Answer:
a) ω1 = 18rpm ω2 = -18rpm
b) ω1 = 102rpm ω2 = 138rpm
c) ω1 = ω2 = 3.18rpm
Explanation:
For the first case, we know that each wheel will spin in a different direction but with the same magnitude, so:
ωr = 6rpm This is the angular velocity of the robot
where D is 30cm and rwheel is 5cm
One velocity will be positive and the other will be negative:
ω1 = 18rpm ω2 = -18rpm
For part b, the formula is the same but distances change. Rcircle=100cm:


Replacing values, we get:


For part c, both wheels must have the same velocity:


This problem provides information about the pressure and temperature ideal gases are studied at. The answer to the questions are that all molecules have the same density, 2.43x10²⁵ mol/m³ and 2.43x10¹⁹ mol/cm³.
<h3>Idela gases</h3>
In science, we can start studying gases with the concept of ideal gas, as they do not collide one to another and are assumed to be perfect spheres with no relevant interactions.
In such a way, one can conclude that the <u>number density of all ideal gasses at SATP is the same</u>, as they are assumed to be perfect spheres with equal volumes per molecule.
Moreover, when calculating the number of molecules per cubic meter, one must use the ideal gas equation as:

And plug in the numbers we are given:

Lastly, we can calculate the molecules per cubic centimeter by performing the following conversion:

Learn more about ideal gases: brainly.com/question/26450101
The further an object is from the centre of a planet, the lower it's gravitational force. Uranus had 14 times as much mass as earth, but it's also a lot bigger than earth. So assuming an object is on the surface of Uranus, it would be really far away from the centre of Uranus, therefore the gravitational force is less.
Hope this helps!
It is when the air hit the wave and it moves to another direction.
F = qE = mg
E = mg/q = 0.017*9.81('-3.1x10^-6) = 5.38x10^4 = -53,800 N/C
E' = 0.5E = -26,900N/C
2q -mg= ma, Answer is 9.81 m/s^2 and it's positive because the force is upward.