21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 7, Problem 34QP
To determine
The ratio of Venus’s spin total
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Uranus has a mass of 8.68 x 1025 kg and a radius of 2.56 x 10 m. Assume it is a uniform solid sphere. The distance of Uranus from the Sun is 2.87 x 10¹2 m. (Assume Uranus completes a single
rotation in 17.3 hours and orbits the Sun once every 3.08 x 104 Earth days.)
(a) What is the rotational kinetic energy of Uranus on its axis?
J
(b) What is the rotational kinetic energy of Uranus in its orbit around the Sun?
J
Titan completes one orbit about Saturn in 15.9 days and the average Saturn-Titan distance is 1.22 x 10° m.
Calculate the angular speed o of Titan as it orbits Saturn.
rad/s
=
(a)What is the period of rotation of Neptune in seconds? (The period of rotation of Neptune in hours is 16.1 hr.)
(b)What is the angular velocity (in rad/s) of Neptune? (Enter the magnitude.)
(c)Given that Neptune has a radius of 2.5 ✕ 107 m at its equator, what is the linear velocity (in m/s) at Neptune's surface? (Enter the magnitude of the linear velocity at the equator.)
Chapter 7 Solutions
21st Century Astronomy
Ch. 7.1 - Prob. 7.1CYUCh. 7.2 - Prob. 7.2CYUCh. 7.3 - Prob. 7.3CYUCh. 7.4 - Prob. 7.4CYUCh. 7.5 - Prob. 7.5CYUCh. 7 - Prob. 1QPCh. 7 - Prob. 2QPCh. 7 - Prob. 3QPCh. 7 - Prob. 4QPCh. 7 - Prob. 5QP
Ch. 7 - Prob. 6QPCh. 7 - Prob. 7QPCh. 7 - Prob. 8QPCh. 7 - Prob. 9QPCh. 7 - Prob. 10QPCh. 7 - Prob. 11QPCh. 7 - Prob. 12QPCh. 7 - Prob. 13QPCh. 7 - Prob. 14QPCh. 7 - Prob. 15QPCh. 7 - Prob. 16QPCh. 7 - Prob. 17QPCh. 7 - Prob. 18QPCh. 7 - Prob. 19QPCh. 7 - Prob. 20QPCh. 7 - Prob. 21QPCh. 7 - Prob. 22QPCh. 7 - Prob. 23QPCh. 7 - Prob. 24QPCh. 7 - Prob. 25QPCh. 7 - Prob. 26QPCh. 7 - Prob. 27QPCh. 7 - Prob. 28QPCh. 7 - Prob. 29QPCh. 7 - Prob. 30QPCh. 7 - Prob. 31QPCh. 7 - Prob. 32QPCh. 7 - Prob. 33QPCh. 7 - Prob. 34QPCh. 7 - Prob. 35QPCh. 7 - Prob. 36QPCh. 7 - Prob. 37QPCh. 7 - Prob. 38QPCh. 7 - Prob. 39QPCh. 7 - Prob. 40QPCh. 7 - Prob. 41QPCh. 7 - Prob. 42QPCh. 7 - Prob. 43QPCh. 7 - Prob. 44QPCh. 7 - Prob. 45QP
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- The axis of Earth makes a 23.5 angle with a direction perpendicular to the plane of Earth’s orbit. As shown below, this axis precesses, making one complete rotation in 25,780 y. (a) Calculate the change in angular momentum in half this time. (b) What is the average torque producing this change in angular momentum? (c) If this torque were created by a pair of forces acting at the most effective point on the equator, what would the magnitude of each force be?arrow_forwardUnder some circumstances, a star can collapse into an extremely dense object made mostly of neutrons and called a neutron star. A star with a of mass of 2.0x1032 kg and radius 7.0x108 m is initially rotating at a rate of once every 30 days. The star collapses into a neutron star with the same mass but a new radius of 16,000 m. What is the angular speed of the star? (Give your answer in rotations per second.) Assume the star is a solid sphere: Isphere = 2/5 MR2. The Crab Nebula (shown below) formed from a nearby supernova (6000 light years away). Chinese astronomers observed the event in the year 1054 and since that time the nebula has been expanding into what it appears like today. The Crab Pulsar is a neutron star at the center of the nebula and the remains of the original supernova.arrow_forwarda. Calculate the rotational kinetic energy (in J) of Uranus on its axis. (Assume its mass to be 8.69 ✕ 1025 kg, the period about its axis to be 17.2 h, and its diameter to be 51100 km.) b. What is the rotational kinetic energy (in J) of Uranus in its orbit around the Sun? (Assume its distance from the sun to be 2.87 ✕ 109 km and its period about the sun to be 30700 days.)arrow_forward
- Suppose that the Sun runs out of nuclear fuel and suddenly collapses to form a white dwarf star. The size shrinks and became as big as earth. Assuming that there is no loss in mass and it maintained to be a solid sphere, what would be the little white dwarf star's rotation period. The present rotation of the sun is about 25 days. Earth's radius = 6.37x10^6 Sun's radius = 6.96x10^8arrow_forwardA 1500-kg satellite orbits a planet in a circular orbit of radius 6.2 × 106 m from the center of the planet. What is the angular momentum, in kg m2/s, of the satellite, with respect from an axis from the center of the planet, if it completes one orbit every 1.5 × 104 s?arrow_forwardFind the angular momentum (in kg · m2/s) of Saturn in its orbit around the Sun. - The mass of Saturn is 5.680 ✕ 1026 kg, the orbital radius is 1.427 ✕ 109 km and the orbital period is 29.5 y. Compare this angular momentum with the angular momentum of Saturn on its axis. - The radius of Saturn is 6.027 ✕ 104 km and the rotation period is 10.66 h.arrow_forward
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