Cross-Sectional Area

posted by .

The cross-sectional area of a beam cut from a log with radius 1 foot is given by the function A(x) = 4x(sqrt{1 - x^2}), where x represents the length of half the base of the beam. Determine the cross-sectional area of the beam if the length of half the base of the beam is 1/3 of a foot.

  • Cross-Sectional Area -

    A = 4 (1/3)sqrt (1 - 1/9)
    = (4/3)sqrt (8/9)
    = (4/3)sqrt (4 *2/9)
    = (4/3)(2/3) sqrt(2)
    = (8/9)sqrt(2)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. maths help

    Hi MY question is if a cylinder has a volume of 72cm cubed and a cross-sectional area of 18cm squared. Work out the height of the cylinder Can someone show me how we do it by the steps The volume of a cylinder is given by volume = …
  2. physics

    Water flows steadily from an open tank into a pipe. The elevation of the top of the tank is 10.2 m, and the elevation at the pipe is 3.90 m. The initial cross-sectional area of the pipe is 6.40×10^−2 m; and at where the water …
  3. College Physics

    A wire P has resistance R. If the wire is stretched and its length is increased by 10%, what would be the percentage change in its resistance?
  4. Physics

    Two wires have the same length and the same resistance but are made up of different materials. The resistivities of these materials are 3.97 Ù and 1.97 Ù. Obtain the ratio of the smaller cross-sectional area to the greater cross-sectional …
  5. Physics

    A wire of cross-sectional area 5.00x10^-6 m^2 has a resistance of 1.75 ohm. what is the resistance of a wire of the same material and length as the first wire, but with a cross-sectional area of 8.75x10^-6 m^2?
  6. physics

    I=0.5E0EO²C where E0 is the permitivity of the vacuum and C is the velocity of light. a)Show that the units of the equetion are consistant b)A certain helium-neon laser emits 0.20mW in a beam of cross sectional area 3.0mm.Determine …
  7. Statics

    A rectangular beam, with cross-sectional width b, height h, Young's modulus Erect, has the same flexural rigidity as a circular beam with the same cross-sectional area. What is the Young's modulus, Ecirc, of the circular beam in terms …
  8. physics

    The diffusion rate for a solute is 4.0E-11 kg/s in a solvent-filled channel that has a cross-sectional area of 0.50 cm^2 and a length of 0.220 cm. What would be the diffusion rate m/t in a channel with a cross-sectional area of 0.30 …
  9. Physics

    Blood flows in an aorta of radius 4.62mm at 35.0cm/s. Calculate the volume flow rate. Although the cross-sectional area of a capillary is much smaller than that of the aorta, there are many capillaries, so their total cross-sectional …
  10. physics

    Blood flows in an aorta of radius 4.12mm at 35.0cm/s. Calculate the volume flow rate. Although the cross-sectional area of a capillary is much smaller than that of the aorta, there are many capillaries, so their total cross-sectional …

More Similar Questions