1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nikitadnepr [17]
3 years ago
9

A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Expre

ss the hydrostatic force against one side of the plate as an integral 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 weight density of water is 1000 kg/m3.)
Mathematics
1 answer:
g100num [7]3 years ago
6 0

Answer:

Hydrostatic Force = 35.28KN

Step-by-step explanation:

To solve this question, let's consider integrating the hydrostatic force from the top of the triangle to the bottom.

Formula for a thin horizontal slice of the triangle the force is;

δF=ρgxwδx

Where w is width of triangle; ρ is density of water and g is acceleration due to gravity

At depth x, the width of the triangle is w=2/3x.

Thus, F = (3,0)∫)ρgxwδx

=(2/3)ρg[(3,0)∫)x²δx]

= integrating, we have;

F = (2/3)ρg[(3³/3) - (0³/3)]

F = (2/5)ρg [27/3] = (2/5)(1000)(9.8)(9) = 35280 N = 35.28 KN

You might be interested in
The ratio of males to females in a cycling club is 5:3.
taurus [48]

Answer:

3/2

Step-by-step explanation:

The ratio of males to females in a cycling club is 5:3.

1/3 of the males are under 18

2/9 of the females are under 18

The fraction of the club members that are under 18 is calculated as:

Male: Female = Male/Female

We are told in the above question:

1/3 of the males are under 18

2/9 of the females are under 18

Hence:

1/3 / 2/9

= 1/3 ÷ 2/9

= 1/3 × 9/2

= 3/2

The fraction of the club members that are under 18 is 3/2

6 0
3 years ago
Shannon collects rainwater to water her flowers. She has one bucket with 3.4 gallons of water and another with 1.85 gallons less
lukranit [14]

Answer:

3.4-1.85 = 1.55       3.4+1.55=4.95

Step-by-step explanation:

5 0
2 years ago
Jake rewrites the expression 81x2 – 1 as a difference of squares so he can factor it. Which answer choice shows how Jake could r
patriot [66]
Letter B
Different of 2 squares
(9x-1)(9x+1)
3 0
2 years ago
Use operations of decimal, fraction, and percent numbers to model the following scenarios. In your final answer, include only an
Helen [10]
$34*.15= 5.1 off
34-5.1= $28.99
It doesn't leave % to tip so no tip included. It also didn't leave % to tax.
5 0
2 years ago
Which one is the term that does NOT have a like term<br> Explain<br> 9x + 5y + 8 + 3x + 5
Delicious77 [7]

Answer:

5y

Step-by-step explanation:

because there are no other terms with a y

8 0
2 years ago
Other questions:
  • Solve and simplify<br> 3. (y^2-7y-5)-(-3y^2+3y-4)
    11·1 answer
  • On which of the following lines does the point (7, 1) lie?
    5·1 answer
  • a bag of change 4 nickles,1 quarter,5 dimes,and 15 pennies .what is the probability of choosing a nickel
    11·2 answers
  • Clare has 8 fewer books than Mai. if mai has 26 books how many books does has Clara have?
    10·2 answers
  • Use an equation to find the value of k
    15·1 answer
  • HELP ASAPPPPPP! I HAVE BEEN WAITING FOR 20 MIN PLS HELP ME! A prism and two nets are shown below: Image of a right triangular pr
    8·1 answer
  • What is the solution set of the given system?
    5·1 answer
  • Aidan looked at how many people ride the morning
    10·1 answer
  • It takes Carleen 2 hours to paint 5 posts. Which equation could be solved to determine how many hours, h, it takes Carleen to pa
    7·2 answers
  • What happens if the slope is undefined? Provide an example of two points that would be on a line with an undefined slope.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!