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2 years ago

How is velocity ratio of wheel and axle calculatedaad

Physics

1 answer:

iogann1982 [59]2 years ago

3 0

Answer:

VR = $\frac{Radius of wheel}{Radius of axle}$

Explanation:

A machine is a device that can be used to overcome a load by the application of an effort through a pivot. Examples are: pulleys, wedge, screw jack, wheel and axle etc.

The wheel and axle is a simple device that can be used to lift a load through a height. Its velocity ratio (VR) can be determined by:

VR = $\frac{Radius of wheel}{Radius of axle}$

Note that for a practical wheel and axle, the radius of the wheel is greater than the radius of the axle.

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To solve this problem it is necessary to apply the concepts related to the Rotational Force described from the equilibrium and Newton's second law.

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Where

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

m = mass

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$W = mg \rightarrow$ 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

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Answer:

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