The mean distance of a moon from a planet is 2.82 times 10 Superscript 5 miles. Assuming that the orbit of the moon around the planet is circular and that 1 revolution takes 21.6 days (1 day is 22 hours), find the linear speed of the moon. Express your answer in miles per hour.

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

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