MOST elements on the periodic table are
2 answers:
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Answer:
Torque will be equal to 4.176 N-m
Explanation:
It is given moment of inertia about knee joint
Angular acceleration produced
We e have to find the torque
Torque is equal to , here I is moment of inertia and
is angular acceleration.
Torque will be equal to
So torque is equal to 4.176 N-m
The energy of the ski lift at the base is kinetic energy:
where m is the mass of the ski lift+the people carried, and
is velocity at the base.
As long as the ski lift goes upward, its velocity decreases and its kinetic energy converts into potential energy. Eventually, when it reaches the top, its final velocity is v=0, so no kinetic energy is left and it has all converted into gravitational potential energy, which is
where
and h is the height at the top of the hill.
So, since the total energy must conserve, we have
and so
from which we find the height:
where m is the mass of the ski lift+the people carried, and
As long as the ski lift goes upward, its velocity decreases and its kinetic energy converts into potential energy. Eventually, when it reaches the top, its final velocity is v=0, so no kinetic energy is left and it has all converted into gravitational potential energy, which is
where
So, since the total energy must conserve, we have
and so
from which we find the height:
Answer:
Δθ = 15747.37 rad.
Explanation:
- The total angular displacement is the sum of three partial displacements: one while accelerating from rest to a certain angular speed, a second one rotating at this same angular speed, and a third one while decelerating to a final angular speed.
- Applying the definition of angular acceleration, we can find the final angular speed for this first part as follows:
- Since the angular acceleration is constant, and the propeller starts from rest, we can use the following kinematic equation in order to find the first angular displacement θ₁:
- Solving for Δθ in (2):
- The second displacement θ₂, (since along it the propeller rotates at a constant angular speed equal to (1), can be found just applying the definition of average angular velocity, as follows:
- Finally we can find the third displacement θ₃, applying the same kinematic equation as in (2), taking into account that the angular initial speed is not zero anymore:
- Replacing by the givens (α, ωf₂) and ω₀₂ from (1) we can solve for Δθ as follows:
- The total angular displacement is just the sum of (3), (4) and (6):
- Δθ = θ₁ + θ₂ + θ₃ = 5044.12 rad + 7252 rad + 3451.25 rad
- ⇒ Δθ = 15747.37 rad.