A star with the mass (M = 2.0 times 10^30 kg) and size (R = 3.5 times 10^8 m) of

Question

A star with the mass (M = 2.0 times 10^30 kg) and size (R = 3.5 times 10^8 m) of our sun rotates once every 31.0 days. After undergoing gravitational collapse, the star forms a pulsar that is observed by astronomers to emit radio pulses every 0.100 s. By treating the neutron star as a solid sphere, deduce its radius. Express your answer with the appropriate units. Value Units What is the speed of a point on the equator of the neutron star? Your answer will be somewhat too large because a star cannot be accurately modeled as a solid sphere. Express your answer with the appropriate units. Value Units

Explanation / Answer

1) L = I = I = L
L = [(2/5)mR²][2/T]
L = [(2/5)mR²][2/T] = [(2/5)mR²][2/T]
R²/T = R²/T
R = R(T/T) = (3.5x10^8m)(0.1s / 2.6784x10^6s)
= 6.76286x10^4 m

2) v = (2R)/T = 2(6.76286x10^4m)/(0.1s)
=4.24923x10^6 m/s

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