Science- Look at both pictures below.

A space station shaped like a giant wheel has a radius of a radius of 153 m and a moment of inertia of 4.16 × 10⁸ kg·m² (when it

Naya [18.7K]

Answer:

a = 1.709g

Explanation:

Given the absence of external forces being applied in the space station, it is possibly to use the Principle of Angular Momentum Conservation, which states that:

$I_{o} \cdot \omega_{o} = I_{f} \cdot \omega_{f}$

The required initial angular speed is obtained herein:

$g= \omega_{o}^{2}\cdot R_{ss}$

$\omega_{o}=\sqrt{\frac{g}{R_{ss}} }$

$\omega_{o}= \sqrt{\frac{9.807\,\frac{m}{s^{2}} }{153\,m} }$

$\omega_{o} \approx 0.253\,\frac{rad}{s}$

The initial moment of inertia is:

$I_{o} =I_{ss}+n\cdot m_{person}\cdot R_{ss}^{2}$

$I_{o} = 4.16\times 10^{8}\,kg\cdot m^{2}+(150)\cdot (65\,kg)\cdot (153\,m)^{2}$

$I_{o} = 6.442\times 10^{8}\,kg\cdot m^{2}$

The final moment of inertia is:

$I_{f} =I_{ss}+n\cdot m_{person}\cdot R_{ss}^{2}$

$I_{f} = 4.16\times 10^{8}\,kg\cdot m^{2}+(50)\cdot (65\,kg)\cdot (153\,m)^{2}$

$I_{f} = 4.921\times 10^{8}\,kg\cdot m^{2}$

Now, the final angular speed is obtained:

$\omega_{f} = \frac{I_{o}}{I_{f}}\cdot \omega_{o}$

$\omega_{f} = \frac{6.442\times 10^{8}\,{kg\cdot m^{2}}}{4.921\times 10^{8}\,kg\cdot m^{2}} \cdot (0.253\,\frac{rad}{s} )$

$\omega_{f} = 0.331\,\frac{rad}{s^}$

The apparent acceleration is:

$a_{f} = \omega_{f}^{2}\cdot R_{ss}$

$a_{f} = (0.331\,\frac{rad}{s} )^{2}\cdot (153\,m)$

$a_{f} = 16.763\,\frac{m}{s^{2}}$

This is approximately 1.709g.

4 0

4 years ago

By how many degrees fahrenheit can the temperature of one metric ton of water be raised with the addition of 110 thousand btus o

Svetllana [295]

1 BTU mean 1 degree of F increased for 1 pound mass. Since the mass unit is in kg that means you need to convert it into pound. One metric ton means 1000kg and 1 kg mean 2.20462lb, then the water mass is: 1000kg x 2.20462lb/kg= 2204.62lb.

You are putting 110,000 btus of heat, so the calculation would be

Temperature increase= energy/mass = 110000btus/ 2204.62lb= 49.9 degree

5 0

4 years ago

The bottom is hard what is the answers

riadik2000 [5.3K]

11. aboard
12. marsh
13. swore
14. starch
15. barge
16.swear
17. coarse

please vote my answer brainliest! thanks.

7 0

3 years ago

Is kane brown a true country singer?<br> A.yes<br> B.no

Kryger [21]

Answer: hes not a country singer if thats what your asking

Explanation:

6 0

3 years ago

Read 2 more answers

Which of the following statements is true? Sound waves create areas of high and low pressure. Areas of high pressure are called

blsea [12.9K]

Answer:

All of the above

Explanation:

Sound waves are mechanical waves consisting of the oscillations of the particles in a medium. They are longitudinal waves, which means that the vibrations of the particles occur in a direction parallel to the direction of propagation of the wave.

This type of wave consists of alternating regions where:

- the density of the particles is higher: these regions are called compressions, and they correspond to high pressure regions

- the density of the particles is lower: these regions are called rarefactions, and they correspond to low pressure regions

3 0

3 years ago

Read 2 more answers