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Leviafan [203]
3 years ago
8

A wheel on a watermill turns halfway every 4.0 s. What is the wheel's angular velocity?

Physics
1 answer:
Doss [256]3 years ago
7 0
A revolution equals 2*pi radians.
 As the wheel rotates half every 4 seconds, then it means that it rotates half revolution.
 Thus, the angular velocity of the wheel is given by:
 w = (pi) / (4) = 0.79 rad / sec
 answer
 The wheel's angular velocity is 0.79 rad / sec
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Explanation:

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Well, according to the law of universal gravitation:

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Where:

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h=3.59(10)^{7} m is the height of the satellite, measured from the Earth's surface

On the other hand, we know according to <u>Newton's 2nd law of motion:</u>

F=mg  (2)

Combining (1) and (2):

G\frac{m_{E}m}{r^2}=mg  (3)

Isolating g:

g=\frac{G M_{E}}{r^2}  (4)

Remembering r=R_{E}+h:

g=\frac{G M_{E}}{(R_{E}+h)^2}  (5)

g=\frac{(6.67(10)^{-11}\frac{m^{3}}{kgs^{2}})(5.98(10)^{24} kg)}{(6.38(10)^{6} m+3.59(10)^{7} m)^2}  

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g=0.223 m/s^{2}  

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