Answer: ∆L = 0.49cm ≈ 0.50cm
Therefore there should be 0.5 cm gap between each piece of steel.
Explanation:
Thermal expansion of steel is the increase in size of steel as a result of increased temperature. It can be represented by the mathematical expression:
∆L = L(k)∆T .....1
Where;
∆L is the change in length
L is the initial length
∆T is the change in temperature
k is the specific Linear expansion coefficient.
Given;
L = 12m
∆T = 50°C - 16°C = 34°C
k (for steel) = 1.2 × 10^-6 /C
Substituting the values into the equation 1
∆L = 12 × 34 × 12×10^-6
∆L = 4896 × 10^-6 m
∆L = 0.49cm ≈ 0.50cm
Therefore there should be 0.5 cm gap between each piece of steel.
The concept that must be applied to solve this problem is that of the magnetic field on Toroid described since the law of Ampere. Mathematically the magnetic field is determined as

Where
= Permeability constant
N = Number of loops
I = Current
r = Radius
As we can see the magnetic field inside a Toroid is NOT uniform, since it is highly proportional to the radius. Which means that as the radius increases the magnetic field decreases.
Therefore the correct answer is: FALSE
The cyclist is moving by uniformly accelerated motion, with an initial velocity of

and an acceleration of

.
The acceleration is given by

where

is the final velocity and

is the time between the end and the beginning of the motion, and in our case it is 1.75 s. Therefore, from this relationship we can find the final velocity:
The frequency of the 10th harmonic is 800 Hz
Explanation:
The frequency of the nth-harmonic for the standing waves in a string is given by the equation

where
is the fundamental frequency of the string
In this problem, we are given the frequency of the 3rd harmonic:

Which can be rewritten in terms of the fundamental frequency

So we find
:

Now that we have the fundamental frequency, we can find the frequency of the 10th harmonic, with n = 10 :

Learn more about waves:
brainly.com/question/5354733
brainly.com/question/9077368
#LearnwithBrainly