8. An airplane heading to Paris from Houston travels 5000 miles at 500 mph. How long will it take the airplane to get to Paris?
2 answers:
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337493603.8m/s²
Explanation:
Radius of the earth = 6.38 x 10¹⁶m
time = 24hr (86400s)
Unknown:
Centripetal acceleration = ?
Solution:
The centripetal acceleration is directed inward to keep the body from falling off the surface of the earth.
centripetal acceleration =
where v is the velocity and r is the radius
also;
v = wr
where w is the angular velocity
substituting in the equation for centripetal acceleration gives;
a = w²r
also w =
therefore;
a =
a =
a = 337493603.8m/s²
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