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azamat
2 years ago
7

A rotator has a weight of 100lb with a centroidal radius of gyration of 9 in. Determine the moment of inertia about the center o

f gravity for the rotator.
Engineering
1 answer:
Ronch [10]2 years ago
8 0

Answer:

8100 lbin²

Explanation:

Moment or inertia is expressed using the formula

I = mr²

M is the mass of the body

r is the radius of gyration

Given

W = 100lb

r = 9in

Required

Moment of inertia

I = Wr²

I = 100(9)²

I = 100×81

I = 8100lbin²

Hence the moment of inertia about the center of gravity for the rotator is

8100 lbin²

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Answer:

1.25 cm/day

Explanation:

An air thickness , (l) = 0.15 cm

Air Temperature =

(T_a)=20^0C = (20+273)K\\(T_a)=293K

Mass Diffusion coefficient (D) = 0.25cm^2/sec

If the air pressure (P_a) = 0.5 P_{sat}

We are to determine how fast will the water (H_2O) level drop in a day.

From the property of air  at T = 20° C

P_{sat} = 2.34 from saturated water properties.

The mass flow of (H_2O)  can be calculated as:

H_2O = \frac{D}{\phi} \delta C

where:

\delta C = \frac{P_{sat}*P_a}{RT }

R(constant) = 8.314 kJ/mol.K

\delta C = \frac{2.34*0.5}{8.314*293 }

\delta C = 4.803*10^{-4}\\ \delta C =0.48*10^{-3} mol/m^3\\ \delta C = 0.48*10^{-6} mol/cm^3

Since 1 mole = 18 cm ³ of water

0.48*10^{-6}mol/cm^3 will be: (0.48*10^{-6}mol/cm^3 *18)cm^3/cm^3

\delta C = 8.64 * 10^{-6}

Again:

H_2O = \frac{D}{\phi} \delta C

= \frac{0.25}{0.15}*8.69*10^{-6} \frac{cm^2/sec}{cm}

=1.4481*10^{-5} \frac{cm^2/sec}{cm}

Converting the above value to cm/day: we have:

1.448*10^{-5}*3600*24\frac{cm}{s}*\frac{s}{yr}*\frac{yr}{day}

= 1.25 cm/day

∴ the rate at which  the water level drop in a day = 1.25 cm/day

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3 years ago
Use superpositions find​
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no

Explanation:

no

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A 46.0-g meter stick is balanced at its midpoint (50.0 cm, zero point is a left end of stick). Then a 210.0-g weight is hung wit
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Clockwise torque due to 100g is 0.1029 Nm and 200g is 1.4406 Nm. Clockwise torque due to stick mass is 0.2254 Nm and Counter-clockwise torque due to normal force is 1.7689 Nm.            

<h3>What is clockwise torque?</h3>

The right-hand rule for cross products determines the direction of torque, which is calculated as the cross product of force and distance. Your thumb will point in the direction of the torque if you place your palm in the direction of the applied force and extend your fingers from the pivot point in that direction.

A related right-hand rule relates the direction of the rotation to the direction of the torque. Your fingers will curl in the direction of rotation if you point your thumb in the direction of the torque.

Positive torques cause counter clockwise rotation, while negative torques cause clockwise rotation.

The sum of all torques must be zero at equilibrium since an object in equilibrium has no net torque.

When the force is applied in a direction perpendicular to the line connecting the pivot and the force, the torque is at its greatest.

You can calculate the torque's magnitude using

                                             \begin{displaymath}\tau =rF_{\bot }=rF\sin \theta .\end{displaymath}

To solve problems involving torques, follow these eight steps: read the issue, create a free-body diagram, locate the pivot point, write down the expressions for all torques, For equilibrium conditions, set the sum of torques to zero, list all known variables, pick the desired variable(s), write down equations involving those variable(s), solve the equations, plug in numbers, and test your solution.

Clockwise torque due to 100 g                                                                         ⇒ T1 = 0.105* 9.8* 0.1 = 0.1029 Nm

Clockwise torque due to 200 g                                                                                                      ⇒ T2 = 0.210* 9.8* 0.7 = 1.4406 Nm

Clockwise torque due to stick mass                                                                               ⇒ T3 = 0.046* 0.5* 9.8 =0.2254 Nm

Counter-clockwise torque due to normal force                                                                             ⇒ T4 = (0.046 + 0.21 + 0.105)*9.8* 0.5 = 1.7689 Nm

Learn more about torque

brainly.com/question/1544595

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What are the laws that apply to one vehicle towing another?
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The drawbar or other connections must be strong enough to pull all the weight of the vehicle being towed. The drawbar or other connection may not exceed 15 feet from one vehicle to the other.
5 0
2 years ago
Consider a very long, slender rod. One end of the rod is attached to a base surface maintained at Tb, while the surface of the r
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Answer:

(a) Calculate the rod base temperature (°C). = 299.86°C

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Explanation:

see attached file below

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3 years ago
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