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raketka [301]
3 years ago
13

A 2.73 kg cylindrical grinding wheel with a radius of 31 cm rotates at 1416 rpm. What is its angular momentum? Answers:

Physics
1 answer:
Nezavi [6.7K]3 years ago
5 0

Answer:

The angular momentum of the wheel is  19.45\ kg-m^2/s.

Explanation:

It is given that,

Mass of the wheel, m = 2.73 kg

Radius of the wheel, r = 31 cm = 0.31 m

Angular speed of the wheel, \omega=1416\ rpm= 148.28\ rad/s

We need to find its angular momentum. It is given by :

L=I\omega

I is the moment of inertia of the wheel, I=\dfrac{mr^2}{2}

L=\dfrac{mr^2}{2}\times \omega

L=\dfrac{2.73\times (0.31)^2}{2}\times 148.28

L = 19.45\ kg-m^2/s

So, the angular momentum of the wheel is  19.45\ kg-m^2/s. Hence, this is the required solution.

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Attempting to impress the skeptical patrol officer with your physics knowledge, you claim that you were traveling so fast that t
horsena [70]

Answer:

v_r = 1.268 × 10⁸ mi/hr

Explanation:

We are given;

wavelength of the red light; λr = 693 nm = 693 × 10^(-9) m

wavelength of the yellow light; λy = 582 nm = 582 × 10^(-9) m

Frequency is given by the formula;

f = v/λ

Where v is speed of light = 3 x 10^(8) m

Frequency of red light; f_o = [3 x 10^(8)]/(693 × 10^(-9)) = 4.33 x 10¹⁴ Hz

Similarly, Frequency of yellow light;

f = [3 x 10⁸]/(582 × 10^(-9)) = 5.15 x 10¹⁴ Hz

To find the speed of the car, we will use the formula;

f = f_o[(c + v_r)/c)]

Where c is speed of light and v_r is speed of car.

Making v_r the subject;

cf/f_o = c + v_r

v_r = c(f/f_o - 1)

So, plugging in the relevant values, we have;

v_r = 3 × 10⁸[((5.15 x 10¹⁴)/(4.33 x 10¹⁴)) - 1]

v_r = 3 × 10⁸(0.189)

v_r = 5.67 x 10⁷ m/s

Converting to mi/hr, 1 m/s = 2.23694 mile/hr

So, v_r = 5.67 × 10⁷ × 2.23694

v_r = 1.268 × 10⁸ mi/hr

5 0
4 years ago
Which of the following best describes a substance in which the temperature remains constant while at the same time it is experie
katen-ka-za [31]

Answer:

The right option is (d) substance undergoing a change of state

Explanation:

Latent Heat: Latent heat is the heat required to change the state of a substance without change in temperature. Latent heat is also known as hidden heat because the heat is not visible. The unit is Joules (J).

Latent heat is divided into two:

⇒ Latent Heat of fusion

⇒ Latent Heat of vaporization.

Latent Heat of fusion: This is the heat  energy required to convert a substance from its solid form to its liquid form without change in temperature. E.g (Ice) When ice is heated, its temperature rise steadily until a certain temperature is reached when the solid begins to melts.

Latent Heat of vaporization: This is the heat required to change a liquid substance to vapor without a change in temperature. The latent heat depend on the mass of the liquid and the nature of the liquid. E.g When water is heated from a known temperature  its boiling point (100°C) When more heat is supplied to its boiling temperature, it continue to boil without a change in temperature.

From The above, Latent heat brings about  a change of state of a substance at a steady temperature.

The right option is (d) substance undergoing a change of state

4 0
3 years ago
A lamp has a current of 2.17 A. In hours, how long does it take for 1 mole of electrons to pass through the lamp?
Gennadij [26K]

<u>Answer:</u> The amount of time needed for 1 mole of electrons to pass through the lamp is 12.33 hrs.

<u>Explanation:</u>

We are given:

Moles of electron = 1 mole

According to mole concept:

1 mole of an atom contains 6.022\times 10^{23} number of particles.

We know that:

Charge on 1 electron = 1.6\times 10^{-19}C

Charge on 1 mole of electrons = 1.6\times 10^{-19}\times 6.022\times 10^{23}=9.6352\times 10^4C

To calculate the time required, we use the equation:

I=\frac{q}{t}

where,

I = current passed = 2.17 A

q = total charge = 9.6352\times 10^4C

t = time required = ?

Putting values in above equation, we get:

2.17A=\frac{9.6352\times 10^4C}{t}\\\\t=\frac{9.6352\times 10^4C}{2.17A}=44402s

Converting this into hours, we use the conversion factor:

1 hr = 3600 seconds

So, 44402s\times \frac{1hr}{3600s}=12.33hr

Hence, the amount of time needed for 1 mole of electrons to pass through the lamp is 12.33 hrs.

3 0
3 years ago
A ball is tossed with a velocity of 10 m/s directed vertically upward from a window located 20 m above the ground. Determine the
marusya05 [52]

Answer:

Explanation:

Given

Initial velocity of ball u=10\ m/s

height of window h=20\ m

Using Equation of motion

y=ut+\frac{1}{2}at^2

where u=initial velocity

t=time

a=acceleration

As ball is already is at a height of 20 m so

Y=ut+\frac{1}{2}at^2+20

Y=10\times t+0.5\times (-9.8)t^2+20

Y=-4.9t^2+10t+20

(b)highest point is obtained at v=0

v^2-u^2=2as

where

v=final velocity

u=initial velocity

a=acceleration

s=displacement

(0)-10^2=2\times (-9.8)\times s

s=\frac{100}{19.6}

s=5.102\ m

Highest Point will be s+20=25.102\ m

(c)Time taken when the ball hit the ground i.e. at Y=0

-4.9t^2+10t+20=0

t=3.28\ s

impact velocity v=\sqrt{2\times 9.8\times 25.102}

v=22.181\ m/s

7 0
3 years ago
Does sound travel faster in a warm room or a cold room? Explain ur answer ?
Solnce55 [7]
Warm because everything travels faster in warm weather
4 0
3 years ago
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