Question

XYZ The planet XYZ travels about the star ABC in an orbit that is almost circular. Assume that the orbit is a circle with radius 95,000,000 mi. Assume there are 24 hours in one day on planet XYZ. (a) Assume that XYZ planet year is 322 days, and find the angle formed by XYZ's movement in one day. (b) Give the angular speed in radians per hour. (c) Find the linear speed of XYZ in miles per hour. ABC Not to scale (a) The angle formed by XYZ's movement in one day is radian(s). (Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (b) The angular speed is radian(s) per hour. (Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (c) The linear speed is approximately miles per hour. (Round to the nearest integer as needed.)

Answer 1

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TT 238.9498 miles/hr solution o Given that i Orbit radius=95000ooo mi XYZ ABC Nor in scal (2) e revolution = 20 radians 322 days = 20 radians I day 21 329 I day 0.019512 radians (b) Angular speed =0.01951 rad f per day 1 day = 24 hours ris 0.01951299 per hour - 24 = 8:13x10 " radians/hour -0.00081304 radinour Angular speed & radius (C) Linear speed 0.00081304 * 45000 000