Quiz%205%20%28Ch5%29%20solutions

Quiz%205%20%28Ch5%29%20solutions - = = ( 29 6 1 1 2 4.511...

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Student name________________________________________ Student NID__________________________________________ PHY 2053C-0001 Quiz, Feb. 25, 2011 1) The earth rotates once per day about an axis that is perpendicular to the plane of the equator. Assuming the earth is a sphere with a radius of 6.38 × 10 6 m, determine the speed and centripetal acceleration of a person situated (a) at the equator and (b) at a latitude of 45.0 o north of the equator. a) ( 29 6 2 6.38 10 m 2 r v 464m / s T 24 60 60s π × = = = × × 2 2 c v a 0.0337m / s r = = b) At 45 o from the equator, the radius of rotation is o 6 1 r r cos45 4.511 10 m
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Unformatted text preview: = = ( 29 6 1 1 2 4.511 10 m 2 r v 328m / s T 24 60 60s = = = 2 2 1 c,1 v a 0.0238m / s r = = 2) At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant the outer wall moves at a speed of 4.5 m/s, and an 81.8-kg person feels a 662-N force pressing against his back. What is the radius of a chamber? 2 c c v F m r = ( 29 ( 29 2 2 c c 81.8kg 4.5m / s mv r 2.5m F 662N = = =...
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