Answer:
a. ![K_{Axis}=2.574x10^{29}J](https://tex.z-dn.net/?f=K_%7BAxis%7D%3D2.574x10%5E%7B29%7DJ)
b. ![K_{Orbit}=2.6577x10^{33}J](https://tex.z-dn.net/?f=K_%7BOrbit%7D%3D2.6577x10%5E%7B33%7DJ)
Explanation:
![K_{Axis}=\frac{1}{2}I*w^2](https://tex.z-dn.net/?f=K_%7BAxis%7D%3D%5Cfrac%7B1%7D%7B2%7DI%2Aw%5E2)
![I_{Sphere}=\frac{2}{5}*m*r^2](https://tex.z-dn.net/?f=I_%7BSphere%7D%3D%5Cfrac%7B2%7D%7B5%7D%2Am%2Ar%5E2)
, ![T=24hrs*\frac{3600s}{1hr} =86400s](https://tex.z-dn.net/?f=T%3D24hrs%2A%5Cfrac%7B3600s%7D%7B1hr%7D%20%3D86400s)
radius earth = 6371 km
mass earth = 5,972*10^24 kg
a.
![K_{Axis}=\frac{1}{2}*\frac{2}{5}*m*r^2*(\frac{2\pi}{T})^2](https://tex.z-dn.net/?f=K_%7BAxis%7D%3D%5Cfrac%7B1%7D%7B2%7D%2A%5Cfrac%7B2%7D%7B5%7D%2Am%2Ar%5E2%2A%28%5Cfrac%7B2%5Cpi%7D%7BT%7D%29%5E2)
![K_{axis}=\frac{4\pi^2}{5}*5.98x10^{24}kg*(6.38x10^6m)^2*(\frac{1}{86400s})^2](https://tex.z-dn.net/?f=K_%7Baxis%7D%3D%5Cfrac%7B4%5Cpi%5E2%7D%7B5%7D%2A5.98x10%5E%7B24%7Dkg%2A%286.38x10%5E6m%29%5E2%2A%28%5Cfrac%7B1%7D%7B86400s%7D%29%5E2)
![K_{Axis}=2.574x10^{29}J](https://tex.z-dn.net/?f=K_%7BAxis%7D%3D2.574x10%5E%7B29%7DJ)
b.
![T=1year*\frac{365day}{1year}*\frac{24hr}{1day}*\frac{3600s}{1hr}=31536000s](https://tex.z-dn.net/?f=T%3D1year%2A%5Cfrac%7B365day%7D%7B1year%7D%2A%5Cfrac%7B24hr%7D%7B1day%7D%2A%5Cfrac%7B3600s%7D%7B1hr%7D%3D31536000s)
![K_{Orbit}=\frac{1}{2}*I*w](https://tex.z-dn.net/?f=K_%7BOrbit%7D%3D%5Cfrac%7B1%7D%7B2%7D%2AI%2Aw)
![I=m*r^2](https://tex.z-dn.net/?f=I%3Dm%2Ar%5E2)
![K_{Orbit}=\frac{1}{2}*m*r^2*(\frac{2\pi}{T})^2](https://tex.z-dn.net/?f=K_%7BOrbit%7D%3D%5Cfrac%7B1%7D%7B2%7D%2Am%2Ar%5E2%2A%28%5Cfrac%7B2%5Cpi%7D%7BT%7D%29%5E2)
![K_{Orbit}=\frac{4\pi^2}{5}*5.98x10^{24}*6.38x10^6m*(\frac{1}{31.536x10^6s})^2](https://tex.z-dn.net/?f=K_%7BOrbit%7D%3D%5Cfrac%7B4%5Cpi%5E2%7D%7B5%7D%2A5.98x10%5E%7B24%7D%2A6.38x10%5E6m%2A%28%5Cfrac%7B1%7D%7B31.536x10%5E6s%7D%29%5E2)
![K_{Orbit}=2.6577x10^{33}J](https://tex.z-dn.net/?f=K_%7BOrbit%7D%3D2.6577x10%5E%7B33%7DJ)
Answer:
The specific latent heat of a substance is the amount of energy required to change the state of one kilo of the substance without change in it temperature.The latent heat of vaporization or evaporation is the heat given to some mass to convert if from the liquid to the vapor phase.
Yes. Why would you think that there are some special processes in everyday life that don't ?
The net torque on the seesaw is 294 Nm.
<h3>What is torque?</h3>
Torque is the force that tends to rotate the body to which it was applied.
To calculate the net torque, we use the formula below
Formula:
- τ = mgd-m'gd'........... Equation 1
Where:
- m = Jenny's mass
- m' = Tom's mass
- d = Jenny's distance from the pivot
- d' = Tom's distance from the pivot
- g = acceleration due to gravity
From the question,
Given:
- m = 40 kg
- m' = 30 kg
- d = 1.5 m
- d' = 1 m
- g = 9.8 m/s²
Substitute these values into equation 1
- τ = (40×1.5×9.8)-(30×1×9.8)
- τ = 588-294
- τ = 294 Nm
Hence, The net torque on the seesaw is 294 Nm.
Learn more about torque here: brainly.com/question/14839816
Answer:
Centripetal Acceleration = 88826.44 m/s²
RCF = 9054.7
Explanation:
First, we will find the value of the centripetal acceleration by using the following formula:
![Centripetal\ Acceleration = \frac{v^2}{r}\\](https://tex.z-dn.net/?f=Centripetal%5C%20Acceleration%20%3D%20%5Cfrac%7Bv%5E2%7D%7Br%7D%5C%5C)
where,
v = linear speed of liquid or separator = rω
ω = angular speed of liquid or separator = (9000 rpm)(2π rad/rev)(1 min/60 s) = 942.48 rad/s
r = radius of seperator = diameter/2 = 20 cm/2 = 10 cm = 0.1 m
Therefore,
![Centripetal\ Acceleration = \frac{(r\omega)^2}{r}\\Centripetal\ Acceleration = r\omega^2\\Centripetal\ Acceleration = (0.1\ m)(942.48\ rad/s)^2\\](https://tex.z-dn.net/?f=Centripetal%5C%20Acceleration%20%3D%20%5Cfrac%7B%28r%5Comega%29%5E2%7D%7Br%7D%5C%5CCentripetal%5C%20Acceleration%20%3D%20r%5Comega%5E2%5C%5CCentripetal%5C%20Acceleration%20%3D%20%280.1%5C%20m%29%28942.48%5C%20rad%2Fs%29%5E2%5C%5C)
<u>Centripetal Acceleration = 88826.44 m/s²</u>
Now, for the RCF:
![RCF = \frac{Centripetal\ Acceleration}{g}\\RCF = \frac{88826.44\ m/s^2}{9.81\ m/s^2}\\](https://tex.z-dn.net/?f=RCF%20%3D%20%5Cfrac%7BCentripetal%5C%20Acceleration%7D%7Bg%7D%5C%5CRCF%20%3D%20%5Cfrac%7B88826.44%5C%20m%2Fs%5E2%7D%7B9.81%5C%20m%2Fs%5E2%7D%5C%5C)
<u>RCF = 9054.7</u>