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The Expert TA 1 Human-like GX C Secure https://usf16in.theexpertta.com/common/TakeTutorialAssignment.aspx Class I Help Homework 4 Begin Date: 9/19/2018 12:01:00 AM-Due Date: 9/26/2018 11:59:00 PM End Date: 9/26/2018 11:59:00 PM (10%) Problem 7: The Sun orbits the center of the Milky Way galaxy once each 2.60 x 108 years, with a roughly circular orbit averaging 3.00 x 104 light years in radius. (A light year is the distance traveled by light in 1 y.) Assignment Status Click here for detailed view Problem Status 1 Completed | 2 Completed 3 Completed 4 Completed 5 Partial | | 50% Part (a) Calculate the centripetal acceleration of the Sun in its galactic orbit in m/s2 Grade Summary 0% 100% cos0 cotan asin acos(0 atan acotan sinh0 coshO tanh0 otanh0 sinO tan() ( Attempts remaining: 7 (0% per attempt) detailed view Degrees O Radians 10 Submit Hint Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. 50% Part (b) Calculate the average speed of the Sun in its galactic orbit in m/s. All coment © 2018 Expert TA, LLC

Explanation / Answer

given

T = 2.60*108 years = (2.60*108 y)*(365day/1y)*(8.64*103 s/1day) = 8.2*1014 s

R = 3*104 ly = (3*104 ly )*(9.48*1015 m / 1 ly) = 2.84*1020 m

(a)

we know

w = 2*pi/T

w = 2*3.14/8.2*1014

w = 7.65*10-15 rad/sec

(b)

The centripetal acceleration is given as follow,

ac = v2/R

v = R*w

ac = w2*R =  (7.65*10-15)2*(2.84*1020)

ac = 1.66*10-8 m/s2

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