09_InstSolManual_PDF_Part2 - s 5 240 s v 1 t 5 v 2 t 1 2 p...

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(b) Reflect: The angular speed and period don’t depend on the radius of the wheel. 9.6. Set Up: (a) The period is (b) The period is (c) The period is Solve: (a) (b) (c) 9.7. Set Up: The number of days from Jan. 27 to Mar. 14 is 46 days. The earth moves through 360° in 365.3 days. Solve: 9.8. Set Up: The earth makes one revolution in Solve: (a) The period must be 24 h. (b) 9.9. Set Up: Period Solve: (a) (b) (c) (d) For the propeller rotating at 1900 rpm, Reflect: The period is inversely proportional to the angular velocity. 9.10. Set Up: Aligned means for the same t , when hand 1 has turned through some integer number of revolutions more than hand 2. Solve: (a) The first alignment is when and This gives and (b) The second alignment is when and 9.11. Set Up: Solve: (a) gives (b) u 2 u 0 5 v 0 t 1 1 2 a t 2 5 1 2 1 2.33 rad / s 2 21 3.50 s 2 2 5 1 14.27 rad 2 1 360° 2 p rad 2 5 818° a 5 v 2 v 0 t 5 8.17 rad / s 2 0 3.50 s 5 2.33 rad / s 2 v 5 v 0 1 a t v 5 1 78.0 rpm 2 1 2 p rad 1 rev 21 1 min 60 s 2 5 8.17 rad / s v 0 5 0. t 5 2 1 2 p rad 2 v 1 2 v 2 5 480 s u 1 5 u 2 1 2 1 2 p rad 2 t 5 2 p rad v 1 2 v 2 5 2 p rad 0.0425 rad / s 2 0.0163 rad / s 5
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Unformatted text preview: / s 5 240 s v 1 t 5 v 2 t 1 2 p rad u 2 5 v 2 t . u 1 5 v 1 t u 1 5 u 2 1 2 p rad. u 1 5 u 2 1 n 1 2 p rad 2 T 5 2 p rad v 5 2 p rad 199 rad / s 5 0.032 s. 1 18 rad / s 2 1 60 s 1 min 21 1 rev 2 p rad 2 5 172 rpm t 5 u 2 u v 5 0.611 rad 199 rad / s 5 3.1 3 10 2 3 s 35° 5 1 35° 21 p / 180° 2 5 0.611 rad. v 5 1 1900 21 2 p rad / 60 s 2 5 199 rad / s u 2 u 5 v t . T 5 2 p v . 1 rpm 5 1 2 p / 60 2 rad / s. v 5 u t 5 2 p rad 8.64 3 10 4 s 5 7.27 3 10 2 5 rad / s 24 h 5 8.64 3 10 4 s. 1 rev 5 2 p rad. 1 360° 2 46 days 365.3 days 5 45.3° v 5 2 p rad 2.359 3 10 6 s 5 2.66 3 10 2 6 rad / s v 5 2 p rad 3.156 3 10 7 s 5 1.99 3 10 2 7 rad / s v 5 2 p rad 86,400 s 5 7.27 3 10 2 5 rad / s v 5 u t 27.3 days 5 2.359 3 10 6 s. 1 yr 5 3.156 3 10 7 s. 24 h 5 86,400 s. 1 rev 5 2 p rad. v 5 u t 5 2 p rad 2.25 s 5 2.79 rad / s 9-2 Chapter 9...
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