Answer:
The no of revolutions is 2.032 revolution.
Explanation:
Given that,
Moment of inertia = 0.85 Kgm²
Radius = 170 mm
Force = 32 N
Time = 2s
We need to calculate the angular acceleration
Using formula of torque
Where, F = force
r = radius
I = moment of inertia
Put the value into the formula
We need to calculate the rotational speed
Using equation of angular motion
We need to calculate the angular position
Using equation of angular motion
We need to calculate no of revolutions
Hence, The no of revolutions is 2.032 revolution.
Answer:
OPTIMISATION
Explanation:
Optimisation is a mathematical theory for developing strategies that maximize gains and minimize losses while adhering to a given set of rules and constraints.
The theory has a target function to be maximised or minimised, dependent on its explanatory variable(s), with respect to which the function has to be maximised or minimised. It also has constraints which might be binding factors to maximisation / minimisation.
Eg : Revenue optimising output is found by maximising profit function with respect to constraint function in forms of cost etc.
Given Information:
Current = I = 20 A
Diameter = d = 0.205 cm = 0.00205 m
Length of wire = L = 1 m
Required Information:
Energy produced = P = ?
Answer:
P = 2.03 J/s
Explanation:
We know that power required in a wire is
P = I²R
and R = ρL/A
Where ρ is the resistivity of the copper wire 1.68x10⁻⁸ Ω.m
L is the length of the wire and A is the area of the cross-section and is given by
A = πr²
A = π(d/2)²
A = π(0.00205/2)²
A = 3.3x10⁻⁶ m²
R = ρL/A
R = 1.68x10⁻⁸*(1)/3.3x10⁻⁶
R = 5.09x10⁻³ Ω
P = I²R
P = (20)²*5.09x10⁻³
P = 2.03 Watts or P = 2.03 J/s
Therefore, 2.03 J/s of energy is produced in 1.00 m of 12-gauge copper wire carrying a current of 20 A
Answer:
Water changing color when food coloring is added.
A gas forming when vinegar and baking soda are mixed.
Explanation:
Because you can see chemical change as a change which cannot be reverted or a chemical reaction. Since a chemical change is the process where one or more substances are altered into a new one.
C, They change their shapes depending on their containers