The change in angular displacement as a function of time is the definition given for angular velocity, this is mathematically described as

Here,
= Angular displacement
t = time
The angular velocity is given as

PART A) The angular velocity in SI Units will be,


PART B) From our first equation we can rearrange to find the angular displacement then

Replacing,


Answer:
the angular velocity of the carousel after the child has started running =

Explanation:
Given that
the mass of the child = m
The radius of the disc = R
moment of inertia I = 
change in time = 
By using the torque around the inertia ; we have:
T = I×∝
where
R×F = I × ∝
R×F =
∝
F =
∝
∝ =
( expression for angular angular acceleration)
The first equation of motion of rotating wheel can be expressed as :

where ;
∝ =
Then;


∴ the angular velocity of the carousel after the child has started running =

Answer:
Force = 3.204Newton
Explanation:
Given the following data;
Pressure = 178
Area = 18 mm² to meter = 18/1000 = 0.018 m²
To find the force;
Force = pressure * area
Force = 178 * 0.018
Force = 3.204 Newton.
Reactant is<span> a substance that is in a chemical </span>reaction<span>. Product is a substance that is produced by the chemical </span>reaction. A chemical change that you are familiar with isrust<span>. In this chemical </span>reaction<span>, </span>oxygen<span> and </span>iron<span>, which are the </span>reactants,combine to form<span> a product called </span>iron oxide(rust<span>)
(Mark me as brainiest, vote, and give thanks! Trying to rank up!)</span>
Answer: m = 0.4 kg
Explanation: Momentum is the product of mass and velocity also expressed in this equation:
p = m x v
Derive to find m
m = p / v
= 10 kg•m/s / 25 m/s
= 0.4 kg