Find the speed of a satellite in a circular orbit around the Earth with a radius 3.57 times the mean radius of the Earth. (Radiu
2 answers:
In a circular orbit with a radius that is 3.57 times the mean radius of the Earth, a satellite moves at a speed of 132.43km/s.
In order to get the solution, we must understand the satellite's planetary motion equation.
<h3>What is the satellite's orbital motion equation?</h3>- The earth's mass M and the satellite's mass M are attracted to one another by gravity.
- The term used to describe centripetal force of,
- When a satellite orbits the earth, these two forces are equivalent. Thus, the velocity will be,
As a result, we may estimate that the satellite will move at a speed of 132.43 km/s.
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Answer: The speed of a satellite in a circular orbit around the Earth with a radius 3.57 times the mean radius of the Earth is 4188.11 m/s.
Explanation: To find the answer, we need to know about the equation of motion of a satellite around earth.
<h3>What is the equation of motion of a satellite around earth?</h3>- We have gravitational force of attraction between the satellite of mass m and earth of mass M as,
- The expression for centripetal force of,
- These two forces are equal for a satellite around earth.
- Given that,
- Thus, the speed of the satellite will be,
Thus, we can conclude that the speed of satellite will be 4188.11 m/s.
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Answer:
minimum length of a surface crack is 18.3 mm
Explanation:
Given data
plane strain fracture toughness K = 82.4 MPa m1/2
stress σ = 345 MPa
Y = 1
to find out
the minimum length of a surface crack
solution
we will calculate length by this formula
length = 1/π ( K / σ Y)²
put all value
length = 1/π ( K / σ Y)²
length = 1/π ( 82.4 / 345× 1)²
length = 18.3 mm
minimum length of a surface crack is 18.3 mm