Solved Problems for Assignment 1 - Mechanics II- Dynamics | ME 206, Assignments of Dynamics

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Problem 12.8 High-speed “bullet trains” began run- ning between Tokyo and Osaka, Japan, in 1964. If a bullet train travels at 240 km/hr, what is its velocity in mi/hr to three significant digits? Solution: Convert the units using Table 12.2. The results are kin f Lmile ft) ¢ 1000 m 240 (— } (——= |) ( —— ) (—— 240 ( hr ) (sm =) ( 0.3048 m i 1 km ) = 149,12908 (=) ie 1 (=) ir WT Problem 12.19 If the earth is modeled as a homoge- nous sphere, the velocity of a satellite in a circular orbit where Az is the radius of the earth and r is the radius of the orbit. (a) Tf ¢ is in m/s? and &p and ¢ are in meters, what are the units of uv? (by) If Ry = 6370 km and r = 6670 km, what is the value of 1» to three significant digits? (c) Forthe orbit described in Part (b), what is the value of wv in mi/s to three significant digits? jon: For (a), substitute the units into the expression and reduce (ran) Hence, the unils are m/s, For (b), substitute the numerical values into the expression, using m g=9.81(—). (3) Ty) foun 3 \\2 (9-815) ((6370 kr (10° }) (6670 km) (1° =) (=) = 7.7252 (10%) (2) (by v= 770(=) For (¢), convert units using Table 12.2. The result: 1 aro (2) ia L mile ie = (5) (warm) (sem7 = 4803 (=) =480(=) s 5 ME 206 - Prater Problem Set 1 Solutions Page 1/8