Answer:
Explanation:
Given that,
Speed of the car, v = 40 mph
Energy required,
Radius of the flywheel, r = 0.6 m
Mass of flywheel, m = 400 kg
The kinetic energy of the disk is given by :
I is the moment of inertia of the disk,
or
So, the angular speed of the disk is 943 rad/s. Hence, this is the required solution.
Answer:
Proof in explanataion
Explanation:
The basic dimensions are as follows:
MASS = M
LENGTH = L
TIME = T
i)
Given equation is:
where,
H = height (meters)
u = speed (m/s)
g = acceleration due to gravity (m/s²)
Sin Ф = constant (no unit)
So there dimensions will be:
H = [L]
u = [LT⁻¹]
g = [LT⁻²]
Sin Ф = no dimension
Therefore,
<u>[L] = [L]</u>
Hence, the equation is proven to be homogenous.
ii)
where,
F = Force = Newton = kg.m/s² = [MLT⁻²]
G = Gravitational Constant = N.m²/kg² = (kg.m/s²)m²/kg² = m³/kg.s²
G = [M⁻¹L³T⁻²]
m₁ = m₂ = mass = kg = [M]
r = distance = m = [L]
Therefore,
<u>[MLT⁻²] = [MLT⁻²]</u>
Hence, the equation is proven to be homogenous.
Answer:
The amount of matter in an object is its mass
An action that has the ability to change an object's state of motion is a force
The rate at which velocity changes over time is acceleration
Explanation:
- Mass is a scalar quantity that gives a measure of the amount of matter contained in an object/substance. The SI unit of the mass is the kilogram (kg). Mass is an intrinsec property of an object, that means that it does not change when the object is moved in another location.
- A force is a vector quantity, that indicates an action exerted on an object that changes the state of motion of the object. It is measured in Newtons (N). According to Newton's second law, the acceleration of an object is equal to the net force exerted on the object divided by its mass:
- Acceleration is a vector quantity, which is equal to the ratio between the change in velocity of an object and the time interval taken for that change to occur. It is measured in meters per second squared (). Mathematically, it is defined as