Less of a glass of water because a glass of water holds approximately 250 mil-liters of water
Answer:
a. ![-12.7 Nm](https://tex.z-dn.net/?f=-12.7%20Nm)
b. ![-7.9 rad/s^2](https://tex.z-dn.net/?f=-7.9%20rad%2Fs%5E2)
Explanation:
I have attached an illustration of a solid disk with the respective forces applied, as stated in this question.
Forces applied to the solid disk include:
![F_1 = 90.0N\\F_2 = 125N](https://tex.z-dn.net/?f=F_1%20%3D%2090.0N%5C%5CF_2%20%3D%20125N)
Other parameters given include:
Mass of solid disk, ![M = 24.3kg](https://tex.z-dn.net/?f=M%20%3D%2024.3kg)
and radius of solid disk, ![r = 0.364m](https://tex.z-dn.net/?f=r%20%3D%200.364m)
a.) The formula for determining torque (
), is ![T = r * F](https://tex.z-dn.net/?f=T%20%3D%20r%20%2A%20F)
Hence the net torque produced by the two forces is given as a summation of both forces:
![T = T_{125} + T_{90}\\= -r(125)sin90 + r(90)sin90\\= 0.364(-125 + 90)\\= -12.7 Nm](https://tex.z-dn.net/?f=T%20%3D%20T_%7B125%7D%20%2B%20T_%7B90%7D%5C%5C%3D%20-r%28125%29sin90%20%2B%20r%2890%29sin90%5C%5C%3D%200.364%28-125%20%2B%2090%29%5C%5C%3D%20-12.7%20Nm)
b.) The angular acceleration of the disk can be found thus:
using the formula for the Moment of Inertia of a solid disk;
![I_{disk} = {\frac{1}{2}}Mr^2](https://tex.z-dn.net/?f=I_%7Bdisk%7D%20%3D%20%7B%5Cfrac%7B1%7D%7B2%7D%7DMr%5E2)
where
= Mass of solid disk
and
= radius of solid disk
We then relate the torque and angular acceleration (
) with the formula:
![T = I\alpha \\-12.7 = ({\frac{1}{2}}Mr^2)\alpha \\\alpha = -{\frac{12.7}{1.61}} = -7.9 rad/s^2](https://tex.z-dn.net/?f=T%20%3D%20I%5Calpha%20%5C%5C-12.7%20%3D%20%28%7B%5Cfrac%7B1%7D%7B2%7D%7DMr%5E2%29%5Calpha%20%5C%5C%5Calpha%20%20%3D%20-%7B%5Cfrac%7B12.7%7D%7B1.61%7D%7D%20%3D%20-7.9%20rad%2Fs%5E2)
The primary force would be Thermal Convection, it pushes it and thus makes continents drift.
-Hope that helps, Nexxmexx :3
The offspring can have some features for the parents relatives and can look nothing like the parents. They can look exactly alike to more of one parent then the other or have features from both parents as well
Hope this helps :3