What is the centripetal acceleration of the Moon? The period of the Moon's orbit about the Earth is 27.3 days, measured with respect to the fixed stars. The radius of the Moon's orbit is
RM = 3.85 · 108 m.
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Centripetal acceleration in a circular orbit of radius R is
a = V^2/R
You can get V from the orbit radius, R, and the period, P.
V = 2*pi*R/P
Make sure P is in seconds when you compute V.
2.73*10^-3
To find the centripetal acceleration of the Moon, we need to use the formula for centripetal acceleration:
ac = (v^2) / r
where ac is the centripetal acceleration, v is the velocity of the Moon, and r is the radius of the Moon's orbit.
We can find the velocity of the Moon by using the formula for velocity:
v = 2πr / T
where v is the velocity, r is the radius of the Moon's orbit, and T is the period of the Moon's orbit.
Given that the period of the Moon's orbit is 27.3 days, we need to convert it to seconds:
T = 27.3 days × 24 hours/day × 60 minutes/hour × 60 seconds/minute
Now, we can calculate the velocity:
v = 2π(3.85 × 10^8 m) / (27.3 days × 24 hours/day × 60 minutes/hour × 60 seconds/minute)
After calculating the value for v, we can substitute it into the formula for centripetal acceleration to find the answer:
ac = (v^2) / r
By substituting the values, we can find the centripetal acceleration of the Moon.