When there is equilibrium, the Force generated by the tension is equivalent to the Force of the Weight. However in rotation, the Weight must be equivalent to the Centrifugal Force and the tension, in other words:

$W = F_T + m\omega^2r_E$

Where

$\omega = \frac{2\pi}{T} \rightarrow$ Angular velocity is equal to the Period, at this case Earth's period

$r_E = 6.371*10^6m \rightarrow$ Radius of the Earth

m = mass

$F_T$ = Force of Tension

$W = mg \rightarrow$ Newton's second law

Replacing and re-arrange to find the Tension we have,

$F_T = W- \frac{W}{g} (\frac{2\pi}{T})^2r_E$

$F_T = W(1-(\frac{2\pi}{T})^2\frac{r_E}{g})$

$F_T = (505)(1-(\frac{2\pi}{24hours})^2\frac{6.371*10^6}{9.8})$

$F_T = (505)(1-(\frac{2\pi}{24hours(\frac{3600s}{1hour})})^2\frac{6.371*10^6}{9.8})$

$F_T = (505)(1-(\frac{2\pi}{86400})^2\frac{6.371*10^6}{9.8})$

$F_T = 503.26N$

Therefore when Sneezy is on the equator he is in a circular orbit with a Force of tension of 503.26N

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2 years ago

PLEASE HELP I WILL GIVE BRALINEST

Greeley [361]

Weight: it is the gravitational pull applied on a body by the earth’s surface
Mass: it is the amount of matter present

6 0

2 years ago

john gottman, the eminent marriage counselor put the number of conflicts which cannot be resolved and needed to be worked on con

USPshnik [31]

He called the counterproductive.

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2 years ago