For your third task, you need to determine the nanosatellite's angle of rotation (0) as a function of rotation time (t). As a chemical engineer, you are the chief researcher regarding the fuel used to propel Maya-1 while in orbit. It is aimed for the nanosatellite to have minimal wiggling and controlled rotation. Since the fuel is burned in low-oxygen environment, its instantaneous rotational velocity (w), which is the first derivative of the angle of rotation with respect to time, depends on the combustion power divided by the torque of the emissions from the reaction. There are two (2) potential fuels: hydrogen peroxide (H₂O2) and hydrazine (N₂H4). The following table summarizes the equations for the power and torque of both fuels. Fuel H₂O₂ N₂H4 Power (2-0) e In (1) + 50t 0+1 +1+2 cos()sinh(0)+ 1² In (1) Torque 213л 500 1 10 50 00+1 (0+1) T a. If both fuels have resulted to an angle of rotation of rad within 0.5 s, how long will it take for each fuel to spin the 36 nanosatellite to an angle of rotation of 8₁? Let 01 be equal to rad. 21 0
For your third task, you need to determine the nanosatellite's angle of rotation (0) as a function of rotation time (t). As a chemical engineer, you are the chief researcher regarding the fuel used to propel Maya-1 while in orbit. It is aimed for the nanosatellite to have minimal wiggling and controlled rotation. Since the fuel is burned in low-oxygen environment, its instantaneous rotational velocity (w), which is the first derivative of the angle of rotation with respect to time, depends on the combustion power divided by the torque of the emissions from the reaction. There are two (2) potential fuels: hydrogen peroxide (H₂O2) and hydrazine (N₂H4). The following table summarizes the equations for the power and torque of both fuels. Fuel H₂O₂ N₂H4 Power (2-0) e In (1) + 50t 0+1 +1+2 cos()sinh(0)+ 1² In (1) Torque 213л 500 1 10 50 00+1 (0+1) T a. If both fuels have resulted to an angle of rotation of rad within 0.5 s, how long will it take for each fuel to spin the 36 nanosatellite to an angle of rotation of 8₁? Let 01 be equal to rad. 21 0
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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![For your third task, you need to determine the nanosatellite's angle of rotation (0) as a function of rotation time (t).
As a chemical engineer, you are the chief researcher regarding the fuel used to propel Maya-1 while in orbit. It is aimed for
the nanosatellite to have minimal wiggling and controlled rotation. Since the fuel is burned in low-oxygen environment, its
instantaneous rotational velocity (w), which is the first derivative of the angle of rotation with respect to time, depends on
the combustion power divided by the torque of the emissions from the reaction. There are two (2) potential fuels: hydrogen
peroxide (H2O2) and hydrazine (N2H4). The following table summarizes the equations for the power and torque of both fuels.
Fuel
Power
Torque
(2-0t)e"
In (t)
cos (0)sinh (0)+
H2O2
50t
+++2
0+1
1
10
50
21
r* In (1)
N2H4
-
0' 0+1 (0+1)* ] 0
a. If both fuels have resulted to an angle of rotation of
rad within 0.5 s, how long will it take for each fuel to spin the
36
2137
rad.
500
nanosatellite to an angle of rotation of 0,? Let 01 be equal to](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc90a176d-2352-41e1-b42d-20c05c84bd51%2Ffcef23e5-c67c-4b4b-80cc-f5c637ceb266%2Fndrwm6s_processed.png&w=3840&q=75)
Transcribed Image Text:For your third task, you need to determine the nanosatellite's angle of rotation (0) as a function of rotation time (t).
As a chemical engineer, you are the chief researcher regarding the fuel used to propel Maya-1 while in orbit. It is aimed for
the nanosatellite to have minimal wiggling and controlled rotation. Since the fuel is burned in low-oxygen environment, its
instantaneous rotational velocity (w), which is the first derivative of the angle of rotation with respect to time, depends on
the combustion power divided by the torque of the emissions from the reaction. There are two (2) potential fuels: hydrogen
peroxide (H2O2) and hydrazine (N2H4). The following table summarizes the equations for the power and torque of both fuels.
Fuel
Power
Torque
(2-0t)e"
In (t)
cos (0)sinh (0)+
H2O2
50t
+++2
0+1
1
10
50
21
r* In (1)
N2H4
-
0' 0+1 (0+1)* ] 0
a. If both fuels have resulted to an angle of rotation of
rad within 0.5 s, how long will it take for each fuel to spin the
36
2137
rad.
500
nanosatellite to an angle of rotation of 0,? Let 01 be equal to
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