A bus contains a 1420 kg flywheel (a disk that has a 0.65 m radius) and has a total mass of 10800 kg.
Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 18 m/s in rad/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy. How high a hill can the bus climb with this stored energy and still have a speed of 3.15 m/s at the top of the hill in m?

Answers

Answer 1

The angular velocity of the flywheel must be approximately 184.79 rad/s. The bus can climb a hill with a height of approximately 114.68 m and still have a speed of 3.15 m/s at the top.

To calculate the angular velocity of the flywheel, we first determine its moment of inertia (I) using the formula (1/2) * m * r^2, where m is the mass (1420 kg) and r is the radius (0.65 m). This gives us I = 290.725 kg·m^2.The kinetic energy required to accelerate the bus from rest to a speed of 18 m/s is calculated by multiplying 90% of the rotational kinetic energy by 0.9 * (1/2) * I * ω^2. Solving for ω, we find ω = 184.79 rad/s. To determine the maximum hill height, we equate the initial rotational kinetic energy (0.9 * K) to the potential energy at the top of the hill, which is m * g * h, where m is the total mass of the bus (10800 kg), g is the acceleration due to gravity, and h is the height. Solving for h, we find the bus can climb approximately 114.68 m while maintaining a speed of 3.15 m/s at the top.

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Answer:

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Identify the following as
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A magnet is any material or object that produces a magnetic field. This magnetic field is responsible for the property of a magnet: a force that pulls on other ferromagnetic materials and attracts or repels other magnets.


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some knee pads for soccer

The effect of collision during a soccer game can be minimized by wearing a shin protection gear called the shin guard.

The protection gear is usually worn in other to palliate the effect of collison during sporting activities.

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Answers

Answer:

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Explanation:

momentum = Mass × Velocity

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Answer:

60

Explanation:

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Answer:

Explanation:

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Answers

Answer:

10880N

Explanation:

We are given that

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[tex]g=9.8m/s^2[/tex]

We have to find the tension in the cable.

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READ ALL PLEASE

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Answer:

can I have please I will follow u..............

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Answer:

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Answer:

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Please press “Thanks!” after viewing my answer:
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Answers

Answer:

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Answer:

True

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Surface runoff is the flow of water which is occurring on the ground surface when there is excess rainwater, storm water, melt water, or other sources of water, which can no longer sufficiently rapidly infiltrate in the soil of the region.

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HELLO

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How are humidity and precipitation related?
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b.When humidity is high, the chance of precipitation is high.
c.When humidity is high, the chance of precipitation is low.
d.Changes in humidity do not cause precipitation.

Answers

Answer:

Relative humidity depends on the amount moisture actually in the air at some temperature to the amount of moisture that the air can hold.

For instance, at 25 deg C the air has a saturation pressure of 23.76 mm of Hg.

That means that if at that temperature the pressure of the water vapor in the air reaches 23.76 mm Hg then the air is 100% saturated.

I believe the standard air pressure at 25 deg C is 760 mm Hg.

Now if the pressure of the water vapor in the air is 1/2 * 23.76 = 11.88 mm then the air is 50% saturated and the relative hunidity is 50 %.

At 100% relative humidity rain occurs (the air can't hold any more water).

When humidity is high, the chance of precipitation is high. The correct answer is b. When humidity is high, the chance of precipitation is high.

The amount of moisture or water vapor in the air is referred to as humidity. Relative humidity is a common way to measure it since it shows how much moisture the air is holding relative to how much it could contain at a particular temperature.

Any type of water that falls from the atmosphere and makes it to the surface of the Earth is referred to as precipitation. Examples include rain, snow, sleet, and hail.

When humidity levels are high, there is a lot of moisture in the air, which increases the possibility that saturation will occur. Excess water vapor condenses into visible water droplets or ice crystals as the air gets saturated, creating clouds. Condensed moisture in the clouds eventually gains enough weight to return to Earth as precipitation.

Therefore, when humidity is high, the chance of precipitation is high. The correct answer is:

b. When humidity is high, the chance of precipitation is high.

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