Pulsars—the rapidly rotating neutron stars described in Example 11.2—have magnetic fields that interact with charged particles in the surrounding interstellar medium. The result is torque that causes the pulsar’s spin rate and therefore its angular momentum to decrease very slowly. The table below gives values for the rotation period of a given pulsar as it’s been observed at the same date every 5 years for two decades. The pulsar’s rotational inertia is known to be 1.12 × 10 38 kg · m 2 . Make a plot of the pulsar’s angular momentum over time, and use the associated best-fit line, along with the rotational analog of Newton’s law, to find the torque acting on the pulsar. Year of observation 1995 2000 2005 2010 2015 Angular momentum (l0 37 kg · m 2 /s) 7.844 7.831 7.816 7.799 7.787
Pulsars—the rapidly rotating neutron stars described in Example 11.2—have magnetic fields that interact with charged particles in the surrounding interstellar medium. The result is torque that causes the pulsar’s spin rate and therefore its angular momentum to decrease very slowly. The table below gives values for the rotation period of a given pulsar as it’s been observed at the same date every 5 years for two decades. The pulsar’s rotational inertia is known to be 1.12 × 10 38 kg · m 2 . Make a plot of the pulsar’s angular momentum over time, and use the associated best-fit line, along with the rotational analog of Newton’s law, to find the torque acting on the pulsar. Year of observation 1995 2000 2005 2010 2015 Angular momentum (l0 37 kg · m 2 /s) 7.844 7.831 7.816 7.799 7.787
Pulsars—the rapidly rotating neutron stars described in Example 11.2—have magnetic fields that interact with charged particles in the surrounding interstellar medium. The result is torque that causes the pulsar’s spin rate and therefore its angular momentum to decrease very slowly. The table below gives values for the rotation period of a given pulsar as it’s been observed at the same date every 5 years for two decades. The pulsar’s rotational inertia is known to be 1.12 × 1038 kg · m2. Make a plot of the pulsar’s angular momentum over time, and use the associated best-fit line, along with the rotational analog of Newton’s law, to find the torque acting on the pulsar.
Year of observation
1995
2000
2005
2010
2015
Angular momentum
(l037 kg · m2/s)
7.844
7.831
7.816
7.799
7.787
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
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