Question

A triangular plate with base 6 m and height 2 m is submerged vertically in water such that the highest vertex of the plate is 4 meters below the surface and the base is horizontal to the surface. 4 m 2 m 6 m Express the hydrostatic force against one side of the plate as an integral (let the positive direction be downward) and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s² for the acceleration due to gravity. Recall that the mass density of water is 1,000 kg/m³.) $int_0^2 ho g left( 3(x^2 - 8x + 12) ight) dx approx 313600$ N

          A triangular plate with base 6 m and height 2 m is submerged vertically in water such that the highest vertex of the plate is 4 meters below the surface and the base is horizontal to the surface.

4 m
2 m
6 m
Express the hydrostatic force against one side of the plate as an integral (let the positive direction be downward) and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s² for the acceleration due to gravity. Recall that the mass density of water is 1,000 kg/m³.)
$int_0^2 
ho g left( 3(x^2 - 8x + 12) 
ight) dx approx 313600$ N

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A triangular plate with base 6 m and height 2 m is submerged vertically in water such that the highest vertex of the plate is 4 meters below the surface and the base is horizontal to the surface.

4 m
2 m
6 m
Express the hydrostatic force against one side of the plate as an integral (let the positive direction be downward) and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s² for the acceleration due to gravity. Recall that the mass density of water is 1,000 kg/m³.)
int0^2
ho g left( 3(x^2 - 8x + 12)
ight) dx approx 313600 N

Added by Cody O.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

10/17/2022

Step 1

- Base of the triangular plate, \( b = 6 \) m - Height of the triangular plate, \( h = 2 \) m - Depth of the highest vertex below the water surface, \( d = 4 \) m - Acceleration due to gravity, \( g = 9.8 \) m/s\(^2\) - Density of water, \( \rho = 1000 \) Show more…

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A triangular plate with base 6 m and height 2 m is submerged vertically in water such that the highest vertex of the plate is 4 meters below the surface and the base is horizontal to the surface. Express the hydrostatic force against one side of the plate as an integral (let the positive direction be downward) and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s^2 for the acceleration due to gravity. Recall that the mass density of water is 1,000 kg/m^3.)

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