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30. Velocity of a Star The space velocity v of a star relative to the sun can be expressed as the resultant vector of two perpendicular vectors-the radial velocity v, and the tangential velocity v,, where v = v, + v,. If a star is located near the sun and its space velocity is large, then its motion across the sky will also be large. Barnard's Star is a relatively close star with a distance of 35 trillion mi from the sun. It Barnard's Star Sun moves across the sky through an angle of 10,34" per year, which is the largest motion of any known star. Its radial velocity is v, 67 mi per sec toward the sun. (Source: Zeilik, M., S. Gregory, and E. Smith, Introductory Astronomy and Astrophysics, Second Edition, Saunders College Publishing, 1998; Acker, A. and C. Jaschek, Astronomical Methods and Calculations, John Wiley & Sons, 1986.) Not to scale (a) Approximate the tangential velocity v, of Barnard's Star. (Hint: Use the are length formula s = r0.) (b) Compute the magnitude of v.

30. Velocity of a Star The space velocity v of a star relative to the sun can be expressed as the resultant vector of two perpendicular vectors-the radial velocity v, and the tangential velocity v,, where v = v, + v,. If a star is located near the sun and its space velocity is large, then its motion across the sky will also be large. Barnard's Star is a relatively close star with a distance of 35 trillion mi from the sun. It Barnard's Star Sun moves across the sky through an angle of 10,34" per year, which is the largest motion of any known star. Its radial velocity is v, 67 mi per sec toward the sun. (Source: Zeilik, M., S. Gregory, and E. Smith, Introductory Astronomy and Astrophysics, Second Edition, Saunders College Publishing, 1998; Acker, A. and C. Jaschek, Astronomical Methods and Calculations, John Wiley & Sons, 1986.) Not to scale (a) Approximate the tangential velocity v, of Barnard's Star. (Hint: Use the are length formula s = r0.) (b) Compute the magnitude of v.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section: Chapter Questions
Problem 1RP: We mentioned in Section 7.5 that our algebraic treatment of vectors could be attributed, in part, to...
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30. Velocity of a Star The space velocity v of a star relative to the sun can be expressed as the resultant vector of two perpendicular vectors-the radial velocity v, and the tangential velocity v,, where v = v, + v,. If a star is located near the sun and its space velocity is large, then its motion across the sky will also be large. Barnard's Star is a relatively close star with a distance of 35 trillion mi from the sun. It Barnard's Star Sun moves across the sky through an angle of 10.34" per year, which is the largest motion of any known star. Its radial velocity is v, = 67 mi per sec toward the sun. (Source: Zeilik, M., S. Gregory, and E. Smith, Introductory Astronomy and Astrophysics, Second Edition, Saunders College Publishing, 1998; Acker, A. and C. Jaschek, Astronomical Methods and Calculations, John Wiley & Sons, 1986.) (a) Approximate the tangential velocity v, of Barnard's Star. (Hint: Use the arc length formula s = r0.) (b) Compute the magnitude of v. Not to scale
Transcribed Image Text:30. Velocity of a Star The space velocity v of a star relative to the sun can be expressed as the resultant vector of two perpendicular vectors-the radial velocity v, and the tangential velocity v,, where v = v, + v,. If a star is located near the sun and its space velocity is large, then its motion across the sky will also be large. Barnard's Star is a relatively close star with a distance of 35 trillion mi from the sun. It Barnard's Star Sun moves across the sky through an angle of 10.34" per year, which is the largest motion of any known star. Its radial velocity is v, = 67 mi per sec toward the sun. (Source: Zeilik, M., S. Gregory, and E. Smith, Introductory Astronomy and Astrophysics, Second Edition, Saunders College Publishing, 1998; Acker, A. and C. Jaschek, Astronomical Methods and Calculations, John Wiley & Sons, 1986.) (a) Approximate the tangential velocity v, of Barnard's Star. (Hint: Use the arc length formula s = r0.) (b) Compute the magnitude of v. Not to scale
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