An earth satellite moves in a circular orbit with an orbital speed of 6200m/s. a) find the time of one revolution. b) find the radial acceleration of the satellite in its orbit.
I will be happy to critique your thinking.
Please give me answer
a) To find the time of one revolution of the satellite, we can use the formula:
Time of one revolution = Circumference / Orbital Speed
The formula for the circumference of a circle is:
Circumference = 2 * π * Radius
Since the satellite moves in a circular orbit, the radius of the orbit will be the distance between the center of the Earth and the satellite. Assuming this distance is given, we can plug in the values and solve for the time:
Radius = ...
Circumference = 2 * π * Radius
Time of one revolution = Circumference / Orbital Speed
b) To find the radial acceleration of the satellite in its orbit, we can use the formula:
Radial Acceleration = (Orbital Speed)^2 / Radius
We already know the orbital speed and we can use the same radius that we obtained in part (a) to find the radial acceleration:
Radial Acceleration = (Orbital Speed)^2 / Radius
Radius = ...
Radial Acceleration = (6200 m/s)^2 / Radius
Let's plug in the values and calculate the results.
To find the time of one revolution (T) of the earth satellite moving in a circular orbit, we can use the formula:
T = (2πr) / v
where:
T = time of one revolution
π = pi (approximately 3.14159)
r = radius of the circular orbit
v = orbital speed of the satellite
a) To find the time of one revolution, we need to determine the radius of the circular orbit. However, information about the radius is not given in the question. Hence, we cannot determine the time of one revolution.
b) To find the radial acceleration (ar) of the satellite in its orbit, we can use the formula:
ar = v^2 / r
where:
ar = radial acceleration
v = orbital speed of the satellite
r = radius of the circular orbit
To calculate the radial acceleration, we need the radius of the orbit. Since the radius is not specified in the question, we cannot find the radial acceleration.
In summary, without the information about the radius of the orbit, we cannot determine the time of one revolution or the radial acceleration of the satellite.