Answer:
ω, the angular frequency of the source equals 377 rad/s
Explanation:
From the question, V(t) = V cosωt.
Now, ω = the angular frequency of the sinusoidal wave is given by
ω = 2πf where f = the frequency of the source = 60 Hz
So, the angular frequency of the source ,ω = 2π × the frequency of the source.
So, ω = 2πf
ω = 2π × 60 Hz
ω = 120π rad/s
ω = 376.99 rad/s
ω ≅ 377 rad/s
So, ω, the angular frequency of the source equals 377 rad/s
Answer:
dβ = 70. 77 dβ
Explanation:
The intensity of sound in decibels is
dβ = 10 log I/I₀
let's look for the intensity of this signal
I / I₀ = 10 dβ/10
I / I₀ = 3.981 10⁶
the threshold intensity of sound for humans is I₀ = 1 10⁻¹² W / m²
I = 3.981 10 ⁶ 1 10⁻¹²
I = 3,981 10⁻⁶ W / m²
It is indicated that 3 cornets are placed in the circle, for which total intensity is
I_total - 3 I
I_total = 3 3,981 10⁻⁶
I_total = 11,943 10⁻⁶ W / m²
let's reduce to decibels
dβ = 10 log (11,943 10⁻⁶/1 10⁻¹²)
dβ = 10 7.077
dβ = 70. 77 dβ
Answer: 0.29 kN
Explanation:
We have the following data:
is the weight of the astronaut on Earth
is the free fall acceleration due gravity on Earth (directed downwards)
is the free fall acceleration due gravity on Zuton (directed downwards)
is the acceleration of the spaceship at litoff (directed upwards)
We have to find the <u>magnitude of the force</u>
the space ship exerts on the astronaut.
Firstly, we have to know weight has a direct relation with the mass and the acceleration due gravity. In the case of Earth is:
(1)
Where
is the mass of the atronaut.
Isolating
:
(2)
(3)
(4)
Now that we know the mass of the astronaut, we can find its weight on Zuton:
(5)
(6)
(7)
Then, we can calculate the force the space ship exerts on the astronaut by the following equation:
(8)
Isolating
:
(9)
(10)
(11)
Finally:
Answer:
92704.5 J
596.44737 N
Explanation:
m = Mass of person + bicycle = 75 kg
g = Acceleration due to gravity = 9.81 m/s²
h = Vertical height = 126 m
= Angle = 7.7°
d = Diameter = 0.388 m
Work done against gravity is given by

Work done is 92704.5 J
Force required is given by

The force is 596.44737 N
In my opinion,I think the answer is b.You can control variables more easily by doing different things for different purposes.