Another astronomy (algebra-based physics) question

I’d prefer thorough solutions, but if you can only provide formulas that would solve each part of the problem, that’d be helpful too :-) Thanks!


Spinning too fast

The rate of rotation of astrophysical objects that are held together by gravity (e.g., stars or planets) cannot be larger than a certain maximum. Rotating faster than this rate will tear the star apart. Let’s find the expression for this maximum rotation rate.

a) You are sitting on the equator of a star of radius R that is spinning about its axis with period P. What is the rotation speed that you have on the equator?

b) Using your expression for the rotation speed, what is the centrifugal acceleration that you experience on the equator?

c) The star has mass M. What is the gravitational acceleration that you feel on the surface?

d) Now equate the centrifugal and gravitational acceleration, and find the period of rotation when they are equal. What happens if the star rotates faster than this period?

e) Calculate the limiting rotation periods for the Earth and for the Sun. Write them in the most appropriate units (e.g., seconds, minutes, hours, days, years, etc.). Find the ratio of the critical rotation period for the Earth to the current rotation period. The Sun is rotating with a period of 25 days. Find this ratio for the Sun as well.

  1. 👍 0
  2. 👎 0
  3. 👁 179
asked by Mark
  1. Enough, already. Show your work for further help

    1. 👍 0
    2. 👎 0
    posted by drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. English

    1. I prefer to play soccer with them. 2. I prefer playing soccer with them. (Are both grammatical?) 3. I prefer spring to fall. 4. I prefer palying tennis outdoors to reading books indoors. 5. I prefer to swim rather than read a

    asked by rfvv on December 14, 2016
  2. English

    Thank you for your help. One more time, I'd like to post the structure 'prefer to' 1. I prefer him to her. 2. I prefer Ted to Jacob. 3. I prefer table tennis to soccer. 4. I prefer reading books to playing soccer. 5. I prefer to

    asked by rfvv on December 14, 2016
  3. Math

    1.A restaurant surveys 60 of its customers about their new menu. 48 of the customers that take the survey prefer the new menu. A.Which value is unknown in this problem: the part, percent, or whole? B.Write and solve the proportion

    asked by Francis on April 16, 2015
  4. computer applications

    John wants to see the formulas he has used in his spreadsheet but he does not want to see the results of the formulas. How does he display his formulas? A. Click on Trace Precedents. B. Click Print Formulas. C. Click on Show

    asked by Sam on March 16, 2015
  5. Math

    use substitution method for solving x+y=4 (x+2)^2+(y-3)^2=5 I got the first part to solve it x +y =4 y=4-x the second part i got to (x+2)^2 + ((4-x)-3)^2=5 x^2 + 2x + 2 ((4-x)-3)^2 = 5 and that is all i could get that i knew was

    asked by Sarah on May 12, 2009
  6. ALEGEBRA 1

    Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3. Part B: Make tables to find the solution to 2−x = 4x + 3.

    asked by Annabelle on January 4, 2016
  7. math

    Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. Part B: Make tables to find the solution to 4x = 2x−2. Take the

    asked by faith on December 11, 2017
  8. algebra 1

    Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. Part B: Make tables to find the solution to 4x = 2x−2. Take the

    asked by steph on December 11, 2017
  9. math-precalculus

    help me please.. and please provide steps so I can follow. sec(2ϴ)=3... solve for all solutions on [0,2π]

    asked by Anonymous on May 22, 2017
  10. maths

    (a) Solve the following equations for x where possible, giving your solutions correct to three decimal places. (i) 3^x+1 -1=5 (ii) 3×4^x =4×4^1-2x (b) Confirm that any solutions you found in part (a) are (approximately) correct

    asked by Michael on October 25, 2016

More Similar Questions