Question

In a computer simulation, a satellite orbits around Earth at a distance from the Earth's surface of miles. The orbit is circular, and one revolution around Earth takes 10.3 days. Assuming the radius of the Earth is 3960 miles, find the linear speed of the satellite. Express the answer in miles per hour to the nearest whole mile.

Answer 1

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To determine the linear velocity, simply divide the total distance travelled by time. The total distance travelled is the circumference.

C = 2*3.14*3960 = 7920*pi miles
Linear speed = 7920*pi/10.3 days*24 hours
Linear speed = 33*pi
Linear speed = 104 miles/hour

Answer 2

Answer:

The linear speed of the satellite is 101 miles/hour.

Step-by-step explanation:

Time taken by the satellite to complete 1 revolution around the earth = T

T= 10.3 days = 247.2 hours

1 day = 24 hours

Radius of the earth = r = 3960 miles

Distance of the satellite from the center of the earth will be close the radoisu of the earth.

Distance of the satellite from the center of the earth, R ≈ r

Circular distance covered by satellite ,D= 2πR

Speed of the satellite : $\frac{Distance}{Time}$

$=\frac{2\times 3.14\times 3960 miles}{247.2 hours}=100.6529 miles/hour$

100.6529 miles/hour ≈ 101 miles /hour