phsx205_hw05_solutions

phsx205_hw05_solutions - Phys 205 Chapter 5 Solutions 5.3...

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5.12 When a ﬁghter pilot makes a quick turn, he experiences a centripetal acceleration. When this acceleration is greater than about 8 × g , the pilot will usually lose consciousness (“black out”). consider a pilot ﬂying at a speed of 900 m/s who wants to make a sharp turn. What is the minimum radius of curvature she can take without blacking out? This is a kinematics of uniform circular motion problem. (a) Given: Maximum centripetal acceleration: a c = 8 × g = 78 . 4 m / s 2 Tangential speed: v = 900 m / s We want to ﬁnd the minimum radius of curvature which corresponds to the maximum centripetal acceleration. Use Equation 5.5. a c = v 2 r r = v 2 a c r = (900 m / s) 2 78 . 4 m / s 2 = 1 . 0 × 10 4 m The minimum radius is roughly 10 km. 5.14 The Daytona 500 stock car race is held on a track that is approximately 2.5 mi long, and the turns are banked at an angle of 31 . It is currently possible for cars to travel through the turns at a speed of 180 mi/h. Assuming these cars are on the verge of slipping into the outer wall of the racetrack (because they are racing!), ﬁnd the
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This note was uploaded on 02/26/2011 for the course PHYS 205 taught by Professor Marko during the Spring '11 term at York University.

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phsx205_hw05_solutions - Phys 205 Chapter 5 Solutions 5.3...

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