When playing a game of disc golf, each throw to your target is considered to be a O Point O Stroke O Hit O Toss

A tank has a gate that automatically opens if the water levelhis high enough. The gate has a squarecross section of side1m and c

umka2103 [35]

Answer:

The gate will open if the height of water is equal to or more than 0.337m.

Explanation:

From the diagram attached, (as seen from the reference question found on google)

The forces are given as

Force on OA

$F_1=P A_1\\F_1=\rho g \bar{h} A_{OA}$

Here

ρ is the density of water.
g is the gravitational acceleration constant
$\bar{h}$ is the equivalent height given as

$\bar{h}=h+\frac{0.6}{2}\\\bar{h}=h+0.3$

$A_{OA}$ is the area of the OA part of the door which is calculated as follows:

$A_{OA}=L\times W\\A_{OA}=1\times 0.6\\A_{OA}=0.6 m^2$

The Force is given as

$F_1=0.6\rho g[h+0.3]$

Force on OB

$F_2=P A_2\\F_2=\rho g \bar{h} A_{OB}$

Here

ρ is the density of water.
g is the gravitational acceleration constant
$\bar{h}$ is the equivalent height given as

$\bar{h}=h+0.6+\frac{0.4}{2}\\\bar{h}=h+0.8$

$A_{OA}$ is the area of the OB part of the door which is calculated as follows:

$A_{OB}=L\times W\\A_{OB}=1\times 0.4\\A_{OB}=0.4 m^2$

The Force is given as

$F_2=0.4\rho g[h+0.8]$

Now the moment arms are given as

$\bar{y}_a=\bar{h}+\frac{I}{A\bar{h}}\\\bar{y}_a=h+0.3+\frac{\frac{1}{12}\times 0.6^3 \times 1}{0.6 \times[h+0.3]}\\\bar{y}_a=h+0.3+\frac{0.03}{h+0.3}$

$\bar{y}_b=\bar{h}+\frac{I}{A\bar{h}}\\\bar{y}_b=h+0.8+\frac{\frac{1}{12}\times 0.4^3 \times 1}{0.4 \times[h+0.8]}\\\bar{y}_b=h+0.8+\frac{0.0133}{h+0.8}$

Taking moment about the point O as zero

$F_1(h+0.6-\bar{y}_a)=F_2(\bar{y}_b-h+0.6)\\F_1(h+0.6-h-0.3-\frac{0.03}{h+0.3})=F_2(h+0.8+\frac{0.0133}{h+0.8}-h-0.6)\\F_1(0.3-\frac{0.03}{h+0.3})=F_2(0.2+\frac{0.0133}{h+0.8})\\0.6\rho g[h+0.3](0.3-\frac{0.03}{h+0.3})=0.4\rho g[h+0.8](0.2+\frac{0.0133}{h+0.8})\\0.6[h+0.3](0.3-\frac{0.03}{h+0.3})=0.4[h+0.8](0.2+\frac{0.0133}{h+0.8})\\0.18h -0.054-0.018=0.08h+0.064+0.00533\\h=0.337 m$

So the gate will open if the height of water is equal to or more than 0.337m.

3 0

3 years ago

Can someone please help me get this right pleaseee I’ll mark brainless .

Katarina [22]

Answer:i think it is c

Explanation:

4 0

3 years ago

Read 2 more answers

If the _ of the proteins changes, this is called a mutation

Delicious77 [7]

Answer:

If the DNA of the proteins changes, this is called a mutation.

Explanation: Hope it helps you :))))

Have a good day

6 0

2 years ago

Which is the correct product of the significant figures 3278 and 42?

Svetradugi [14.3K]

Answer:

$1.4\cdot 10^5$

Explanation:

In multiplications or divisions, the result must be written using a number of significant figures equal to the smallest number of significant figures contained in the original numbers.

For instance, in this case the two numbers are:

3278 --> 4 significant figures

42 --> 2 significant figures

So, the product must be written using 2 significant figures.

Calculating the product, we get:

$3278\cdot 42=137676$

Therefore, using 2 significant figures only, the result is

$1.4\cdot 10^5$

8 0

3 years ago

A 50-kg box is placed in the bed of a truck. the coefficient of static friction between the box and the truck bed is 0.54. if th

miss Akunina [59]

3 is the answer i think so

4 0

3 years ago

When playing a game of disc golf, each throw to your target is considered to be a O Point O Stroke O Hit O Toss​

When playing a game of disc golf, each throw to your target is considered to be a O Point O Stroke O Hit O Toss