Question

In: Mechanical Engineering

A zero-momentum spin stabilized satellite has a momentum wheel spinning at 5000 rpm. The angular momentum...

A zero-momentum spin stabilized satellite has a momentum wheel spinning at 5000 rpm. The angular momentum of the wheel is 100 N-m-sec.

a) What is the spin rate of the satellite if its moment of inertia is 500 kg-m2?

b) What is the moment of inertial of the wheel?

c) If there were a problem with the wheel and it was stopped, what would be the spin rate of the satellite?

d) Assuming the problem was fixed, how long would it take to get back up to a speed of 4000 rpm applying a motor torque of 0.1 N-m?

e) What would the new spin rate of the satellite be?

Solutions

Expert Solution


Related Solutions

An electron has spin angular momentum and orbital angular momentum. For the 4 d electron in...
An electron has spin angular momentum and orbital angular momentum. For the 4 d electron in scandium, what percent of its total orbital angular momentum is its spin angular momentum in the z direction?
An electron has spin angular momentum and orbital angular momentum. For the 3.00 d electron in...
An electron has spin angular momentum and orbital angular momentum. For the 3.00 d electron in scandium, what percent of its total orbital angular momentum is its spin angular momentum in the z direction?
given an electron has orbital angular momentum and spin angular momentum, l and s respectively. given...
given an electron has orbital angular momentum and spin angular momentum, l and s respectively. given the following relations: [lx,ly] = ih(bar)lz , [ly,lz] = ih(bar)lx , [lz,lx] = ih(bar)ly [sx,sy]= ih(bar) sz , [sy,sz] = ih(bar)sx , [sz, sy\ = ih(bar)sy (a) prove first that for an arbitary operator A, B that AB=BA+[A,B] (b) show that [lx,l^2] = 0 where l^2 = l*l = lx^2 + ly^2 + lz^2 (c) show that similarly, [ly,l^2]=0 and [lz,l^2]=0 (d)given that the...
A wheel on an indoor exercise bike (a spinning bike) accelerates steadily from 130 rpm to...
A wheel on an indoor exercise bike (a spinning bike) accelerates steadily from 130 rpm to 280 rpm in 5.0 s . The radius of the wheel is 47 cm. Determine the tangential component of the linear acceleration of a point on the edge of the wheel 2.0 s after it has started accelerating.
A: What is the angular momentum of a figure skater spinning at 3.4 rev/s with arms...
A: What is the angular momentum of a figure skater spinning at 3.4 rev/s with arms in close to her body, assuming her to be a uniform cylinder with a height of 1.4 m , a radius of 15 cm , and a mass of 48 kg ? **Express your answer using three significant figures and include the appropriate units B: How much torque is required to slow her to a stop in 4.5 s , assuming she does not...
a) Calculate, in units ofℏ, the magnitude of the maximum total (orbital+spin) angular momentum for an...
a) Calculate, in units ofℏ, the magnitude of the maximum total (orbital+spin) angular momentum for an electron in a hydrogen atom for states with a principal quantum number of 5. b) An electron initially in a 4p state decays to a lower energy state. Which energy state is forbidden? (pick one): 1s, 2s, 3d, or 2p? Why? c) What is the total number of electrons that can occupy a subshell for a given amount of orbital angular momentum l? Write...
a) Calculate, in units of ℏ, the magnitude of the maximum total (orbital+spin) angular momentum for...
a) Calculate, in units of ℏ, the magnitude of the maximum total (orbital+spin) angular momentum for an electron in a hydrogen atom for states with a principal quantum number of 5. b) An electron initially in a 4p state decays to a lower energy state. Which energy state is forbidden? (pick one): 1s, 2s, 3d, or 2p? Why? c) What is the total number of electrons that can occupy a subshell for a given amount of orbital angular momentum l?...
Calculate the coupled eigenstates that result from the coupling of orbital angular momentum ?=2 with spin...
Calculate the coupled eigenstates that result from the coupling of orbital angular momentum ?=2 with spin angular momentum ?=1/2. HINT: You may freely use results from Ch. 7 in N. Zettili’s book, including results from the solved problems. Simply quote exactly which result you are using each time.
What happens when a spinning ice skater draws in her outstretched arms? (a) her angular momentum...
What happens when a spinning ice skater draws in her outstretched arms? (a) her angular momentum decreases (b) her angular momentum increases (c) her rotational speed decreases (d) her rotational speed increases
A wheel of radius 8 inches is rotating 15°/s. What is the linear speed v, the angular speed in RPM, and the angular speed in rad/s?
A wheel of radius 8 inches is rotating 15°/s. What is the linear speed v, the angular speed in RPM, and the angular speed in rad/s?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT