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
Which of the following was an effect of the French Revolution?
lozanna [386]

Answer: C. the elimination of special privileges for members of the first and second estates

Explanation:

The French Revolution was a period of political change in France. The French Revolution led to the proclamation of the first French Republic, radical political and social change, creation of constitutional monarchy, formation of the French consulate etc.

From the options given, the effect of the French Revolution was the the elimination of special privileges for members of the first and second estates. Therefore, the correct option is C.

5 0
3 years ago
A. Describe one meal that you typically order when eating out.
marta [7]
A. “I usually get 10 piece nugget meal with medium fries at McDonald’s with a McFlurry

B. I could replace the 10 piece nuggets with a grilled chicken wrap and replace the medium fries with a small fries then replace the mcflurry with either water or unsweetened tea.
3 0
2 years ago
Read 2 more answers
A chinook salmon needs to jump a waterfall that is 1.5 m high. If the fish starts from a distance of 1.00 m from the base of the
____ [38]
 <span>let the fsh jump with initial velocity (u) in direction (angle p) with horizontal 

it can cross and reach top of trajectory if its top height h = 1.5m 
and horizontal distance d = (1/2) Range 
--------------------------------------... 
let t be top height time 
at top height, vertical component of its velocity =0 
vy = 0 = u sin p - gt 
t = u sin p/g 
h = [u sin p]*t - 0.5 g[t[^2 
1.5 = u^2 sin^2 p/g - u^2 sin^2 p/2g 
u^2 sin^2 p/2g = 1.5 
u^2 sin^2 p = 1.5*2*9.8 = 29.4 
u sin p = 5.42 m/s >>>>>>>>>>>>>>> V-component 
===================== 
t = HALF the time of flight 
d = (1/2) Range (R) = (1/2) [2 u^2 sin p cos p/g] 
1 = u^2 sin p cos p/g 
u sin p * u cos p = 9.8 
5.42 * u cos p = 9.8 
u cos p = 1.81 m/s >>>>>>>>>>>>> H-component 
check>> 
u = sqrt[u^2 cos^2 p + u^2 sin^2 p] = 5.71 m/s 
u < less than fish's potential jump speed 6.26 m/s 

so it will able to cross</span>
8 0
2 years ago
A student drops a rock from a bridge to the water 12.7 m below. with what speed does the rock strike the water? the acceleration
kolezko [41]

The rock strike the water with the speed of 15.78 m/sec.

The speed by which rock hit the water is calculated by the formula

v=\sqrt{2gh}

v=\sqrt{2*9.8*12.7}

v=15.78 m/sec

Hence, the rock strike the water with the speed of 15.78 m/sec.

7 0
2 years ago
7. A 400 kg cannon fires an 80 kg student at +15 m/s. At what velocity will
telo118 [61]

Answer:

?

Explanation:

6 0
2 years ago
Other questions:
  • A coil has an inductance of 8.00 mh, and the current in it changes from 0.200 a to 1.50 a in a time interval of 0.350 s. find th
    14·1 answer
  • Which type of mirror causes light rays to refract away from each other?
    14·1 answer
  • A hunter points his rifle directly at a coconut that she wishes to shoot off a tree. It so happens that the coconut falls from t
    13·1 answer
  • How do you do this question? Please include free body diagrams and clear explanation, so I can understand.
    13·1 answer
  • Why does increasing the heat under a pan of boiling water not decrease the cooking time for hard-boiled eggs? (Select all that a
    9·1 answer
  • Which is an example of a physical change
    5·1 answer
  • Sports managers have the potential to earn more than a million dollars per year.<br> True<br> false
    9·1 answer
  • If the astronaut in the video wanted to move upward, in which direction should he throw the object? Why?
    7·2 answers
  • Help me
    6·1 answer
  • Alessandro has committed to riding his bike to and from school when the weather is good. All week, he rides to school without an
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!