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.
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Answer:
Centripetal acceleration = 0.79 m/s²
Explanation:
<u>Given the following data;</u>
Radius, r = 2.6 km
Time = 360 seconds
<em><u>Conversion:</u></em>
2.6 km to meters = 2.6 * 1000 = 2600 meters
To find the magnitude of centripetal acceleration;
First of all, we would determine the circular speed of the car using the formula;
Where;
- r represents the radius and t is the time.
Substituting into the formula, we have;
Circular speed, V = 45.38 m/s
Next, we find the centripetal acceleration;
Mathematically, centripetal acceleration is given by the formula;
Where;
- V is the circular speed (velocity) of an object.
- r is the radius of circular path.
Substituting into the formula, we have;
<em>Centripetal acceleration = 0.79 m/s²</em>