Aschool has installed a modestly-sized wind turbine. the three blades are 4.0 m long; each blade has a mass of 45 kg. you can assume that the blades are uniform along their lengths. part a when the blades spin at 240 rpm, what is the kinetic energy of the blade assembly?

To solve the exercise it is necessary to apply the concepts related to kinetic energy by rotation and the moment of rotational inertia.

Rotational energy is defined as

Where,

I = Inertia moment

Angular velocity

While the Rotational inertia of each blade is given as

Where,

m= mass

l = length

We have also that the assembly of the motor has three blade, then the total rotational inertia is

Replacing with our values

We have the angular velocity in rev per minute then in rad per second is

Then the total Kinetic Energy at the system is

Therefore the total Kinetic Energy at the system is

the focus of lesson 1 is newton's first law of motion - sometimes referred to as the law of inertia. newton's first law of motion is often stated as. an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

explanation:

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day