True
Gay Lussac's Law
When the volume is constant, the gas pressure is proportional to its absolute temperature

To solve this problem we will use the concepts related to angular motion equations. Therefore we will have that the angular acceleration will be equivalent to the change in the angular velocity per unit of time.
Later we will use the relationship between linear velocity, radius and angular velocity to find said angular velocity and use it in the mathematical expression of angular acceleration.
The average angular acceleration

Here
= Angular acceleration
Initial and final angular velocity
There is not initial angular velocity,then

We know that the relation between the tangential velocity with the angular velocity is given by,

Here,
r = Radius
= Angular velocity,
Rearranging to find the angular velocity

Remember that the radius is half te diameter.
Now replacing this expression at the first equation we have,


Therefore teh average angular acceleration of each wheel is 
Answer:
Vrel_jon's = 15 [m/s] to the right
Explanation:
Relative velocity is defined as the relative motion between two bodies, taking into account the directions of motion.
Relative velocity is defined as the relative motion between two bodies, taking into account the directions of motion. The relative velocity is defined as the algebraic sum of the velocities, if the movements are opposite the vectors are subtracted, as will be done below.
Vrel = 20 - 5 = 15 [m/s]
A person watching Jon sees him moving to the right at a speed of 15 [m/s]
Answer:
The correct answer is b, x = 9 cos (pi / 2 t)
Explanation:
The equation that describes a simple pendulum is
θ = θ₀ cos (wt + φ)
The angle is measured is radians
θ = x / L
We replace
d / L = x₀ / L cos (wt + φ)
x₀ = 9 in
We replace
d = 9 cos (wt + φ)
Angular velocity is related to frequency and period.
w = 2π f = 2π / T
The period is the time of a complete oscillation T = 4 s
w =2π / 4
w = π / 2
Let's replace
x = 9 cos (π/2 t + φ)
As the system is released from the root x = x₀ for t = 0 s
x₀ = x₀ cos φ
Cos φ = 1
φ = 0°
The final equation is
x = 9 cos (pi / 2 t)
The correct answer is b