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Answer:
a)
Speed at Equator = 463.97 meters per second
Centripetal Acceleration at Equator = meters per second squared
b)
Speed at 30 degrees north of equator = 401.79 meters per second
Centripetal Acceleration at 30 degrees north of equator = meters per second squared
Step-by-step explanation:
The formula is:
Where
v is speed
R is radius
T is time
and another formula for centripetal acceleration:
Now,
a)
at equator, the radius is radius of earth (given), time in seconds is
T = 24 * 60 * 60 = 86,400
THus,
Speed at Equator = 463.97 meters per second
Centripetal Acceleration:
Centripetal Acceleration at Equator = meters per second squared
b)
At 30.0° north of the equator:
Now,
Speed =
Speed at 30 degrees north of equator = 401.79 meters per second
Centripetal Acceleration:
Centripetal Acceleration at 30 degrees north of equator = meters per second squared