- #1
Glenboro
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Homework Statement
The Moon’s nearly circular orbit about the Earth has a radius of about 385 000 km and a period T of 27.3 days. Determine the speed of the Moon. Determine the magnitude and direction of the Moon’s acceleration.
Mark Criteria: A)determining the correct period of motion in seconds
B)determining the correct radius of motion in meters
C)determining the correct speed in m/s for
D)determining the correct magnitude of acceleration
E)determining the correct direction of acceleration
Homework Equations
V= 2(pie)(R)/T
ac = V^2/R
The Attempt at a Solution
A) 27.3 days (60s)(60m)(24h) = 2.36 X 10^6s
B) 385,000 km = 3.85 X 10^8m
C) V= (2)(pi)(3.85 X 10^8m)/(2.36 X 10^6s)
= 1.025 X 10^3 m/s
D) ac = (1.025 X 10^3)^2/ (3.85 X 10^8m) = 2.7 X 10^-3 m/s^2
E) Towards the center of uniform circular motion[/B]