Answer:
the resulting angular acceleration is 15.65 rad/s²
Explanation:
Given the data in the question;
force generated in the patellar tendon F = 400 N
patellar tendon attaches to the tibia at a 20° angle 3 cm( 0.03 m ) from the axis of rotation at the knee.
so Torque produced by the knee will be;
T = F × d⊥
T = 400 N × 0.03 m × sin( 20° )
T = 400 N × 0.03 m × 0.342
T = 4.104 N.m
Now, we determine the moment of inertia of the knee
I = mk²
given that; the lower leg and foot have a combined mass of 4.2kg and a given radius of gyration of 25 cm ( 0.25 m )
we substitute
I = 4.2 kg × ( 0.25 m )²
I = 4.2 kg × 0.0626 m²
I = 0.2625 kg.m²
So from the relation of Moment of inertia, Torque and angular acceleration;
T = I∝
we make angular acceleration ∝, subject of the formula
∝ = T / I
we substitute
∝ = 4.104 / 0.2625
∝ = 15.65 rad/s²
Therefore, the resulting angular acceleration is 15.65 rad/s²
(A) We can solve the problem by using Ohm's law, which states:
![V=IR](https://tex.z-dn.net/?f=V%3DIR)
where
V is the potential difference across the electrical device
I is the current through the device
R is its resistance
For the heater coil in the problem, we know
![V=220 V](https://tex.z-dn.net/?f=V%3D220%20V)
and
![R=220 \Omega](https://tex.z-dn.net/?f=R%3D220%20%5COmega)
, therefore we can rearrange Ohm's law to find the current through the device:
![I= \frac{V}{R}= \frac{220 V}{220 \Omega}=1 A](https://tex.z-dn.net/?f=I%3D%20%5Cfrac%7BV%7D%7BR%7D%3D%20%5Cfrac%7B220%20V%7D%7B220%20%5COmega%7D%3D1%20A%20%20)
(B) The resistance of a conductive wire depends on three factors. In fact, it is given by:
![R= \rho \frac{L}{A}](https://tex.z-dn.net/?f=R%3D%20%5Crho%20%5Cfrac%7BL%7D%7BA%7D%20)
where
![\rho](https://tex.z-dn.net/?f=%5Crho)
is the resistivity of the material of the wire
L is the length of the wire
A is the cross-sectional area of the wire
Basically, we see that the longer the wire, the larger its resistance; and the larger the section of the wire, the smaller its resistance.
I believe all of these would be known as specific phobias.
It is gravity¿ what is the question?
Lungs vacoules on if those 2