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salantis [7]
3 years ago
13

The head of a grass string trimmer has 100 g of cord wound in a light, cylindrical spool with inside diameter 3.00 cm and outsid

e diameter 18.0 cm as shown in the figure below. The cord has a linear density of 10.0 g/m. A single strand of the cord extends 16.0 cm from the outer edge of the spool. (a) When switched on, the trimmer speeds up from 0 to 2 250 rev/min in 0.230 s. What average power is delivered to the head by the trimmer motor while it is accelerating? W (b) When the trimmer is cutting grass, it spins at 1 915 rev/min and the grass exerts an average tangential force of 8.80 N on the outer end of the cord, which is still at a radial distance of 16.0 cm from the outer edge of the spool. What is the power delivered to the head under load?

Physics
2 answers:
Novosadov [1.4K]3 years ago
7 0

Answer:

a) 72.2 W

b) 441 W

Explanation:

faust18 [17]3 years ago
4 0

Answer:

a).11.546J

b).2.957kW

Explanation:

Using Inertia and tangential velocity

a).

w=2250*2\pi *\frac{1}{60}\\ w=235.61

I=\frac{1}{2}*m*((\frac{d_{i} }{2})^{2} +(\frac{d_{e} }{2})^{2})\\m=100g *\frac{ikg}{1000g}=0.1kg\\ d_{i}=3cm*\frac{1m}{100cm}=0.03m \\ d_{e}=18cm*\frac{1m}{100cm}=0.18m\\I=\frac{1}{2}*0.1kg*((\frac{0.03m}{2})^{2} +(\frac{0.18m}{2})^{2})\\I=0.41625x10^{-3}kg*m^{2}

Now using Inertia an w

E=\frac{1}{2}*I*(w)^{2} \\ E=\frac{1}{2}*0.416x10^{-3}*(235.61)^{2} \\E=11.54J

average power=\frac{11.4J}{0.230s}=50.2 W

b).

power=t*w

P=11.5465*0.25*235.61

P=2.957 kW

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(a) Two 44 g ice cubes are dropped into 220 g of water in a thermally insulated container. If the water is initially at 24°C, an
True [87]

Answer:

A.) 16.45 degree

B.) 19.86 degree

Explanation:

The parameters given in the question are:

Mass of the ice = 2 × 44g = 88g

Mass of water = 220g

Water temperature T1 = 24 degrees

Initial ice temperature TC = - 19 degrees

The specific heat of water is 4186 J/kg·K. The specific heat of ice is 2220 J/kg·K. The latent heat of fusion is 333 kJ/kg.

When the ice were dropped into the water, the ice gain heat and the water loses heat to the ice.

From the conservative of energy

Heat gain by the ice = heat lost by the water.

That is,

ML + MC Øi = MC Øw

Where Ø = change in temperature

88 × 333 + 88 × 2220 ( T + 19 ) = 220 × 4186 ( 24 - T )

29304 + 195360(T + 19) = 920920(24 -T)

Open the bracket

29304 + 195360T + 3711840 = 22102080 - 920920T

3741144 + 195360T = 22102080 - 920920T

Collect the like terms

195360T + 920920T = 22102080 - 3741144

1116280T = 18360936

T = 18360936 / 1116280

T = 16.45 degree

(b) What is the final temperature if only one ice cube is used?

Using the same formula

ML + MCØ = MCØ

44 × 333 + 44 × 2220 ( T + 19 ) = 220 × 4186 ( 24 - T )

14652 + 97680(T + 19) = 920920(24 -T)

Open the bracket

14652 + 97680T + 1855920 = 22102080 - 920920T

1870572 + 97680T = 22102080 - 920920T

Collect the like terms

97680T + 920920T = 22102080 - 1870572

1018600T = 20231508

T = 20231508 / 1018600

T = 19.86 degree

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Wilbur ran 1-kilometer. Then he ran 500 meters. How many meters did Wilbur run all together?
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Answer:

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Explanation:

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Average Speed of Jack = 80 km/h

Time taken by Jack to complete his journey = Distance / Average speed = 360 km / 80 km/h

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As it is given the both Jack and Elain travelled the same amount of distance:

Total distance travelled by Elain = 360 km

It is given that Elain took 1.5 hourse more than Jack to cover the distance, so Time taken by Elain to cover the distance is = 4.5 hours + 1.5 hours = 6 hours

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Which of the following is the best example of a primary circular reaction?
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