Question

Notify Me Bookmark

Hydrostatic Force: A vertical semi-circular plate is partially submerged in water as shown in the figure below, where the given dimensions are in feet. Recall that water has a weight density of 62.5 pounds per cubic foot. Set up but do not evaluate or even algebraically simplify an integral that represents the total hydrostatic force on the plate. ** Set up but do NOT evaluate**

Hydrostatic Force: A vertical semi-circular plate is partially submerged in water as shown in the figure below, where the given dimensions are in feet. Recall that water has a weight density of 62.5 pounds per cubic foot. Set up but do not evaluate or even algebraically simplify an integral that represents the total hydrostatic force on the plate. ** Set up but do NOT evaluate**

Image text
Hydrostatic Force: A vertical semi-circular plate is partially submerged in water as shown in the figure below, where the given dimensions are in feet. Recall that water has a weight density of 62.5 pounds per cubic foot.
Set up but do not evaluate or even algebraically simplify an integral that represents the total hydrostatic force on the plate.
** Set up but do NOT evaluate**

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

[PHYSICS AND ENGINEERING] Hydrostatic Force. A vertical semicircular plate is in the wall of a swimming pool. The top of the plate is 4 feet below the water level. The radius of the semicircle is 3 feet. Recall that water has a weight density of 62.5 pounds per cubic foot. Set up but DO NOT EVALUATE or even algebraically simplify an integral that represents the total hydrostatic force on the plate.

Solution
4 0

A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 10 m, the height h of air above the water level is 2 m, and the width w of the gate is 8 m. Set up an integral that can be used to find the hydrostatic force (in N) against the gate. (Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/m3.) ∫ 0 ( 1,000)(9.8) ( ) d x Find the hydrostatic force (in N ) against the gate. (Round your answer to the nearest whole number.) N
Solution
1 0

A plate whose shape is half disk of radius 8 meters is vertically submerged in water. The top of the plate is 2 m below the water level. (The dashed line segment indicates the water level.) Use ρ = 1000 kg/m3 and g = 9.8 m/s2. (a) Set up an appropriate coordinate system, draw the strip on the plate and determine its area Ak. (b) Determine the pressure Pk and force Fk experienced by the strip. (c) Set up an integral that represents the hydrostatic force experienced by the plate. The integral must contain all the details. Do not evaluate the integral.

Solution
2 0