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Dmitry [639]
3 years ago
5

A race car is driven around a circular track at a constant speed of 180mph. If the diameter is 1/2 mile, what is the angular spe

ed of the car? Express your answer in revolutions per hour. The formula for angular speed is w=theta (in radians)/time
Mathematics
1 answer:
Bogdan [553]3 years ago
4 0
If the diameter is 1/2 mile, that is 0.5 mile, then the radius is 0.25 -half of it!

the angular speed is theta/time, which means

 w=theta/time

but another formula for it is Velocity*radians

w=velocity*radians

velocity is 180 mph and radians are (revolution/2\pi radius), that is:

w=180*(1/2\pi*0.25)
and if we calculate this, we have: w=114.59, which is the correct answer!
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Answer:

Ivan got £90 more than Tanya.

Step-by-step explanation:

Ivan and Tanya share the amount £150 in the ratio of 4 : 1

Amount received by Ivan = 150\times \frac{4}{(4+1)}

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Similarly, amount received by Tanya = 150\times \frac{1}{(4+1)}

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Difference in their amounts = 120 - 30

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Therefore, Ivan got £90 more than Tanya.                                                                                                        

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