 0 . 6 m. When viewing from the left (from the posi- tive x -axes), one sees that the wheel is rotat- ing in a clockwise manner.

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