Question

find the linear speed of the moon if the average distance between the earth and moon is 239,000 miles, assuming the orbit of the moon is circular and requires about 28 days. express answer in miles per hour. miles per hour. question help: video message instructor submit question

Explanation:

Step1: Calculate the circumference of the circular orbit

The formula for the circumference of a circle is \(C = 2\pi r\), where \(r = 239000\) miles. So \(C=2\pi\times239000\approx 2\times3.14\times239000 = 1501720\) miles.

Step2: Convert the time from days to hours

Since there are \(24\) hours in a day and the time \(t = 28\) days, then \(t=28\times24=672\) hours.

Step3: Calculate the linear speed

The linear speed \(v=\frac{\text{distance}}{\text{time}}\). Using the values from Step 1 and Step 2, \(v=\frac{1501720}{672}\approx2235\) miles per hour.

Answer:

\(2235\)