Free Fall Time (Q4496): Difference between revisions

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Changed claim: defining formula (P29): t(y)= \sqrt{ \frac{ {y_0}^3 }{2G(m+M)} } \left(\sqrt{\frac{y}{y_0}\left(1-\frac{y}{y_0}\right)} + \arccos{\sqrt{\frac{y}{y_0}}} \right)
Tags: Manual revert Reverted
Changed claim: defining formula (P29): t(y)= \sqrt{ \frac{ {y_0}^3 }{2G\left(m+M\right)} } \left(\sqrt{\frac{y}{y_0}\left(1-\frac{y}{y_0}\right)} + \arccos{\sqrt{\frac{y}{y_0}}} \right)
Tag: Reverted
Property / defining formulaProperty / defining formula

t(y)=y032G(m+M)(yy0(1yy0)+arccosyy0)

t(y)= \sqrt{ \frac{ {y_0}^3 }{2G(m+M)} } \left(\sqrt{\frac{y}{y_0}\left(1-\frac{y}{y_0}\right)} + \arccos{\sqrt{\frac{y}{y_0}}} \right)

t(y)=y032G(m+M)(yy0(1yy0)+arccosyy0)

t(y)= \sqrt{ \frac{ {y_0}^3 }{2G\left(m+M\right)} } \left(\sqrt{\frac{y}{y_0}\left(1-\frac{y}{y_0}\right)} + \arccos{\sqrt{\frac{y}{y_0}}} \right)

Revision as of 19:55, 5 December 2024

The free-fall time is the characteristic time that would take a body to collapse under its own gravitational attraction, if no other forces existed to oppose the collapse.
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    Free Fall Time
    The free-fall time is the characteristic time that would take a body to collapse under its own gravitational attraction, if no other forces existed to oppose the collapse.

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      t(y)=y032G(m+M)(yy0(1yy0)+arccosyy0)
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