11/15/2017 1155 PM 9.9/14 11/15/2017 03:20 PM Print 11 Calculator Periodic Table

Question

11/15/2017 1155 PM 9.9/14 11/15/2017 03:20 PM Print 11 Calculator Periodic Table Gradebook estion 11 of Sapling Learning Map You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride the incline, which is 37.5 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local that the riders' more than N 5,53 g at the bottom of the loop. For this initial phase of your design. you decide to ignore the effects of friction and air resistance t's safety regulations state phase of your design, you decide to ignore the What is the minimum radius you can use for the semi-circular hump? What is the minimum radius you can use for the vertical loop? Number R 24.2 Rp 19.7 You found the correct radius for the hump You can use the same strategy (conservation of onergyl to find the radíius of the loop. 37.5 m hgure not to scale Previous Give Up & View Soktion #Try AganNet 4 1 5 6 7 8

Explanation / Answer

b)At the bottom of the loop

E = m g h + 1/2 m v^2

E = M x 9.81 x 37.5 + 0.5 x M x 11.9^2 = 438.68 M

From conservation of energy

1/2 M v^2 = 438.68 M

v = sqrt (2 x 438.68) = 29.62 m/s

a = 5.53 g = 5.53 x 9.81 = 54.25 m/s^2

also, a = v^2/r => r = v^2/a

r = 29.62^2/54.25 = 16.17 m

Hence, r = 16.17 m

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