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endChapter5 - 1 sec 3600 1 10 sec 1 101 2 65 5 Example A...

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Example: How high above the surface of the Earth does a satellite need to be so that it has an orbit period of 24 hours? From the force in Universal law of gravity and the force due to the acceleration in rotation in the orbit we got From the veloc ity in a rotation we got So 3 2 2 3 2 2 2 2 2 3 4 4 4 e e e GM T r r GM T T r v r GM m E m E r h m E s kg E kg m N E r 04 6 . 3 06 37 . 6 07 225 . 4 4 ) 3600 24 ( ) 24 95 . 5 ( ) / . 11 67 . 6 ( 2 2 2 2 Example: a) What is the minimum speed for the car so that it maintains contact with the loop when it is in the pictured position? b)How its compares to the speed at the bottom of the loop a) ) ( 2 2 g r v m N r v m ma mg N w N F r y The minimum speed is obtained when N=0, then rg v for N 0 one gets rg v So rg v is the mini mum speed to make it around the loop r N w y x T r v 2 r GM v e
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b)At the bottom of the loop ) ( 2 2 g r v m N r mv mg N F y and N>mg Example: Your car’s wheels are 65 cm in diameter and are spinning at =101 rads/sec. How fast in km/hour is the car traveling, assuming no slipping? h km h cm m rad cm r v / 118 1 sec 3600 1 10 sec 1 101 2 65 5 Example
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Unformatted text preview: 1 sec 3600 1 10 sec 1 101 2 65 5 Example : A space station is shaped like a ring and rotates to simulate gravity. If the radius of the space station is 120m, at what frequency must it rotate so that it simulates Earth’s gravity? rpm s Hz s rad f f T s rad m s m mr N r m N F y 7 . 2 60 045 . 045 . 2 / 29 . 2 2 2 / 29 . 120 / 8 . 9 r g mg N but ; 2 2 Example : A high speed dental drill is rotating at 3.14 104 rads/sec. Through how many degrees does the drill rotate in 1.00 sec? = 0 so one can write N w y x degrees 10 1.80 rads 10 14 . 3 sec . 1 rads/sec 10 14 . 3 2 1 6 4 4 2 t t t t This document was created with Win2PDF available at http://www.win2pdf.com. The unregistered version of Win2PDF is for evaluation or non-commercial use only. This page will not be added after purchasing Win2PDF....
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