A person, 175 lbm, wants to fly (hoover) on a 4 lbm skateboard of size 2 ft by 0.8 ft. How large a gauge pressure under the board is needed?

Respuesta :

Answer:

[tex]p = 15260.643 \ lbf/ft^2[/tex]

Explanation:

person weight is 175 lbm

weight of stake board 4lbm

size of stakeboard = 2ft by 0.8 ft

area of stakeboard is [tex]2*0.8 ft^2 = 1.6 ft^2[/tex]

gauge pressure is given as

[tex]p =\frac{ w_p+w_s}{A} g[/tex]

where is g is acceleration due to gravity =  32.17 ft/sec^2

puttng all value to get pressure value

   [tex]= \frac{175 +4}{1.6}* 32.17[/tex]

[tex]p = 15260.643 \ lbf/ft^2[/tex]