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4 years ago

9

Compute the moon's centripetal acceleration in its orbit around the earth. Recall that the moon orbits the earth very 38 days an

d that it is about 240,000 miles from earth.
What force causes this acceleration?

1 answer:

wlad13 [49]4 years ago

6 0

Centripetal acceleration, Ac = V^2 / R.

V = tangential speed
R = radius of the orbit

V = 2πR / T

R = 240,000 miles
T = 28 days [ i am correcting what I think is an error, because the moon orbits the earth every 28 days]

V = 2π(240,000miles)*(1,609m/miles)/(28days*24h/day*3600s/h)

V = 1,002.9m/s

Ac = V^2 / R = 0.0026 m/s^2

The force that cauces this acceleration is the gravity of our planet, as stated Lord Isaac Newton.

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3 0

3 years ago