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
Contact [7]
3 years ago
14

A rigid dam is composed of material of SG = 5 . The dam height is 20 m . What is the minimum thickness b of the dam necessary to

prevent it from tipping about the point O when the water reaches the top of the dam considering unit width? Assume that the maximum hydrostatic pressure acts over the bottom of the dam.
Physics
1 answer:
Kay [80]3 years ago
3 0

Answer:

b = 5.164 m is the minimum thickness of the dam

Explanation:

Given

SG = 5

h = 20 m

b = ?

w = 1 m

γw = 9800 N/m³

We  can get the forces as follows

Fp =  γw*(h/2)*(h*w)

⇒ Fp = (9800 N/m³)*(20 m/2)*(20 m*1 m) = 1.96*10⁶N

W = (SG*γw)*(h*b*w)

⇒  W = (5*9800 N/m³)*(20 m*b*1 m) = (9.8*10⁵N/m)*b

Then, we apply

∑M₀ = 0  (counterclockwise)

- Fp*(h/3) + W*(b/2) = 0

⇒   - 1.96*10⁶N*(20 m/3) + (9.8*10⁵N/m)*b*(b/2) = 0

- 13.066*10⁶N-m + (4.9*10⁵N/m)*b² = 0

⇒  b = 5.164 m is the minimum thickness of the dam

You might be interested in
Because she had serious traffic accident on Friday the 13th of last month, Felicia is conceived that all Friday the 13th will br
elena-s [515]

Answer:

Illusory correlation

Explanation:

Illusory correlation is a psychological phenomenon of sensing a correlation or relationship between a particular quantity and other variables however unrelated the two variables may be. A person may establish such connections, which are indeed false connections, as a result of over emphasis on novel incidents that are easily noticed due to them being salient

For example, when a waiter at a restaurant is being rude to a person after the person was made to walk under a ladder due to ongoing construction.

4 0
2 years ago
An object with mass M is attached to the end of a string and is raised vertically at a constant acceleration of g 10 . If it has
RoseWind [281]

Answer:

Work done against gravity will be

W = Mgℓ

Explanation:

Work done to raise the mass from ground to given height is against gravity

So here work done is given by the formula

W = F.d

here we know that

F = Mg

it is the force due to gravity which is also known as weight

so here distance moved by the object is given as

d = ℓ

now work done is given as

W = Mg ℓ

8 0
3 years ago
Read 2 more answers
An 1100kg car reached 30m/s in 9s from rest. What force did the engine provide?
malfutka [58]

Answer:

≅3666.67 N

Explanation:

Use Newton's 2nd law, F = ma where F=force applied, m = mass of the object,

a = acceleration acquired by the object.

a= (v-u)/t where v = final velocity, u = initial velocity and t = time taken

calculate a = (30-0)/9 ≅ 3.33 m/s2

Then F = 1100×a = 3666.67 N

3 0
3 years ago
A force of 900 N is applied to a 9kg object. How fast will it accelerate?
saul85 [17]

Answer:  15 m/s2

Explanation: I hope this helps or right because I learned this a few months ago

7 0
2 years ago
Read 2 more answers
Which of the following was NOT one of Ghana's chief trading exports?
valina [46]
The answer is b. ivory
3 0
2 years ago
Other questions:
  • A 74.9 kg person sits at rest on an icy pond holding a 2.44 kg physics book. he throws the physics book west at 8.25 m/s. what i
    13·1 answer
  • Which of the following represents a virtual image? ​
    8·1 answer
  • The maximum centripetal acceleration a car can sustain without skidding out of a curved path is 9.40 m/s2 . If the car is travel
    8·1 answer
  • Impedance plethysmography is a technique that can be used to detect thrombosis--the presence of clots in a blood vessel--by meas
    7·1 answer
  • How does an airbag help protect a passenger in a car following a car accident?
    12·2 answers
  • Which type of earthquake waves travel out in all directions from the focus, the point in the crust where the earthquake occurred
    7·1 answer
  • PLEASE HELP<br> use the image to answer the question.<br> what is the name of the aluminum ion?
    11·2 answers
  • 2. Stars normally convert hydrogen into helium through nuclear fusion. That requires incredibly hot temperatures and high pressu
    5·1 answer
  • HELP ME PLEASE!!!!
    14·1 answer
  • Using your knowledge of momentum explain why cars are designed to have crumple zones?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!