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FromTheMoon [43]
1 year ago
6

6. A tire 0.500 m in radius rotates at a constant rate of 300 revolutions per minute. Find the speed and acceleration of a small

stone lodged in the tread of the tire (on its outer edge).
Physics
1 answer:
Virty [35]1 year ago
6 0

The speed and acceleration of the stone is 15.7 m/s and 31.4 m/s^{2}.

<h3>What is acceleration?</h3>

Acceleration is the rate at which an object's velocity with respect to time changes. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.

<h3>Calculation of the speed of stone lodged in the tread of the tire:</h3>

Given, radius of tire (r) = 0.500 m

<h3 />

V_{t} =\frac{2\pi r}{T} \\=\frac{2\pi (0.500)}{(60s/300rev)}

= 15.7 m/s

<h3>Calculation of it's acceleration:</h3>

a=\frac{v^{2} }{R}\\\\\= \frac{15.7}{0.500}

= 31.4 m/s^{2} inward

Hence, the speed and acceleration of the stone is 15.7 m/s and 31.4 m/s^{2}

Learn more about velocity here:

brainly.com/question/18084516

#SPJ4

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Katarina [22]

Answer:

depends on how big the car is and what force is moving them.

Explanation:

the 3lb box will go slower because it is the lightest. the 10lb box is the 2nd slowest. the car will be smaller than the 18 wheeler on the road. but it has less cargo so it will probably go faster. if you are dropping it, then the 18 wheeler will go faster. but if you are seeing if it will go faster on the ground, the car will because it has less cargo or wheels to weigh it down.

4 0
2 years ago
Read 2 more answers
A plane starting from rest accelerates at 3m/s2 for 25s. Calculate the increase in velocity after:
horsena [70]
  • Initial velocity=u=0m/s
  • Acceleration=a=3m/s^2

Time not needed now

Case-1:-

  • Time=1s
  • Final velocity=v

\\ \rm\hookrightarrow v=u+at

\\ \rm\hookrightarrow v=0+3(1)

\\ \rm\hookrightarrow v=3m/s

Case-2:-

  • Time=3s

\\ \rm\hookrightarrow v=0+3(3)

\\ \rm\hookrightarrow v=9m/s

Case-3:-

  • Time=25s

\\ \rm\hookrightarrow v=0+3(25)

\\ \rm\hookrightarrow v=75m/s

5 0
2 years ago
At a particular instant, an electron moves toward the east in a uniform magnetic field that is directed straight downward. the m
alexdok [17]

Answer:

towards the south

Explanation:

When the electron enters the region with magnetic field, it experiences a magnetic force perpendicular to both the directions of the electron's velocity and the magnetic field.

The direction of the force exerted on the electron can be found by using the right-hand rule:

- Index finger: direction of the velocity of the electron --> towards the east

- Middle finger: direction of the magnetic field --> downward

- Thumb: direction of the force on a positive particle --> towards the north

However, the electron is a negatively charged particle, so we must reverse the direction of the force: therefore, the force exerted on the electron is towards the south.

4 0
3 years ago
An insulated rigid tank contains 4 kg of argon gas at 450 kPa and 30°C. A valve is now opened, and argon is allowed to escape un
zheka24 [161]

Answer: The final mass of the tank is 2.46kg

Explanation: All shown in the attachment.

Assumptions:

i. Argon is treated as an ideal gas at the specified conditions.

ii. Isentropic relation of ideal gas applies at the given conditions.

4 0
2 years ago
When the valve between the 2.00-L bulb, in which the gas pressure is 2.00 atm, and the 3.00-L bulb, in which the gas pressure is
padilas [110]

Answer:

P_{C} = 3.2\, atm

Explanation:

Let assume that gases inside bulbs behave as an ideal gas and have the same temperature. Then, conditions of gases before and after valve opened are now modelled:

Bulb A (2 L, 2 atm) - Before opening:

P_{A} \cdot V_{A} = n_{A} \cdot R_{u} \cdot T

Bulb B (3 L, 4 atm) - Before opening:

P_{B} \cdot V_{B} = n_{B} \cdot R_{u} \cdot T

Bulbs A & B (5 L) - After opening:

P_{C} \cdot (V_{A} + V_{B}) = (n_{A} + n_{B})\cdot R_{u} \cdot T

After some algebraic manipulation, a formula for final pressure is derived:

P_{C} = \frac{P_{A}\cdot V_{A} + P_{B}\cdot V_{B}}{V_{A}+V_{B}}

And final pressure is obtained:

P_{C} = \frac{(2\,atm)\cdot (2\,L)+(4\,atm)\cdot(3\,L)}{5\,L}

P_{C} = 3.2\, atm

5 0
2 years ago
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