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9 October, 06:46

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.

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  1. 9 October, 07:17
    0
    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
  2. 9 October, 07:48
    0
    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
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