Answer:
a) T ’= 0.999 s
, b) t = 3596.4 s
Explanation:
The angular velocity of a simple pendulum is
w = √g / L
The angular velocity, frequency and period are related
w = 2π f = 2π / T
2π / T = √ g / L
T = 2π √ L / g
L = T² g / 4π²
L = 1² 9.8 / 4π²
L = 0.248 m
To know the effect of the temperature change let's use the thermal expansion ratios
ΔL = α L ΔT
ΔL = 24 10⁻⁶ 0.248 (-4 - 20)
ΔL = 142.8 10⁻⁶ m
Lf - L = -142. 8 10⁻⁶
Lf = 142.8 10⁻⁶ + 0.248
Lf = 0.2479 m
Let's calculate new period
T ’= 2π √ L / g
T ’= 2π √ (0.2479 / 9.8)
T ’= 0.999 s
We can see that the value of the period is reduced so that the clock is delayed
b) change of time in 1 hour
When the clock is at 20 ° C in one hour it performs 3600 oscillations, for the new period the time of this number of oscillations is
t = 3600 0.999
t = 3596.4 s
Therefore the clock is delayed almost 4 s
Answer:
you didn't post any triangles. Thus, the question could not be answered.
As the speed of wave decreases, the wavelength of the wave decreases.
<h3>Refraction</h3>
We know that as a wave travels from one medium to another its speed decreases depending on if the first medium is less dense than the second medium or increases depending on if the first medium is more dense than the second medium. This is known as refraction
Now, we know that the speed of a wave v = fλ where
- f = frequency and
- λ = wavelength. Since f is constant, v ∝ λ.
The ratio of the speed in medium one to speed in medium two is called the refractive index of medium 1 to 2.
<h3>Explaining the diagram</h3>
From the diagram, we see that the wavelength in medium 1 is longer than that in medium 2. Since wavelength and speed are proportional, so the speed in medium 1 is also greater than the speed in medium 2.
So, As the speed of wave decreases, the wavelength of the wave decreases.
Learn more about refraction here:
brainly.com/question/25758484
Answer:
Explanation:
<u>Displacement Vector</u>
The displacement, as every vector, has a magnitude r and a direction angle θ measured from the positive x-axis.
If we know the x-y components of the displacement, the magnitude and angle can be calculated by the equations:
The coordinates of the given vector are x=-12 m, y=21 m, thus:
Since the vector lies in the second quadrant, we add 180° to find the correct direction:
