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sarahmkey6
10.03.2020 •
Physics
A neutron star is an extremely dense, rapidly spinning object that results from the collapse of a massive star at the end ofits life. A neutron star with 13 times the Sun's mass has an essentially uniform density of 4.8 x 1017 kg/ m3. (a) What's itsrotational inertia? (b) The neutron star's spin rate slowly de-creases as a result of torque associated with magnetic forces. Ifthe spin-down rate is 5.6 x 10-5 rad/s2, what's the magnitude of the magnetic torque?
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Ответ:
(a). The rotational inertia is![5.72\times10^{39}\ kg m^2](/tpl/images/0540/4474/c3105.png)
(b). The magnitude of the magnetic torque is![3.20\times10^{35}\ N-m](/tpl/images/0540/4474/5e075.png)
Explanation:
Given that,
Mass of neutron![M_{n}= 13M_{s}](/tpl/images/0540/4474/8f4b5.png)
Density of neutron![\rho=4.8\times10^{17}\ kg/m^3](/tpl/images/0540/4474/c5163.png)
(a). We need to calculate the rotational inertia
Using formula of rotational inertia for sphere
We know that,
Put the value of volume
Put the value of R in equation (I)
Put the value into the formula
The rotational inertia is
.
(b). We need to calculate the magnitude of the magnetic torque
Using formula of torque
Put the value into the formula
The magnitude of the magnetic torque is![3.20\times10^{35}\ N-m](/tpl/images/0540/4474/5e075.png)
Hence, (a). The rotational inertia is![5.72\times10^{39}\ kg m^2](/tpl/images/0540/4474/c3105.png)
(b). The magnitude of the magnetic torque is![3.20\times10^{35}\ N-m](/tpl/images/0540/4474/5e075.png)
Ответ: