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User:Isarl - Wikipedia, the free encyclopedia

User:Isarl

From Wikipedia, the free encyclopedia

The following are calculations involved in a non-spill wheelchair cupholder. Shiny.

$\theta=\arcsin \left ( \frac{x}{x+y} \right )$ $\theta=\arcsin \left ( \frac{9.2}{9.2+11.2} \right )$ $\theta \approx 26.8^\circ$ $\varphi = 90 - \theta \approx 63.2^\circ$

$Σ F y = 0$ $2 F p i n - F g = 0$ $F_{pin} = \frac{F_g}{2}$ $F_{pin} = \frac{mg}{2}$ $F_{pin} = \frac{9.81}{2} \left ( m_{frame} + m_{shell} + m_{coaster} + m_{sleeve} + m_{drink} + m_{weight} \right )$ $F_{pin} = \frac{9.81}{2} \left ( (.0012)(464.05) + (.0012)(180.08) + (.0012)(49.29) + 0.05 kg + 1 kg + 0.5 kg \right )$ $F_{pin} \approx 11.68 N$

$S u r f a c e A r e a = (c i r c u m f e r e n c e + t o l e r a n c e) * h e i g h t$ $S u r f a c e A r e a = (π d + 10) * 7$ $S u r f a c e A r e a = (10π + 10) * 7$ $Surface Area \approx 42*7 = 294 cm^2$

$Σ F d o w n = Σ F u p$ $2 F g, p i n + 2 F p i n + F g, y - b a r = F s c r e w$ $F s c r e w = 2(.0185 * 9.81) + 2(11.68) + (9.81 * .0012 * 325.73)$ $F_{screw} \approx 27.566 N$

$m p i n = d e n s i t y * v o l u m e$ $m_{pin} = \frac{.284 lb}{1 in^3} * \frac{.45359 kg}{1 lb} * \frac{1 in^3}{16.39 cm^3} * 2.3562 cm^3$ $m_{pin} \approx 0.0185 kg$

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