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dedylja [7]
3 years ago
6

A 3-m-high, 8.5-m-wide rectangular gate is hinged at the top edge at A and is restrained by a fixed ridge at B. Determine the hy

drostatic force exerted on the gate by the 2-m-high water and the location of the pressure center. Take the density of water to be 1000 kg/m3 throughout.

Physics
1 answer:
mojhsa [17]3 years ago
3 0

Answer:

Explanation:

The detailed steps and calculation is as shown in the attached file.

From Force = PA

Pressure = rho x g x h

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A gyroscope flywheel of radius 3.21 cm is accelerated from rest at 13.2 rad/s2 until its angular speed is 2450 rev/min.
SIZIF [17.4K]

Answer:

Part a)

a_t = 0.423 m/s^2

Part b)

a_c = 2113 m/s^2

Part c)

d = 80 m

Explanation:

Part a)

as we know that angular acceleration of the wheel is given as

\alpha = 13.2 rad/s^2

now the radius of the wheel is given as

R = 3.21 cm

so the tangential acceleration is given as

a_t = R\alpha

a_t = (0.0321)(13.2)

a_t = 0.423 m/s^2

Part b)

frequency of the wheel at maximum speed is given as

f = 2450 rev/min

f = \frac{2450}{60} = 40.8 rev/s

now we know that

\omega = 2\pi f = 2\pi(40.8) = 256.56 rad/s

now radial acceleration is given as

a_c = \omega^2 r

a_c = (256.56)^2(0.0321) = 2113 m/s^2

Part c)

total angular displacement of the point on rim is given as

\Delta \theta = \omega_0 t + \frac{1}{2}\alpha t^2

here we know that

\omega = \omega_0 + \alpha t

256.56 = 0 + 13.2 t

t = 19.4 s

now angular displacement will be

\Delta \theta = 0 + \frac{1}{2}(13.2)(19.4)^2

\Delta \theta = 2493.3 rad

now the distance moved by the point on the rim is given as

d = R\theta

d = (0.0321)(2493.3)

d = 80 m

7 0
3 years ago
If a data point is way off the trend line, what will not resolve the problem?
Elden [556K]

Going out to a movie will not resolve the problem.

4 0
3 years ago
What is the reaction force of the table with a weight of 558N
Delicious77 [7]

Answer: reaction force = -558N

Explanation:

w = f = 558N

since action force and reaction force are equal in magnitude and opposite in direction,

reaction force = -(f)

reaction force = -558N

if that helps.

8 0
3 years ago
A typical adult human has a mass of about 70 kg.
Misha Larkins [42]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
a. <span>FM GmMmr2
</span>= 6.67 x 10-11N.m2kg27 .35 x 1022 kg 70 kg 3.78 x 108 m2 
<span>= 2.40 x 10-3 N

b. </span><span>FE GmEmr2
= 6.67 x 10-11 N.m2kg 25 .97 x 1034 kg (70kg) 6.38 x 106 m2
=685 N 
FMFE 2.40 x 10-3N685 N= 0.0004%</span>
3 0
3 years ago
I'm very confused. Thanks for whoever helps me :)
sergij07 [2.7K]
(C). Remember gravity provides an acceleration of 9.81m/s^2, so the y component of velocity initial is zero because it isn’t already falling, and we have the height, so basically we use the kinematic equation vf^2=vi^2+2ad, substitute given values and you get vf^2=2(9.81)(65) which is 1275, when you take the square root you get 35.7m/s for final velocity
(B). Then you use vf=vi+at to get the equation 35.7=(9.81)t, when you divide out you get 3.64s for time t
(A). Finally, since we assume that there is no acceleration or deceleration horizonatally, we just multiply the time taken for it to hit the ground and the initial speed ((3.64)(35.7)) to get 129.96, with significant figures I would round that to 130 metres.
**this is in the order that I felt was easiest to answer**
6 0
3 years ago
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