Answer:
a) L = 2.10x10⁴⁰ kg*m²/s
b) τ = 1.12x10²⁴ N.m
Explanation:
a) The angular momentum (L) of the pulsar can be calculated using the following equation:
<u>Where:</u>
I: inertia momentum
ω: angular velocity
First we need to calculate ω and I. The angular velocity can be calculated as follows:
<u>Where:</u>
T: is the period = 33.5x10⁻³ s
The inertia moment of the pulsar can be calculated using the following relation:
<u>Where</u>:
m: is the mass of the pulsar = 2.8x10³⁰ kg
r: is the radius = 10.0 km
Now, the angular momentum of the pulsar is:
b) If the angular velocity decreases at a rate of 10⁻¹⁴ rad/s², the torque of the pulsar is:
<u>Where:</u>
α: is the angular acceleration = 10⁻¹⁴ rad/s²
I hope it helps you!