The equivalent resistance of the two cylindrical conductors connected in parallel is 466 ohm.
<h3>Resistance</h3>Resistance is a measure of the opposition to flow of electric current. It is measured in ohms.
It is given by the formula:
Given that R₂ = 469 ohm, hence:
But l₁ = 6l₂, r₁ = (1/5)r₂, hence:
The equivalent resistance (R) is:
The equivalent resistance of the two cylindrical conductors connected in parallel is 466 ohm.
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The tip of the fan moves through the outer side of the circle.
So it moves a distance of perimeter of circle in one revolution.
Perimeter of circle = 2r, where r is the radius of circle.
In this case radius of circular motion = 0.19 meter
So perimeter of circle = 2*0.19 = 0.38
= 1.194 m
So distance does the tip move in one revolution = 1.194 meter
Answer:
Q = 165.95 cm³ / s, 1) v = , 2) v = 2.05 m / s,
3) d₂ = 1.014 cm
Explanation:
This is a fluid mechanics exercise
1) the continuity equation is
Q = v A
where Q is the flow rate, A is area and v is the velocity
the area of a circle is
A = π r²
radius and diameter are related
r = d / 2
substituting
A = π d²/4
Q = π/4 v d²
let's reduce the magnitudes
v = 0.55 m / s = 55 cm / s
let's calculate
Q = π/4 55 1.96²
Q = 165.95 cm³ / s
If we focus on a water particle and apply the zimematics equations
v² = v₀² + 2 g y
where the initial velocity is v₀ = 0.55 m / s
v =
v =
2) ask to calculate the velocity for y = 0.2 m
v =
v = 2.05 m / s
3) We write the continuous equation for this point 2
Q = v₂ A₂
A₂ = Q / v₂
let us reduce to the same units of the SI system
Q = 165.95 cm³ s (1 m / 10² cm) ³ = 165.95 10⁻⁶ m³ / s
A₂ = 165.95 10⁻⁶ / 2.05
A₂ = 80,759 10⁻⁶ m²
area is
A₂ = π/4 d₂²
d₂ =
d₂ =
d₂ = 10.14 10⁻³ m
d₂ = 1.014 cm