EXPEE ta Assignment Status Click here for detailed view (13%) Problem 6: A solid 1.57 = 10 rotate about the z axis, as shown. It's angular position as a function of time is given by e(t) = 1.57 rad + (26.21 rad/s³/2) +³/2 - (2.28 rad/s5/2)+5/2 Problem Status 33% Part (a) What is the angular position, in radians, at 2.61 s? 1 Completed 2 Completed 3 Completed 4 Completed 0(2.61 s) = 5 Completed 6 7 8 rad sin( cos( cotan asin() tan acos π ( ) 7 8 EMN4 9 HOME 5 6 atan cosh acotan sinh * 1 2 3 tanh Degrees cotanh() + 0 END Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 4% deduction per hint. Hints remaining: 1 Feedback: 5% deduction per feedback. 33% Part (b) What is the angular velocity, in radians per second, at 3.62 s? ▲ 33% Part (c) What is the angular acceleration, in radians per squared second, at 4.94 s? All content © 2024 Expert TA, LLC

EXPEE ta Assignment Status Click here for detailed view (13%) Problem 6: A solid 1.57 = 10 rotate about the z axis, as shown. It's angular position as a function of time is given by e(t) = 1.57 rad + (26.21 rad/s³/2) +³/2 - (2.28 rad/s5/2)+5/2 Problem Status 33% Part (a) What is the angular position, in radians, at 2.61 s? 1 Completed 2 Completed 3 Completed 4 Completed 0(2.61 s) = 5 Completed 6 7 8 rad sin( cos( cotan asin() tan acos π ( ) 7 8 EMN4 9 HOME 5 6 atan cosh acotan sinh * 1 2 3 tanh Degrees cotanh() + 0 END Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 4% deduction per hint. Hints remaining: 1 Feedback: 5% deduction per feedback. 33% Part (b) What is the angular velocity, in radians per second, at 3.62 s? ▲ 33% Part (c) What is the angular acceleration, in radians per squared second, at 4.94 s? All content © 2024 Expert TA, LLC

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter16: Cosmology

Section: Chapter Questions

Problem 16P: Collapse of a dust ball under Newtonian gravity. Suppose that a spherical ball of dust with no...

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A star with mass m, period Ti = 30 days, and radius ri = 1E4 km collapses into a neutron star (Links to an external site.) with a radius of rf = 3 km. Our goal will be to determine the period Tf of the neutron star. Useful formulae: Li=Lf; L=Iω; ω=2πf=2π/T; Isphere=2/5mr^2. 1.How much angular momentum Li does the star have before it collapses? 2. What is the rotation rate ωi of the star before collapsing? 3. Suppose we model the star as a solid sphere of radius ri with moment of inertia 2/5mri2 (a good assumption). What does our description of Li read now? 4.How much angular momentum Lf does the star have after it collapses? 5. What is the rotation rate ωf of the star after collapsing? 6.The new object, a neutron star, is also shaped like a sphere. What does Lf read? Group of answer choices 7.Assuming angular momentum is conserved during collapse (also a good assumption), what is our prediction for the period of the neutron star, Tf? 8. What is Tf in units of days? 9. What…
NOTE: The 2nd diagram is for angular reference only
A star with mass m, period Ti = 30 days, and radius ri = 1E4 km collapses into a neutron star with a radius of rf = 3 km. Our goal will be to determine the period Tf of the neutron star. Useful formulae: Li=Lf; L=lw; w=2πf=2π/T; Isphere=2/5mr2 How much angular momentum Li does the star have before it collapses? Group of answer choices: A)riTi B)mr2i C)mivi D)Iiwi What is the rotation rate wi of the star before collapsing? Group of answer choices A)riTi B)mr2i C)2π/Ti D)2πfi Suppose we model the star as a solid sphere of radius ri with moment of inertia 2/5mr2i (a good assumption). What does our description of Li read now? Group of answer choices A)2/5mr2i(2πfi) B)2/5mr2i(2π/Ti) C)2/5mr2i(mr2i) D)2/5mr2i(riTi) How much angular momentum Lf does the star have after it collapses? Group of answer choices A)mfvf B)rfTf C)I fwf D)mr2f What is the rotation rate wf of the star after collapsing? Group of answer choices A)2π/Tf…
Hi! I'm struggling with this question on my trigonometry homework about angular velocity and linear velocity. A line from the center to the edge of a CD revolving 300 times per minute
Collapse of a dust ball under Newtonian gravity. Suppose that a spherical ball of dust with no internal pressure and with an initial radius R0 and total mass M gravitationally collapses from rest. Show that the outer shell of the collapsing dust ball obeys the equation of motion Solve this equation of motion and show that the time to collapse is given by Hint: Write Newton’s law as . Let f(R) = dF(R)/dR and multiply both sides of by by . The resulting equation may be immediately integrated with respect to time by recognizing that . Integrating again with respect to time, this general technique yields t as a function of R where and C and C1 are constants determined by the initial conditions. Find the time of collapse of a dust ball with a mass and radius equal to that of the Sun. (RS = 6.96 × 1010 cm, MS = 1.99 × 1033 g, G = 6.67 × 10−8 cgs units) What prevents the Sun from collapsing in this way?
Using data from the previous problem, find the increase in rotational kinetic energy, given the core’s mass is 1.3 times that of our Sun. Where does this increase in kinetic energy come from?
Our solar system orbits the center of the Milky Way galaxy. Assuming a circular orbit 30,000 ly in radius and an orbital speed of 250 km/s, how many years does it take for one revolution? Note than this is approximate, assuming constant speed and circular orbit, but it is representative of the time for our system and local stars to make one revolution around the galaxy.
Using the solution from the previous problem, find the increase in rotational kinetic energy, given the core’s mass is 1.3 times that of out Sun. Where does this increase in kinetic energy come from?
What is conservation of angular momentum advantages?
What is the angular momentum relative to the origin of the 240 g particle in The picture? Give seperate values for Lx Ly and Lz
We believe that our galaxy was formed from a huge cloud of gas. The original cloud was far larger than the present size of the galaxy, was more or less spherical, and was rotating very much more slowly than the galaxy is now. In this sketch, we see the original cloud and the galaxy as it is now (seen edgewise). Explain how the inward pull of gravity and the conservation of angular momentum contribute to the galaxy’s present shape and why it rotates faster now than when it was a larger, spherical cloud.
Plz solve completely within 25 minutes will definitely upvote