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Airida [17]
3 years ago
15

The wheels on Darlene's car have on 11-inch radius. If the wheels are rotating at a rate of 378 rpm, find the linear speed in mi

les per hour in which she is traveling.
Mathematics
1 answer:
elena-s [515]3 years ago
8 0

Answer:

The linear speed in which Darlene is traveling is 24.74 miles per hour.

Step-by-step explanation:

The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (v), measured in inches per second, is defined by following expression:

v = R\cdot \omega (1)

Where:

R - Radius of the wheel, measured in inches.

\omega - Angular speed, measured in radians per second.

If we know that R = 11\,in and \omega \approx 39.584\,\frac{rad}{s}, then the linear speed, measured in miles per hour, in which Darlene is traveling is:

v = 11\,in\times \frac{1\,mi}{63360\,in} \times 39.584\,\frac{rad}{s}\times \frac{3600\,s}{h}

v \approx 24.74\,\frac{mi}{h}

The linear speed in which Darlene is traveling is 24.74 miles per hour.

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Answer:

b. 8,800,000.

Step-by-step explanation:

In maria study the number of cars on the road increases by 10% each year.

Total number of cars in the first year =80 million cars.

We will add 10% of 80 million to 80 milion to enable us get the number of cars for the second year.

For year 2 we have;

10% of 80,000,000+80,000,000

\frac{10}{100}*80,000,000+80,000,000

8,000,000 + 80,000,000

88,000,000

number of cars in year 2 = 88 million

We will add 10% of 88 million to 88 milion to enable us get the number of cars for the third year.

\frac{10}{100}*88,000,000+88,000,000

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96,800,000

the number of cars on the road in year 3 compared to year 2 will just be the increase which is in BOLD. That is 8,800,000

<em>or simply subtract the number of cars in year 2 from that in year 3;</em>

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8 0
3 years ago
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Nadusha1986 [10]

Answer:

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Step-by-step explanation:

The standard form of an equation of a line:

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Convert

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24x-40y=-18          <em>divide both sides by 2</em>

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Ede4ka [16]
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