To solve the problem, it is necessary to apply the concepts related to the kinematic equations of the description of angular movement.
The angular velocity can be described as
Where,
Final Angular Velocity
Initial Angular velocity
Angular acceleration
t = time
The relation between the tangential acceleration is given as,
where,
r = radius.
PART A ) Using our values and replacing at the previous equation we have that
Replacing the previous equation with our values we have,
The tangential velocity then would be,
Part B) To find the displacement as a function of angular velocity and angular acceleration regardless of time, we would use the equation
Replacing with our values and re-arrange to find
That is equal in revolution to
The linear displacement of the system is,
Complete Question
A thin uniform film of refractive index 1.750 is placed on a sheet of glass with a refractive index 1.50. At room temperature ( 18.8 ∘C), this film is just thick enough for light with a wavelength 580.9 nm reflected off the top of the film to be canceled by light reflected from the top of the glass. After the glass is placed in an oven and slowly heated to 170 ∘C, you find that the film cancels reflected light with a wavelength 588.2 nm .
What is the coefficient of linear expansion of the film? (Ignore any changes in the refractive index of the film due to the temperature change.) Express your answer using two significant figures.
Answer:
the coefficient of linear expansion of the film is
Explanation:
From the question we are told that
The refractive index of the film is
The refractive index of the glass is
The wavelength of light reflected at 18°C is
The wavelength of light reflected at 170°C is
For destructive interference the condition is
Where m is the order of interference
t is the thickness
For the smallest thickness is when m= 1 and this is represented as
At 18°C the thickness would be
\
At 170° the thickness is
The coefficient of linear expansion f the film is mathematically represented as
Substituting value
Given data
mass of solute (m) = 1.2 g ,
Volume of solution = 1.5 L ,
= 1.5 × 1000 mL
= 1500 mL ,
What is the concentration of solution = ?
concentration = (mass of solute) ÷ (100 mL of solution)
= (1.2) ÷ (1500 mL of solution)
<em> Note: </em><em> remember to divide both numerator and denominator by 15 to get concentration per 100 ml</em>
<em> Therefore concentration = 0.1 /100 mL ;</em>
<em>The concentration of sugar in a tea is 0.1/100 mL</em>
A. The molecules start packed together very tightly in a solid. Then when it turns to water, the molecules can move around each other freely, but still contained. When water turns to vapor, the molecules are going crazy moving around. They are not contained at all and bounce of of each other freely.
b. The temperature rises. (ice turns to water at 33 degrees and water turns to vapor at 212 degrees)
That is meters per second, same as velocity.