PLZ HELP ASAP: A baseball has a moment of inertia of 9.56 × 1877 kg•m2 and a mass of 56.78 × 1824 kg. Based on these values, what is the ball's radius?
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OpenStudy (iwanttogotostanford):
@zepdrix @YoungStudier
OpenStudy (iwanttogotostanford):
@.cheesecake.
OpenStudy (iwanttogotostanford):
@jacobciezki @calculusxy
OpenStudy (baru):
moment of inertia of a sphere = \(\frac{2}{5}MR^2\)
OpenStudy (iwanttogotostanford):
@baru i used that formula, but i got a really strange number..
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OpenStudy (iwanttogotostanford):
@imqwerty
OpenStudy (iwanttogotostanford):
i know i use I=mr^2 but I'm having trouble doing the math....
OpenStudy (iwanttogotostanford):
so far i have: 9.74X1037=5.98X1024r^2
imqwerty (imqwerty):
okay
so we have this-
\(\large 9.74 \times 10^{37} = \frac{2}{5} \times 5.98 \times 10^{24} \times R^2\)
oh okay are we allowed to use calculator?
OpenStudy (iwanttogotostanford):
yes
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imqwerty (imqwerty):
after simplifying i got this-
\(4.07 \times 10^{13} = R^2\)
\(\sqrt{(4.07 \times 10^{13}) }=R\)
\(R=6.37 \times 10^6\) meters