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lyudmila [28]
3 years ago
9

A banner in the shape of an isosceles triangle is hung over the side of a building. The banner has a base of 30ft (at the roof),

a height of 20ft, and weighs 50lb. Write down an integral for the work required to lift the banner entirely onto the roof of the building.
Mathematics
1 answer:
Rashid [163]3 years ago
7 0

Answer:

W = 9600000 joules

Step-by-step explanation:

From the given information:

The area of the banner = 1/2 × 30 × 20 = 300 ft²

The mass of the banner = 300 × 50 = 15000 pounds

Now; the integral for the required work is:

W = \int^h_o F \ ds

here;

h = height of the building

F = mg = 15000g

g = 32 ft/s²

Therefore;

W = \int ^h_o 15000g \ ds

W = \int ^{20}_0 \ 15000 (32)(20)

W = 9600000 joules

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