ME 204 Day 7 Ch 12.7

# ME 204 Day 7 Ch 12.7 - In Class Problem The automobile is...

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In Class Problem The automobile is originally at rest when s=0. If it then starts to increase its speed at , where t is in seconds, determine the magnitudes of its velocity and acceleration at s=300 ft. Where is the car located (has it gone completely around the curve)? 100 ft 23.9° How long did it take to get there? 0 0 v a t a n A total =7.29 ft/s2 integrate integrate 200 ft 2 s ft 15 . 0 t v t a t 15 . 0 1 2 075 . 0 C t v 2 3 025 . 0 C t s 3 025 . 0 300 t sec 9 . 22 t 2 9 . 22 075 . 0 s ft 3 . 39 9 . 22 15 . 0 2 43 . 3 s ft 2 v a n 240 3 . 39 2 2 43 . 6 s ft 2 2 43 . 6 43 . 3 total a radians  length arc radians 240 100 rad 417 . 0 rad deg 180 9 . 23

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ME 204 Chapter 12.7 Continued … Curved Motion: Normal and Tangential Coordinate System

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Radius of curvature Does the radius of curvature stay the same as the plane follows this path? NO! ρ ρ 2 2 2 3 2 1 dx y d dx dy 8 . 8 . 1 2 3 2 x 8 . 5 8 . 1 2 3 2 km 6 . 87
Radius of curvature 300 ft 150 ft What is the radius of curvature here? What is the radius of curvature here? If a car were traveling around an elliptical track at a constant speed, would the driver feel any acceleration?

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