Answer:
The mass of the wheel is 2159.045 kg
Explanation:
Given:
Radius ![r = 0.330](https://tex.z-dn.net/?f=r%20%3D%200.330)
m
Force
N
Angular acceleration ![\alpha = 0.814 \frac{rad}{s^{2} }](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%200.814%20%5Cfrac%7Brad%7D%7Bs%5E%7B2%7D%20%7D)
From the formula of torque,
Γ
(1)
Γ
(2)
![rF = I \alpha](https://tex.z-dn.net/?f=rF%20%3D%20I%20%5Calpha)
Find momentum of inertia
from above equation,
![I = \frac{rF}{\alpha }](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7BrF%7D%7B%5Calpha%20%7D)
![I = \frac{0.330 \times 290}{0.814}](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B0.330%20%5Ctimes%20290%7D%7B0.814%7D)
![Kg. m^{2}](https://tex.z-dn.net/?f=Kg.%20m%5E%7B2%7D)
Find the momentum inertia of disk,
![I = \frac{1}{2} Mr^{2}](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%20Mr%5E%7B2%7D)
![M = \frac{2I}{r^{2} }](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B2I%7D%7Br%5E%7B2%7D%20%7D)
![M = \frac{2 \times 117.56}{(0.330)^{2} }](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B2%20%5Ctimes%20117.56%7D%7B%280.330%29%5E%7B2%7D%20%7D)
Kg
Therefore, the mass of the wheel is 2159.045 kg
Answer;
The temperature change for the second pan will be lower compared to the temperature change of the first pan
Explanation;
-The quantity of heat is given by multiplying mass by specific heat and by temperature change.
That is; Q = mcΔT
This means; the quantity of heat depends on the mass, specific heat capacity of a substance and also the change in temperature.
-Maintaining the same quantity of heat, with another pan of the same mass and greater specific heat capacity would mean that the change in temperature would be much less lower.
Answer:
C. Plant A orbits its star faster than Plant B
Explanation:
Did it on study island
Explanation:
average speed = total distance travelled / total time travelled
time to travel the first 6km: 6 / 50 = 3/25 (h)
time to travel the next 6km: 6 / 90 = 1/15 (h)
[I think there's problem in the question 'cause 900km/h sounds impossible for normal person to travel in normal condition]
The total time: 3/25 + 1/15 = 14/75 (h)
Average speed over the 12 km drive will be:
![\frac{12}{ \frac{14}{75} } = \frac{450}{7} = 64.3 \: km{h}^{ - 1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%7D%7B%20%5Cfrac%7B14%7D%7B75%7D%20%7D%20%20%3D%20%20%5Cfrac%7B450%7D%7B7%7D%20%20%3D%2064.3%20%5C%3A%20km%7Bh%7D%5E%7B%20-%201%7D%20)