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Stells [14]
3 years ago
9

A motorcycle is traveling at 42 miles per hour on tires that measure 1.2 feet in diameter. Find the approximate angular speed of

the tires in radians per minute
Mathematics
1 answer:
horrorfan [7]3 years ago
4 0

Answer:

angular speed = 10,266.424 radians per minute

Step-by-step explanation:

Angular speed w= Velocity (v)/ radius(r)

w= 221760/0.6=  369,600/5280 feet per hour= 70 miles per hour

Circumference of the wheel = 2πr

2π(0.6)= 3.77 feet

Converting feet to miles

3.77/5280=  7.3 e-⁴ miles

No of revolutions= 369600/ 3.77= 98,037. 14 revolutions per hour

Converting it to mins= 98,037.14/60= 1634 rev per minute

2π rad= 1 rev

1634*2π= 10,266.424 radians per minute

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Answer:

The number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.

Step-by-step explanation:

Let x represents the number of miles at which a car rented from either company cost the same amount. Therefore, we can have the following equation:

RC = 25 + 0.14x ....................... (1)

BC = 23 + 0.18x ...................... (2)

Where;

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The the cost of the two companies equal where RC = BC. Therefore, we equate equations (1) and (2) and solve for x as follows:

25 + 0.14x = 23 + 0.18x

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Therefore, the number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.

<u>Note:</u>

This can be confirmed for equations (1) and (2) individually by substituting for x = 50 as follows:

For equation (1):

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For equation (2):

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Therefore, RC = BC = 32 confirms the answer.

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Hope this helps!

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