A small satellite being designed requires a nitrogen storage tank to store propellant for the cold gas thruster used to maintain
the satellite's orientation. The requirements call for 50.0 kg of N2 to be stored in a rigid container at 5°C and 65.0 bar when the satellite is deployed in space. Assuming that nitrogen is an ideal gas, what is the minimum required size (i.e., volume) of the storage tank? While the satellite awaits launch, it is estimated that the temperature in the tank could reach as high as 45°C. If this happens, what will be the maximum internal pressure that the storage vessel must be able to handle (again, assume nitrogen is an ideal gas)? Finally, use equation of state information about "real" nitrogen gas to to estimate the error in the size of the storage tank you originally calculated (i.e., based on the assumption that nitrogen was an ideal gas.
1 answer:
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Answer:
diagram: see image, x-component: 84.3 N, acceleration: 4.38 m/s^2
Explanation:
(see image for further explanation)
The correct answer is :
Unit vectors I and j along the x-axis and y-axis, respectively, define the Cartesian coordinate system. The radial unit vector r, which indicates the direction from the origin, and the unit vector t, which is orthogonal (perpendicular) to the radial direction, together create the polar coordinate system.
We can obtain the horizontal component by applying the trigonometric identity of Cos(Ф), and if we obtain the component on the x axle, such as 22000 (m)×Cos(51°) = x, we may determine that x = 13845.05 metres. We need to obtain the vector components because we already know the distance and the angle.
To learn more about Cartesian unit-vector refer the link:
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