Answer:
linear speed = 595.706 miles/hours
Explanation:
to find the linear speed of the moon (Express your answer in miles per hour)
Given
radius of the moon = 1737.1 km = 1079.4 mile (a constant value)
The mean distance of a moon from a planet is 2.82 * 10^ 5 miles
therefore, the total distance from the moon to the planet =
=1079.4 + 2.82 * 10^ 5 = 283,079.4 miles
Assuming that the orbit of the moon around the planet is circular and that
1 revolution takes 21.6 days = 21.6*22hours = 475.2 hours
(1 day is 22 hours),
therefore, the time taken for the moon to move round the planet is = 475.2 hours
then,
linear speed = Distance/time
=283,079.4 miles /475.2 hours = 595.706 miles/hours
Answer:
3728.66 miles/hours
Explanation:
If the orbit of the moon around the planet is circular, then the distance moved round the orbit is the circumference of the the circular orbit.
Circumference, C = 2πr
The radius, r, is the mean distance of the moon from that planet.
r = 2.82 × 10⁵ miles
C = 2 × π × 2.82 × 10⁵
C = 1771858.26 miles
C = 1.77 × 10⁶ miles
The time taken to complete revolution is 21.6 days
If 1 day is 22 hours for the planet under consideration, then,
21.6 days = 21.6 × 22 hours
= 475.2 hours
Linear speed = Distance Traveled / Time taken to covered the distance
= 1771858.26 miles / 475.2 hours
= 3728.657947 miles/hours
≈ 3728.66 miles/hours
