How many Joules of heat are released from a 400g piece of glass that has been

A uniform rod is 2.0 m long. The rod is pivoted about a horizontal, frictionless pin through one end. The moment of inertia of t

emmasim [6.3K]

Answer:

Angular acceleration = 6.37rad/sec²

Approximately, Angular acceleration =

6.4 rad/sec²

Explanation:

Length of the rod = 2.0m long

Inclination of the rod (horizontal) = 30°

Mass of the rod is not given so we would refer to it as = M

Rotational Inertia of the Rod(I) = 1/3ML²

Angular Acceleration = ?

There is an equation that shows us the relationship between Torque and Angular acceleration.

The equation is :

Torque(T) = Inertia × Angular Acceleration

Angular acceleration = Torque ÷ Inertia

Where:

Torque = L/2(MgCosθ)

Where M = Mass

L = Length = 2.0m

θ = Inclination of the rod (horizontal) = 30°

g = Acceleration due to gravity = 9.81m/s²

Inertia = 1/3ML²

Angular Acceleration = (Mass × g × Cos (30°) × (L÷2)) ÷ 1/3ML²

Angular Acceleration =

(3 × g × cos 30°) ÷ 2× L

Angular Acceleration = (3 × 9.81m/s² × cos 30°) ÷ 2× L

Angular Acceleration = 3 × 9.81m/s² × cos 30°) ÷ 2× 2.0m

Angular Acceleration = 6.37rad/sec²

Approximately Angular Acceleration =

6.4rad/sec²

5 0

3 years ago

The concentration of Biochemical Oxygen Demand (BOD) in a river just downstream of a wastewater treatment plant’s effluent pipe

shtirl [24]

Answer:

The BOD concentration 50 km downstream when the velocity of the river is 15 km/day is 63.5 mg/L

Explanation:

Let the initial concentration of the BOD = C₀

Concentration of BOD at any time or point = C

dC/dt = - KC

∫ dC/C = -k ∫ dt

Integrating the left hand side from C₀ to C and the right hand side from 0 to t

In (C/C₀) = -kt + b (b = constant of integration)

At t = 0, C = C₀

In 1 = 0 + b

b = 0

In (C/C₀) = - kt

(C/C₀) = e⁻ᵏᵗ

C = C₀ e⁻ᵏᵗ

C₀ = 75 mg/L

k = 0.05 /day

C = 75 e⁻⁰•⁰⁵ᵗ

So, we need the BOD concentration 50 km downstream when the velocity of the river is 15 km/day

We calculate how many days it takes the river to reach 50 km downstream

Velocity = (displacement/time)

15 = 50/t

t = 50/15 = 3.3333 days

So, we need the C that corresponds to t = 3.3333 days

C = 75 e⁻⁰•⁰⁵ᵗ

0.05 t = 0.05 × 3.333 = 0.167

C = 75 e⁻⁰•¹⁶⁷

C = 63.5 mg/L

5 0

3 years ago

What is speed of light in crown glass?

german

Answer:

1.97 x 10^8 m/s

Explanation:

refractive index of crown glass with respect to air, n = 1.52

speed of light in air, c = 3 x 10^8 m/s

Let v be the speed of light in crown glass.

By use of the definition of refractive index

$n = \frac{c}{v}$

where, n be the refractive index of crown glass, c be the speed of light in vacuum and v be the speed of light in crown glass

$1.52 = \frac{3 \times 10^{8}}{v}$

$v = \frac{3 \times 10^{8}}{1.52}$

v = 1.97 x 10^8 m/s

Thus, the speed of light in crown glass is 1.97 x 10^8 m/s.

5 0

3 years ago

15) a current carrying loop of wire lies flat on a table top. when viewed from above, the current moves around the loop in a cou

Maksim231197 [3]

The correct answer is option C.

Maxwell right hand thumb rule: if we hold a current carrying conductor in our right hand such that the thumb indicates the direction of current then the curling of fingers shows the direction of magnetic field around the conductor.

Here the current is counterclockwise so by use of Maxwell right hand thumb rule the direction of magnetic field is straight up.

Using Fleming right hand rule that States that if the fore-finger, middle finger and the thumb of left hand are stretched mutually perpendicular to each other, such that fore-finger points in the direction of magnetic field, the middle finger points in the direction of the motion of positive charge, then the thumb points to the direction of the force.

So, the current, when viewed from above, seems to move around loop in counterclockwise direction points straight up is because of Maxwell's Thumb Rule.

To know more about magnet, refer: brainly.com/question/17143116

#SPJ4

6 0

9 months ago

Please help with problem it is much appreciated

Ray Of Light [21]

a. linear pairs, when added together, the angles will make 180 degrees, or a straight line. In this case No, for when you combine the two angles, it is not a straight line

b. False. Vertical angles make two opposite angles that are congruent

c. True. When added together, angles 1 and 4 make a straight line

d. False. As stated for question b, the two opposite angles must be congruent

hope this helps

8 0

3 years ago