If a protostellar disk is 210 AU in radius and the disk plus the forming star together contain 4 solar masses, what is the orbital speed at the outer edge of the disk in kilometers per second? (Hint: Use the circular orbital velocity formula

If a protostellar disk is 210 AU in radius and the disk plus the forming star together contain 4 solar masses, what is the orbital speed at the outer edge of the disk in kilometers per second? (Hint: Use the circular orbital velocity formula

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Question

If a protostellar disk is 210 AU in radius and the disk plus the forming star together contain 4 solar masses, what is the orbital speed
at the outer edge of the disk in kilometers per second? (Hint: Use the circular orbital velocity formula V.
GM
.)

Expert Solution

Step 1

the orbital speed is,

$v = \sqrt{\frac{G M}{r}}$

one solar mass is $1.989 \times 10^{30} kg$ and 1 AU is $1.496 \times 10^{11} m$ .

thus,

$v = \sqrt{\frac{G (4 M_{s o l a r})}{r}}$

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