Rotational Kinematics Question Homework Help needed

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SUMMARY

The discussion focuses on calculating the tangential speed and the time required for the sun to complete one revolution around the Milky Way Galaxy. The radius of the sun's orbit is 2.2x1020 m, and its angular speed is 1.2x10-15 rad/s. To find the tangential speed (VT), the formula VT = r(ω) is applied. For the time taken for one revolution, the relationship between angular displacement and angular speed is utilized, specifically using θ = ωt.

PREREQUISITES
  • Understanding of rotational kinematics
  • Familiarity with angular speed and tangential speed concepts
  • Knowledge of the relationship between angular displacement and time
  • Basic proficiency in using formulas for circular motion
NEXT STEPS
  • Calculate the tangential speed of the sun using the formula VT = r(ω)
  • Determine the time for one complete revolution using the formula t = θ/ω
  • Explore the concept of angular displacement in circular motion
  • Investigate the implications of the sun's orbit on galactic dynamics
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Students studying physics, particularly those focusing on rotational motion and celestial mechanics, as well as educators seeking to clarify concepts related to angular speed and tangential velocity.

rmarkatos
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Our sun rotates in a circular orbit about the center of the Milky Way Galaxy. The radius of the orbit is 2.2x10^20 m, and the angular speed of the sun is 1.2x10^-15 rad/s. (a) What is the tangential speed of the sun? (b) How long (in years) does it take for the sun to make one revolution around the center?

(a) for part a all i did was VT=r(w) w=omega

(b) for this part since we know the constant speed is 1.2x10^-15 rad/s and since its one revolution theta should equal 2(pi) radians so am i supposed to use w(omega)= 0(theta)/t(time)

is this correct?
 
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