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nadezda [96]
3 years ago
7

Two wires A and B with circular cross-section are made of the same metal and have equal lengths, but the resistance of wire A is

four times greater than that of wire B. What is the ratio of the radius of A to that of B
Physics
1 answer:
Nesterboy [21]3 years ago
6 0

Answer:

r₁/r₂ = 1/2 = 0.5

Explanation:

The resistance of a wire is given by the following formula:

R = ρL/A

where,

R = Resistance of wire

ρ = resistivity of the material of wire

L = Length of wire

A = Cross-sectional area of wire = πr²

r = radius of wire

Therefore,

R = ρL/πr²

<u>FOR WIRE A</u>:

R₁ = ρ₁L₁/πr₁²   -------- equation 1

<u>FOR WIRE B</u>:

R₂ = ρ₂L₂/πr₂²   -------- equation 2

It is given that resistance of wire A is four times greater than the resistance of wire B.

R₁ = 4 R₂

using values from equation 1 and equation 2:

ρ₁L₁/πr₁² = 4ρ₂L₂/πr₂²

since, the material and length of both wires are same.

ρ₁ = ρ₂ = ρ

L₁ = L₂ = L

Therefore,

ρL/πr₁² = 4ρL/πr₂²

1/r₁² = 4/r₂²

r₁²/r₂² = 1/4

taking square root on both sides:

<u>r₁/r₂ = 1/2 = 0.5</u>

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An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s 1045 rad/s ). If a particular disk is
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Answer:

The magnitude of the average angular acceleration of the disk is 4139.74\ rad/s^2.

Explanation:

Given that,

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Time, t = 0.234 s

We need to find the magnitude of the average angular acceleration of the disk. It is given by change in angular velocity per unit time. So,

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So, the magnitude of the average angular acceleration of the disk is 4139.74\ rad/s^2.

5 0
2 years ago
1) The energy held in the molecules that your lunch is composed of
Rasek [7]

Answer:

Chemical energy

Explanation:

The energy held in the foods molecules a lunch pack is composed of is chemical energy.

They occur within food substances which originates from plants and animals as giant organic molecules.

  • Since food is often derived from plants and animals.
  • Plants produce their own food by producing macromolecules from simple inorganic substances in the environment.
  • Animals takes up these food and build their own body through it.
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4 0
3 years ago
An intergalactic rock star bangs his drum every 1.50 s. A person on earth measures that the time between beats is 2.70 s. How fa
sineoko [7]

Answer:

v = 83.1 % of speed of light

Explanation:

given,

T_e is the earth time = 2.7 s

T_s is the ship time = 1.5 s

we know,

T_s = T_e \times \gamma

where c is the speed of light

v is the speed of the rock star moving

T_s = T_e\times \sqrt{1-\dfrac{v^2}{c^2}}

1.5= 2.7\times \sqrt{1-\dfrac{v^2}{c^2}}

\sqrt{1-\dfrac{v^2}{c^2}} =0.556

squaring both side

1-\dfrac{v^2}{c^2}=0.3086

v^2=0.6914c^2

v = 0.831 c

v = 83.1 % of speed of light

7 0
3 years ago
Ayudaaaaa por favorrrrrrrr!
abruzzese [7]
Same for #1 I have to say the same thing
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